Network Visualization¶
In this demo, I will illustate how to visualize a network in Blender 5.0.1.
Here's how the final result looks as an image:
Download network-visualization.blend
Advanced project
This is quite an advanced project, so take it as inspiration for the overall steps. It might be a difficult endeavour to reproduce this 100%.
What the visualization shows¶
This visualization maps the dependency structure of Euclid's Elements across all 13 books. Each proposition in a book can reference definitions, postulates, common notions, and propositions from the same or earlier books. The more references a proposition accumulates (counted recursively), the taller its bar appears. Lines connect each proposition to its dependencies, so the web of logical connections across all books is revealed.
Preparing Data¶
The dependency data was extracted from Euclid's Elements. A full reference of the original text is available here: Euclid's Elements (PDF).
Dependency graph data (click to expand)
{
"book1": {
"D1.1": [],
"D1.2": [],
"D1.3": [],
"D1.4": [],
"D1.5": [],
"D1.6": [],
"D1.7": [],
"D1.8": [],
"D1.9": [],
"D1.10": [],
"D1.11": [],
"D1.12": [],
"D1.13": [],
"D1.14": [],
"D1.15": [],
"D1.16": [],
"D1.17": [],
"D1.18": [],
"D1.19": [],
"D1.20": [],
"D1.21": [],
"D1.22": [],
"D1.23": [],
"Prop1.1": ["Post.3", "Post.3", "Post.1", "CN.1", "D1.15"],
"Prop1.2": ["Post.1", "Prop1.1", "Post.2", "Post.3", "Post.3", "CN.1", "CN.3", "D1.15"],
"Prop1.3": ["Prop1.2", "Post.3", "CN.1", "D1.15"],
"Prop1.4": ["Post.1", "CN.4"],
"Prop1.5": ["Post.2", "Prop1.3", "Post.1", "Prop1.4", "Prop1.4", "CN.3"],
"Prop1.6": ["Prop1.3", "Post.1", "Prop1.4", "CN.5"],
"Prop1.7": ["Post.1", "Prop1.5", "Prop1.5", "CN.5"],
"Prop1.8": ["Prop1.7", "CN.4"],
"Prop1.9": ["Prop1.3", "Prop1.1", "Prop1.8"],
"Prop1.10": ["Prop1.1", "Prop1.9", "Prop1.4"],
"Prop1.11": ["Prop1.3", "Prop1.1", "Prop1.8", "D1.10"],
"Prop1.12": ["Post.3", "Prop1.10", "Prop1.8", "D1.10"],
"Prop1.13": ["Prop1.11", "CN.1", "CN.2", "D1.10"],
"Prop1.14": ["Prop1.13", "CN.1", "CN.3", "Post.4"],
"Prop1.15": ["Prop1.13", "Prop1.13", "CN.1", "CN.3", "Post.4"],
"Prop1.16": ["Prop1.10", "Prop1.3", "Prop1.15", "Prop1.4"],
"Prop1.17": ["Prop1.16", "Prop1.13"],
"Prop1.18": ["Prop1.3", "Prop1.16", "Prop1.5"],
"Prop1.19": ["Prop1.5", "Prop1.18"],
"Prop1.20": ["Prop1.3", "Prop1.5", "Prop1.19"],
"Prop1.21": ["Prop1.20", "Prop1.20", "Prop1.16"],
"Prop1.22": ["Prop1.20", "Prop1.3"],
"Prop1.23": ["Prop1.22", "Prop1.8"],
"Prop1.24": ["Prop1.23", "Prop1.3", "Prop1.4", "Prop1.5", "Prop1.19", "Post.1"],
"Prop1.25": ["Prop1.4", "Prop1.24"],
"Prop1.26": ["Prop1.3", "Prop1.4", "Prop1.4", "Prop1.3", "Prop1.4", "Prop1.16", "Prop1.4"],
"Prop1.27": ["Prop1.16", "D1.23"],
"Prop1.28": ["Prop1.15", "Prop1.27", "Prop1.13", "Prop1.27", "Post.4"],
"Prop1.29": ["Prop1.13", "Post.5", "Prop1.15", "Prop1.13", "D1.23"],
"Prop1.30": ["Prop1.29", "Prop1.29", "Prop1.27"],
"Prop1.31": ["Prop1.23", "Prop1.27"],
"Prop1.32": ["Prop1.31", "Prop1.29", "Prop1.29", "Prop1.13"],
"Prop1.33": ["Prop1.29", "Prop1.4", "Prop1.27"],
"Prop1.34": ["Prop1.29", "Prop1.29", "Prop1.26", "Prop1.4"],
"Prop1.35": ["Prop1.34", "Prop1.34", "Prop1.29", "Prop1.4"],
"Prop1.36": ["Prop1.34", "Prop1.33", "Prop1.34", "Prop1.35", "Prop1.34"],
"Prop1.37": ["Prop1.31", "Prop1.31", "Prop1.35", "Prop1.34", "Prop1.34"],
"Prop1.38": ["Prop1.31", "Prop1.31", "Prop1.36", "Prop1.34"],
"Prop1.39": ["Prop1.31", "Prop1.37"],
"Prop1.40": ["Prop1.31", "Prop1.38"],
"Prop1.41": ["Prop1.37", "Prop1.34"],
"Prop1.42": ["Prop1.10", "Prop1.23", "Prop1.31", "Prop1.31", "Prop1.38", "Prop1.41"],
"Prop1.43": ["Prop1.34", "Prop1.34"],
"Prop1.44": ["Prop1.42", "Prop1.31", "Prop1.31", "Prop1.29", "Post.5", "Prop1.31", "Prop1.43", "Prop1.15", "Prop1.23"],
"Prop1.45": ["Prop1.42", "Prop1.44", "Prop1.29", "Prop1.14", "Prop1.29", "Prop1.29", "Prop1.14", "Prop1.34", "Prop1.34", "Prop1.30", "Prop1.33"],
"Prop1.46": ["Prop1.11", "Prop1.3", "Prop1.31", "Prop1.31", "Prop1.34", "Prop1.29", "Prop1.34", "D1.22"],
"Prop1.47": ["Prop1.46", "Prop1.31", "Prop1.14", "Prop1.4", "Prop1.41", "Prop1.41", "Post.4"],
"Prop1.48": ["Prop1.11", "Prop1.3", "Prop1.47", "Prop1.8"]
},
"book2": {
"D2.1": [],
"D2.2": [],
"Prop2.1": ["Prop1.11", "Prop1.3", "Prop1.31", "Prop1.31", "Prop1.34"],
"Prop2.2": ["Prop1.46", "Prop1.31"],
"Prop2.3": ["Prop1.46", "Prop1.31"],
"Prop2.4": ["Prop1.46", "Prop1.31", "Prop1.31", "Prop1.29", "Prop1.5", "Prop1.6", "Prop1.34", "Prop1.29", "Prop1.34", "Prop1.34", "Prop1.43"],
"Prop2.5": ["Prop1.46", "Prop1.31", "Prop1.31", "Prop1.31", "Prop1.43", "Prop1.36", "Prop1.10"],
"Prop2.6": ["Prop1.46", "Prop1.31", "Prop1.31", "Prop1.31", "Prop1.36", "Prop1.43", "Post.2", "Prop1.10"],
"Prop2.7": ["Prop1.46", "Prop1.43"],
"Prop2.8": ["Prop1.3", "Prop1.46", "Prop1.34", "Prop1.34", "Prop1.36", "Prop1.43", "Prop1.36", "Prop1.43"],
"Prop2.9": ["Prop1.11", "Prop1.3", "Prop1.31", "Prop1.31", "Prop1.5", "Prop1.32", "Prop1.29", "Prop1.32", "Prop1.6", "Prop1.29", "Prop1.32", "Prop1.6", "Prop1.47", "Prop1.47", "Prop1.34", "Prop1.47", "Prop1.47"],
"Prop2.10": ["Prop1.11", "Prop1.3", "Prop1.31", "Prop1.31", "Prop1.29", "Post.5", "Prop1.5", "Prop1.32", "Prop1.15", "Prop1.29", "Prop1.6", "Prop1.34", "Prop1.6", "Prop1.47", "Prop1.47", "Prop1.34", "Prop1.47", "Prop1.47", "Prop1.10"],
"Prop2.11": ["Prop1.46", "Prop1.10", "Prop1.3", "Prop1.46", "Prop2.6", "Prop1.47", "Post.1", "Post.2"],
"Prop2.12": ["Prop1.12", "Prop2.4", "Prop1.47", "Prop1.47"],
"Prop2.13": ["Prop1.12", "Prop2.7", "Prop1.47", "Prop1.47"],
"Prop2.14": ["Prop1.45", "Prop1.3", "Prop1.10", "Prop2.5", "Prop1.47"]
},
"book3": {
"D3.1": [],
"D3.2": [],
"D3.3": [],
"D3.4": [],
"D3.5": [],
"D3.6": [],
"D3.7": [],
"D3.8": [],
"D3.9": [],
"D3.10": [],
"D3.11": [],
"Prop3.1": ["Prop1.9", "Prop1.11", "Prop1.9", "Prop1.8", "D1.10"],
"Prop3.2": ["Prop3.1", "Prop1.5", "Prop1.16", "Prop1.5", "Prop1.19"],
"Prop3.3": ["Prop3.1", "Prop1.8", "Prop1.5", "Prop1.26", "D1.10"],
"Prop3.4": ["Prop3.1", "Prop3.3", "Prop3.3"],
"Prop3.5": ["Post.3", "Post.3", "Post.3"],
"Prop3.6": ["Post.3", "Post.1", "Post.3"],
"Prop3.7": ["Prop1.20", "Prop1.24", "Prop1.20", "Prop1.23", "Prop1.4", "Prop3.1"],
"Prop3.8": ["Prop3.1", "Prop1.20", "Prop1.24", "Prop1.20", "Prop1.21", "Prop1.23", "Prop1.4", "Prop3.1"],
"Prop3.9": ["Prop1.10", "Prop1.8", "Prop3.1", "D1.10"],
"Prop3.10": ["Prop1.11", "Prop3.1", "Prop3.1", "Prop3.5", "Prop1.10"],
"Prop3.11": ["Prop3.1", "Prop3.1", "Prop1.20"],
"Prop3.12": ["Prop3.1", "Prop3.1", "Prop1.20"],
"Prop3.13": ["Prop3.1", "Prop3.1", "Prop3.11", "Prop3.2", "D3.3"],
"Prop3.14": ["Prop1.12", "Prop3.3", "Prop1.47", "Prop1.47", "Prop1.47", "Prop1.47", "D3.4", "Prop3.1"],
"Prop3.15": ["Prop3.1", "Prop1.12", "Prop1.3", "Prop1.11", "Prop3.14", "Prop1.20", "Prop1.24", "D3.5"],
"Prop3.16": ["Prop1.11", "Prop1.5", "Prop1.17", "Prop1.12", "Prop1.19", "Prop3.2", "Prop3.1"],
"Prop3.17": ["Prop3.1", "Prop1.11", "Prop1.4", "Prop3.16"],
"Prop3.18": ["Prop3.1", "Prop1.12", "Prop1.17", "Prop1.19"],
"Prop3.19": ["Prop1.11", "Prop3.18", "Prop3.1"],
"Prop3.20": ["Prop1.5", "Prop1.32", "Prop3.1", "Post.2"],
"Prop3.21": ["Prop3.1", "Prop3.20"],
"Prop3.22": ["Prop1.32", "Prop3.21", "Prop3.21"],
"Prop3.23": ["Prop1.16", "D3.11"],
"Prop3.24": ["Prop3.10", "CN.4", "Prop3.23"],
"Prop3.25": ["Prop1.10", "Prop1.11", "Prop1.23", "Prop1.6", "Prop1.4", "Prop3.9", "Prop1.6", "Prop1.23", "Post.2", "Post.3"],
"Prop3.26": ["Prop1.4", "Prop3.24", "D3.11", "Prop3.1"],
"Prop3.27": ["Prop1.23", "Prop3.26", "Prop3.20", "Post.3"],
"Prop3.28": ["Prop3.1", "Prop1.8", "Prop3.26", "D3.1"],
"Prop3.29": ["Prop3.1", "Prop3.27", "Prop1.4", "D3.1"],
"Prop3.30": ["Prop1.10", "Prop1.11", "Prop1.4", "Prop1.28"],
"Prop3.31": ["Prop1.5", "Prop1.5", "Prop1.32", "Prop1.17", "Prop3.22", "D1.10", "Post.3", "Post.2"],
"Prop3.32": ["Prop1.11", "Prop3.19", "Prop3.31", "Prop1.32", "Prop3.22", "Prop1.13"],
"Prop3.33": ["Prop1.23", "Prop1.11", "Prop1.10", "Prop1.11", "Prop1.4", "Prop3.1", "Prop3.16", "Prop3.32", "Prop1.23", "Prop1.10", "Prop3.16", "Prop3.31", "Prop1.23", "Prop1.11", "Prop1.10", "Prop1.10", "Prop1.4", "Prop3.1", "Prop3.16", "Prop3.32", "Post.3"],
"Prop3.34": ["Prop1.23", "Prop1.32", "Prop3.1", "Prop1.11"],
"Prop3.35": ["Prop3.1", "Prop1.12", "Prop3.3", "Prop2.5", "Prop1.47", "Prop1.47", "Post.3"],
"Prop3.36": ["Prop3.18", "Prop2.6", "Prop1.47", "Prop1.12", "Prop3.18", "Prop3.3", "Prop2.6", "Prop1.47", "Prop1.47", "Prop1.47", "Prop3.1"],
"Prop3.37": ["Prop3.17", "Prop3.18", "Prop3.36", "Prop1.8", "Prop3.16", "Prop3.1"]
},
"book4": {
"D4.1": [],
"D4.2": [],
"D4.3": [],
"D4.4": [],
"D4.5": [],
"D4.6": [],
"D4.7": [],
"Prop4.1": ["Prop1.3", "Prop3.1", "Post.3"],
"Prop4.2": ["Prop1.23", "Prop3.32", "Prop1.32", "Prop3.1", "Prop1.11"],
"Prop4.3": ["Prop3.1", "Prop1.23", "Prop3.1", "Prop3.18", "Prop1.32", "Prop1.13", "Prop1.32", "Post.2", "Prop1.11"],
"Prop4.4": ["Prop1.9", "Prop1.12", "Prop1.26", "Prop3.16"],
"Prop4.5": ["Prop1.10", "Prop1.11", "Prop1.4", "Prop1.4", "Post.3", "Post.3", "Post.3"],
"Prop4.6": ["Prop1.4", "Prop3.31", "D1.22", "Prop3.1", "Prop1.11"],
"Prop4.7": ["Prop3.18", "Prop1.29", "Prop1.30", "Prop1.34", "Prop1.34", "Prop1.34", "D1.22", "Prop3.1", "Prop1.11"],
"Prop4.8": ["Prop1.10", "Prop1.31", "Prop1.34", "Prop3.16", "Post.3"],
"Prop4.9": ["Prop1.8", "Prop1.6", "Post.3"],
"Prop4.10": ["Prop2.11", "Prop4.1", "Prop4.5", "Prop3.37", "Prop3.32", "Prop1.32", "Prop1.5", "Prop1.6", "Prop1.5", "Post.3"],
"Prop4.11": ["Prop4.10", "Prop4.2", "Prop1.9", "Prop3.26", "Prop3.29", "Prop3.27"],
"Prop4.12": ["Prop3.11", "Prop3.1", "Prop3.1", "Prop3.18", "Prop1.47", "Prop1.8", "Prop1.8", "Prop3.27", "Prop1.26", "Prop1.11"],
"Prop4.13": ["Prop1.9", "Prop1.4", "Prop1.12", "Prop1.26", "Prop3.16", "Post.3"],
"Prop4.14": ["Prop1.9", "Prop1.6"],
"Prop4.15": ["Prop3.1", "Prop1.5", "Prop1.32", "Prop1.13", "Prop1.15", "Prop3.26", "Prop3.29", "Prop3.27", "Prop1.11", "Post.3", "Post.2"],
"Prop4.16": ["Prop4.2", "Prop4.11", "Prop3.30", "Prop4.1"]
},
"book5": {
"D5.1": [],
"D5.2": [],
"D5.3": [],
"D5.4": [],
"D5.5": [],
"D5.6": [],
"D5.7": [],
"D5.8": [],
"D5.9": [],
"D5.10": [],
"D5.11": [],
"D5.12": [],
"D5.13": [],
"D5.14": [],
"D5.15": [],
"D5.16": [],
"D5.17": [],
"D5.18": [],
"Prop5.1": [],
"Prop5.2": [],
"Prop5.3": ["Prop5.2"],
"Prop5.4": ["Prop5.3", "D5.5"],
"Prop5.5": ["Prop5.1"],
"Prop5.6": ["Prop5.2"],
"Prop5.7": ["D5.5"],
"Prop5.8": ["Prop5.1", "D5.4", "D5.7", "D5.5"],
"Prop5.9": ["Prop5.8", "Prop5.8"],
"Prop5.10": ["Prop5.7", "Prop5.8", "Prop5.7", "Prop5.8"],
"Prop5.11": ["D5.5"],
"Prop5.12": ["Prop5.1", "D5.5"],
"Prop5.13": ["D5.7", "D5.5", "D5.7"],
"Prop5.14": ["Prop5.8", "Prop5.10"],
"Prop5.15": ["Prop5.7", "Prop5.12"],
"Prop5.16": ["Prop5.15", "Prop5.11", "Prop5.15", "Prop5.11", "Prop5.14", "D5.5"],
"Prop5.17": ["Prop5.1", "Prop5.1", "Prop5.2", "D5.5"],
"Prop5.18": ["Prop5.17", "Prop5.11", "Prop5.14"],
"Prop5.19": ["Prop5.16", "Prop5.17", "Prop5.16"],
"Prop5.20": ["Prop5.8", "Prop5.7", "Prop5.13", "Prop5.10"],
"Prop5.21": ["Prop5.8", "Prop5.7", "Prop5.13", "Prop5.10"],
"Prop5.22": ["Prop5.4", "Prop5.20", "D5.5"],
"Prop5.23": ["Prop5.15", "Prop5.11", "Prop5.16", "Prop5.15", "Prop5.11", "Prop5.15", "Prop5.11", "Prop5.16", "Prop5.21", "D5.5"],
"Prop5.24": ["Prop5.7", "Prop5.22", "Prop5.18", "Prop5.22"],
"Prop5.25": ["Prop5.19"]
},
"book6": {
"D6.1": [],
"D6.2": [],
"D6.3": [],
"Prop6.1": ["Prop1.38", "Prop5.11", "Prop1.34", "Prop5.15", "D5.5", "Prop5.5", "Prop5.4"],
"Prop6.2": ["Prop1.38", "Prop5.7", "Prop6.1", "Prop5.11", "Prop6.1", "Prop5.11", "Prop5.9", "Prop1.39"],
"Prop6.3": ["Prop1.29", "Prop1.29", "Prop1.6", "Prop6.2", "Prop6.2", "Prop5.11", "Prop5.9", "Prop1.5", "Prop1.29"],
"Prop6.4": ["Prop1.17", "Prop1.28", "Prop1.28", "Prop1.34", "Prop6.2", "Prop5.16", "Prop6.2", "Prop6.2", "Prop5.22", "CN.5"],
"Prop6.5": ["Prop1.23", "Prop1.32", "Prop6.4", "Prop5.11", "Prop5.9", "Prop1.8", "Prop1.4"],
"Prop6.6": ["Prop1.23", "Prop1.32", "Prop6.4", "Prop5.11", "Prop5.9", "Prop1.4", "Prop1.32"],
"Prop6.7": ["Prop1.23", "Prop1.32", "Prop6.4", "Prop5.11", "Prop5.9", "Prop1.5", "Prop1.13", "Prop1.32", "Prop1.17", "Prop1.32"],
"Prop6.8": ["Prop1.12", "Prop1.32", "Prop6.4", "Prop1.32", "Prop6.4", "D6.1"],
"Prop6.9": ["Prop1.3", "Prop1.31", "Prop6.2"],
"Prop6.10": ["Prop1.31", "Prop1.34", "Prop6.2", "Prop6.2"],
"Prop6.11": ["Prop1.3", "Prop1.31", "Prop6.2"],
"Prop6.12": ["Prop1.3", "Prop1.31", "Prop6.2"],
"Prop6.13": ["Prop1.10", "Prop1.11", "Prop3.31", "Prop6.8"],
"Prop6.14": ["Prop1.14", "Prop5.7", "Prop6.1", "Prop6.1", "Prop5.11", "Prop5.9"],
"Prop6.15": ["Prop1.14", "Prop5.7", "Prop6.1", "Prop6.1", "Prop5.9"],
"Prop6.16": ["Prop1.11", "Prop1.3", "Prop6.14", "Prop6.14"],
"Prop6.17": ["Prop1.3", "Prop6.16", "Prop6.16"],
"Prop6.18": ["Prop1.23", "Prop1.32", "Prop6.4", "Prop1.23", "Prop1.32", "Prop6.4", "D6.1"],
"Prop6.19": ["Prop6.11", "Prop5.16", "Prop6.15", "Prop6.1", "D5.9"],
"Prop6.20": ["Prop6.6", "Prop6.4", "Prop5.22", "Prop6.6", "Prop1.32", "Prop6.4", "Prop5.22", "Prop6.1", "Prop5.12", "Prop5.16", "Prop5.12", "Prop6.14", "D6.1"],
"Prop6.21": ["D6.1", "D6.1"],
"Prop6.22": ["Prop6.11", "Prop5.22", "Prop5.19", "Prop6.12", "Prop5.11", "Prop5.9", "Prop6.18", "Prop6.21"],
"Prop6.23": ["Prop1.14", "Prop6.12", "Prop6.1", "Prop6.1", "Prop5.22"],
"Prop6.24": ["Prop6.2", "Prop6.2", "Prop5.18", "Prop5.16", "Prop1.29", "Prop1.32", "Prop6.4", "Prop5.22", "Prop6.21", "D6.1"],
"Prop6.25": ["Prop1.44", "Prop1.45", "Prop1.14", "Prop6.13", "Prop6.18", "Prop6.19", "Prop6.1", "Prop5.16"],
"Prop6.26": ["Prop1.31", "Prop6.24", "Prop5.9"],
"Prop6.27": ["Prop1.10", "Prop6.26", "Prop1.43", "Prop6.1"],
"Prop6.28": ["Prop1.10", "Prop6.18", "Prop6.1", "Prop6.25", "Prop6.21", "Prop1.3", "Prop6.21", "Prop6.26", "Prop1.43", "Prop6.1", "Prop6.24"],
"Prop6.29": ["Prop1.10", "Prop6.18", "Prop6.25", "Prop1.3", "Prop6.21", "Prop6.26", "Prop6.1", "Prop1.43", "Prop6.24"],
"Prop6.30": ["Prop1.46", "Prop6.29", "Prop6.14", "Prop5.14"],
"Prop6.31": ["Prop1.12", "Prop6.8", "Prop6.19", "Prop5.24", "Prop5.9", "D6.1"],
"Prop6.32": ["Prop1.29", "Prop6.6", "Prop1.32", "Prop1.14"],
"Prop6.33": ["Prop3.27", "Prop3.27", "Prop5.15", "Prop3.20", "D5.5"]
},
"book7": {
"D7.1": [],
"D7.2": [],
"D7.3": [],
"D7.4": [],
"D7.5": [],
"D7.6": [],
"D7.7": [],
"D7.8": [],
"D7.9": [],
"D7.10": [],
"D7.11": [],
"D7.12": [],
"D7.13": [],
"D7.14": [],
"D7.15": [],
"D7.16": [],
"D7.17": [],
"D7.18": [],
"D7.19": [],
"D7.20": [],
"D7.21": [],
"D7.22": [],
"Prop7.1": [],
"Prop7.2": ["Prop7.1"],
"Prop7.3": ["Prop7.2", "Prop7.2", "Prop7.2", "Prop7.2", "Prop7.2", "Prop7.2"],
"Prop7.4": ["Prop7.2"],
"Prop7.5": [],
"Prop7.6": ["Prop7.5"],
"Prop7.7": ["Prop7.5"],
"Prop7.8": ["Prop7.5", "Prop7.5"],
"Prop7.9": ["Prop7.5", "Prop7.6"],
"Prop7.10": ["Prop7.9", "Prop7.9", "Prop7.5", "Prop7.6"],
"Prop7.11": ["Prop7.7", "Prop7.8", "D7.20"],
"Prop7.12": ["Prop7.5", "Prop7.6", "D7.20"],
"Prop7.13": ["Prop7.9", "Prop7.10", "D7.20"],
"Prop7.14": ["Prop7.13", "Prop7.13", "Prop7.13"],
"Prop7.15": ["Prop7.12", "D7.20"],
"Prop7.16": ["Prop7.15", "D7.15"],
"Prop7.17": ["Prop7.13", "D7.15", "D7.20"],
"Prop7.18": ["Prop7.16", "Prop7.17"],
"Prop7.19": ["Prop7.17", "Prop7.18", "Prop5.9", "Prop5.7", "Prop7.17", "Prop7.18"],
"Prop7.20": ["Prop7.13", "Prop7.12", "Prop7.4", "Prop7.13", "D7.20"],
"Prop7.21": ["Prop7.20", "Prop7.16", "Prop7.16"],
"Prop7.22": ["Prop7.17", "D7.15"],
"Prop7.23": [],
"Prop7.24": ["Prop7.23", "Prop7.16", "Prop6.15", "Prop7.21", "Prop7.20", "D7.15"],
"Prop7.25": ["Prop7.24"],
"Prop7.26": ["Prop7.24", "Prop7.24"],
"Prop7.27": ["Prop7.25", "Prop7.25", "Prop7.25", "Prop7.26"],
"Prop7.28": [],
"Prop7.29": [],
"Prop7.30": ["Prop7.29", "Prop7.19", "Prop7.21", "Prop7.20", "D7.15"],
"Prop7.31": [],
"Prop7.32": ["Prop7.31"],
"Prop7.33": ["Prop7.22", "Prop7.3", "Prop7.15", "Prop7.15", "Prop7.19", "Prop5.13", "D7.20"],
"Prop7.34": ["Prop7.16", "Prop7.19", "Prop7.21", "Prop7.20", "Prop7.17", "Prop7.33", "Prop7.19", "Prop7.19", "Prop7.20", "Prop7.17"],
"Prop7.35": [],
"Prop7.36": ["Prop7.34", "Prop7.35", "Prop7.34", "Prop7.35", "Prop7.35"],
"Prop7.37": ["Prop7.15"],
"Prop7.38": ["Prop7.15"],
"Prop7.39": ["Prop7.36", "Prop7.37", "Prop7.38"]
},
"book8": {
"Prop8.1": ["Prop7.14", "Prop7.21", "Prop7.20"],
"Prop8.2": ["Prop7.17", "Prop7.18", "Prop7.17", "Prop7.17", "Prop7.22", "Prop7.27", "Prop8.1"],
"Prop8.3": ["Prop7.33", "Prop8.2", "Prop7.22", "Prop8.2", "Prop7.27"],
"Prop8.4": ["Prop7.34", "Prop7.20", "Prop7.20", "Prop7.35", "Prop7.34", "Prop7.13", "Prop7.13", "Prop7.20", "Prop7.35", "Prop7.20", "Prop7.35", "D7.20"],
"Prop8.5": ["Prop8.4", "Prop7.17", "Prop7.16", "Prop7.17", "Prop7.14"],
"Prop8.6": ["Prop7.33", "Prop7.14", "Prop8.3", "D7.20"],
"Prop8.7": ["Prop8.6"],
"Prop8.8": ["Prop7.33", "Prop8.3", "Prop7.14", "Prop7.21", "Prop7.20", "D7.20"],
"Prop8.9": ["Prop7.33", "Prop8.2", "Prop8.2", "Prop8.2", "Prop7.20", "D7.15", "D7.20"],
"Prop8.10": ["Prop7.17", "Prop7.18", "Prop7.18", "D7.20"],
"Prop8.11": ["Prop7.17", "Prop7.18", "D5.9"],
"Prop8.12": ["Prop7.17", "Prop7.18", "Prop7.17", "Prop7.18", "Prop7.17", "D5.10"],
"Prop8.13": ["Prop7.14"],
"Prop8.14": ["Prop8.11", "Prop8.7", "D7.20"],
"Prop8.15": ["Prop8.12", "Prop8.7", "D7.20"],
"Prop8.16": ["Prop8.14", "Prop8.14"],
"Prop8.17": ["Prop8.15", "Prop8.15"],
"Prop8.18": ["Prop7.13", "Prop7.17", "Prop7.17", "Prop5.9", "D7.21"],
"Prop8.19": ["Prop8.18", "Prop7.17", "Prop7.13", "Prop7.17", "Prop7.18", "Prop7.17", "D7.21", "D5.10"],
"Prop8.20": ["Prop7.33", "Prop7.20", "Prop7.20", "Prop7.17", "Prop7.17", "Prop7.13", "D7.15", "D7.21"],
"Prop8.21": ["Prop8.2", "Prop8.3", "Prop8.20", "Prop7.14", "Prop7.21", "Prop7.20", "Prop7.20", "Prop7.18", "D7.15", "D7.21"],
"Prop8.22": ["Prop8.20", "D7.21"],
"Prop8.23": ["Prop8.21", "D7.21"],
"Prop8.24": ["Prop8.18", "Prop8.8", "Prop8.22"],
"Prop8.25": ["Prop8.19", "Prop8.8", "Prop8.23"],
"Prop8.26": ["Prop8.18", "Prop8.2", "Prop8.2"],
"Prop8.27": ["Prop8.19", "Prop8.2", "Prop8.2"]
},
"book9": {
"Prop9.1": ["Prop7.17", "Prop8.18", "Prop8.8", "Prop8.22"],
"Prop9.2": ["Prop7.17", "Prop8.18", "Prop8.8", "Prop8.20"],
"Prop9.3": ["Prop8.8", "Prop8.23", "D7.15", "D7.20"],
"Prop9.4": ["Prop9.3", "Prop7.17", "Prop8.19", "Prop8.8", "Prop8.23"],
"Prop9.5": ["Prop9.3", "Prop7.17", "Prop8.19", "Prop8.8", "Prop8.23"],
"Prop9.6": ["Prop8.19", "Prop8.8", "Prop8.23"],
"Prop9.7": ["D7.15"],
"Prop9.8": ["Prop8.22", "Prop8.23", "D7.20", "D7.15"],
"Prop9.9": ["Prop9.8", "Prop8.22", "Prop8.22", "Prop9.8", "Prop9.3", "Prop8.23"],
"Prop9.10": ["Prop9.8", "Prop8.26", "Prop9.8", "Prop7.13", "Prop8.25", "Prop9.6"],
"Prop9.11": ["Prop7.15"],
"Prop9.12": ["Prop7.29", "Prop9.11", "Prop7.19", "Prop7.21", "Prop7.20", "Prop9.11", "Prop7.19", "Prop7.21", "Prop7.20", "Prop9.8", "Prop7.19", "Prop7.21", "Prop7.20", "D7.14", "D7.11"],
"Prop9.13": ["Prop9.12", "Prop7.31", "Prop9.12", "Prop9.11", "Prop9.12", "Prop7.31", "Prop9.12", "Prop9.11", "Prop7.19", "Prop9.11", "Prop7.19", "Prop9.8", "Prop7.19"],
"Prop9.14": ["Prop7.30"],
"Prop9.15": ["Prop8.2", "Prop8.2", "Prop7.22", "Prop7.28", "Prop7.24", "Prop7.25", "Prop2.3", "Prop7.25", "Prop2.4"],
"Prop9.16": ["Prop7.21", "Prop7.20"],
"Prop9.17": ["Prop7.13", "Prop7.21", "Prop7.20", "D7.20"],
"Prop9.18": ["Prop9.16", "Prop7.19", "Prop7.19"],
"Prop9.19": ["Prop9.17", "Prop7.14", "Prop7.21", "Prop7.20", "Prop7.19"],
"Prop9.20": ["Prop7.36", "Prop7.31", "Prop7.28"],
"Prop9.21": ["D7.6"],
"Prop9.22": ["Prop9.21", "Prop9.21", "D7.7"],
"Prop9.23": ["Prop9.22", "Prop9.21", "D7.7"],
"Prop9.24": ["D7.6"],
"Prop9.25": ["Prop9.24", "D7.7"],
"Prop9.26": ["Prop9.24", "D7.7"],
"Prop9.27": ["Prop9.24", "D7.7"],
"Prop9.28": ["Prop9.21", "D7.15"],
"Prop9.29": ["Prop9.23", "D7.15"],
"Prop9.30": ["Prop9.23"],
"Prop9.31": ["Prop9.30"],
"Prop9.32": ["Prop9.13", "D7.8"],
"Prop9.33": ["D7.9", "D7.8"],
"Prop9.34": ["D7.8", "D7.9"],
"Prop9.35": ["Prop7.13", "Prop7.11", "Prop7.13", "Prop7.12"],
"Prop9.36": ["Prop7.14", "Prop7.19", "Prop9.35", "Prop7.19", "Prop9.13", "Prop7.29", "Prop7.21", "Prop7.20", "Prop7.14", "Prop7.19", "Prop7.19", "D7.20", "D7.22"]
},
"book10": {
"D10.1": [],
"D10.2": [],
"D10.3": [],
"D10.4": [],
"D10.5": [],
"D10.6": [],
"D10.7": [],
"D10.8": [],
"D10.9": [],
"D10.10": [],
"D10.11": [],
"D10.12": [],
"D10.13": [],
"D10.14": [],
"D10.15": [],
"D10.16": [],
"Prop10.1": ["D5.4"],
"Prop10.2": ["D10.1", "Prop10.1"],
"Prop10.3": ["Prop10.2"],
"Prop10.4": ["Prop10.3", "D10.1", "Prop10.1"],
"Prop10.5": ["Prop5.7", "Prop5.22", "D7.20"],
"Prop10.6": ["Prop5.7", "Prop6.19", "Prop5.22", "Prop5.11", "Prop5.9", "D7.20", "D7.20", "D10.1"],
"Prop10.7": ["Prop10.6"],
"Prop10.8": ["Prop10.5"],
"Prop10.9": ["Prop6.20", "Prop10.5", "Prop8.11", "Prop10.6"],
"Prop10.10": ["Prop10.6", "Prop10.9", "Prop6.13", "D5.9"],
"Prop10.11": ["Prop10.5", "Prop10.6", "Prop10.7", "Prop10.8"],
"Prop10.12": ["Prop10.5", "Prop8.4", "Prop5.11", "Prop5.22", "Prop10.6"],
"Prop10.13": ["Prop10.12", "Prop4.1", "Prop3.31", "Prop1.47"],
"Prop10.14": ["Prop6.22", "Prop5.17", "Prop5.22", "Prop10.11", "Prop5.7"],
"Prop10.15": ["D10.1"],
"Prop10.16": ["D10.1"],
"Prop10.17": ["Prop1.10", "Prop1.3", "Prop2.5", "Prop10.15", "Prop10.6", "Prop10.12"],
"Prop10.18": ["Prop10.16", "Prop10.6", "Prop10.13"],
"Prop10.19": ["Prop6.1", "Prop10.11", "Prop10.4", "D10.4"],
"Prop10.20": ["Prop6.1", "Prop10.11", "D10.4", "D10.3"],
"Prop10.21": ["Prop6.1", "Prop10.11", "D10.4"],
"Prop10.22": ["Prop10.21", "Prop6.14", "Prop6.22", "Prop10.11", "Prop10.13", "D10.4"],
"Prop10.23": ["Prop10.22", "Prop6.1", "Prop10.11", "Prop10.13", "Prop10.21", "D10.3"],
"Prop10.24": ["Prop6.1", "Prop10.11", "Prop10.23"],
"Prop10.25": ["Prop10.22", "Prop6.1", "Prop10.11", "Prop10.19", "Prop5.11", "Prop6.17", "Prop10.21"],
"Prop10.26": ["Prop10.22", "Prop10.20", "Prop10.13", "Prop10.11", "Prop10.6", "Prop2.4", "Prop10.16", "D10.4"],
"Prop10.27": ["Prop6.13", "Prop6.12", "Prop6.17", "Prop10.21", "Prop10.11", "Prop10.23", "Prop5.16", "Prop5.11"],
"Prop10.28": ["Prop6.13", "Prop6.12", "Prop6.17", "Prop10.21", "Prop10.11", "Prop10.23", "Prop5.16", "Prop6.16", "Prop9.24", "Prop9.26", "Prop2.6", "Prop9.1", "Prop2.6"],
"Prop10.29": ["Prop10.28", "Prop10.6", "Prop5.19", "Prop10.9", "Prop3.31", "Prop1.47", "D10.4"],
"Prop10.30": ["Prop3.31", "Prop1.47", "Prop10.9", "Prop10.28", "Prop10.6", "Prop5.19", "Prop3.31"],
"Prop10.31": ["Prop10.29", "Prop10.21", "Prop10.11", "Prop10.23", "Prop10.14", "Prop10.30"],
"Prop10.32": ["Prop10.29", "Prop10.21", "Prop10.11", "Prop10.23", "Prop10.14", "Prop10.30", "Prop6.8", "Prop6.4", "Prop6.17", "Prop6.16"],
"Prop10.33": ["Prop10.30", "Prop6.28", "Prop10.18", "Prop10.32", "Prop10.11", "Prop1.47", "Prop10.6", "Prop10.21", "Prop10.23"],
"Prop10.34": ["Prop10.31", "Prop6.28", "Prop10.18", "Prop10.11", "Prop10.32", "Prop3.31", "Prop1.47", "Prop10.32", "Prop10.6", "D10.4"],
"Prop10.35": ["Prop10.32", "Prop10.18", "Prop10.11", "Prop3.31", "Prop1.47", "Prop10.13"],
"Prop10.36": ["Prop10.11", "Prop10.6", "Prop10.15", "Prop10.13", "Prop2.4", "Prop10.16", "D10.4"],
"Prop10.37": ["Prop2.4", "Prop10.16", "D10.4", "Prop10.36"],
"Prop10.38": ["Prop10.28", "Prop1.44", "Prop2.4", "Prop10.22", "Prop10.21", "Prop10.11", "Prop10.15", "Prop10.6", "Prop10.13", "Prop6.1", "Prop10.36", "Prop10.20", "D10.4"],
"Prop10.39": ["Prop10.33", "Prop10.6", "Prop10.23", "Prop2.4", "Prop10.16", "D10.4"],
"Prop10.40": ["Prop10.34", "Prop10.16", "D10.4"],
"Prop10.41": ["Prop10.35", "Prop2.4", "Prop10.22", "Prop6.1", "Prop10.11", "Prop10.36", "D10.4", "Prop2.5"],
"Prop10.42": ["Prop10.36", "Prop2.4", "Prop10.21", "Prop10.26"],
"Prop10.43": ["Prop10.37", "Prop10.26", "Prop10.41"],
"Prop10.44": ["Prop10.38", "Prop10.41", "Prop2.4", "Prop10.22", "Prop10.21", "Prop10.15", "Prop10.6", "Prop10.13", "Prop6.1", "Prop10.11", "Prop10.36", "Prop10.42"],
"Prop10.45": ["Prop10.39", "Prop10.26"],
"Prop10.46": ["Prop10.40", "Prop10.26"],
"Prop10.47": ["Prop10.41", "Prop2.4", "Prop10.22", "Prop6.1", "Prop10.11", "Prop10.36", "Prop10.42"],
"Prop10.48": ["Prop10.28", "Prop10.6", "Prop10.9", "Prop10.36", "Prop5.14", "Prop5.19", "D10.3", "D10.5"],
"Prop10.49": ["Prop10.28", "Prop10.6", "Prop10.9", "Prop10.36", "Prop5.7", "Prop5.14", "Prop5.19", "D10.6"],
"Prop10.50": ["Prop10.6", "Prop10.9", "Prop10.36", "Prop5.22", "Prop5.14", "Prop5.19", "D10.7"],
"Prop10.51": ["Prop10.28", "Prop10.6", "Prop10.9", "Prop10.36", "Prop5.14", "Prop5.19", "D10.8"],
"Prop10.52": ["Prop10.38", "Prop10.6", "Prop10.9", "Prop10.36", "Prop5.7", "Prop5.14", "Prop5.19"],
"Prop10.53": ["Prop1.34", "Prop6.1", "Prop5.18", "Prop5.11", "Prop10.28", "Prop10.6", "Prop10.9", "Prop10.36", "Prop5.22", "Prop5.14", "Prop5.19", "D10.10"],
"Prop10.54": ["Prop10.17", "Prop2.14", "Prop10.53", "Prop6.17", "Prop6.1", "Prop1.43", "Prop10.15", "Prop10.12", "Prop10.19", "Prop10.13", "Prop10.11", "Prop10.36", "D10.5"],
"Prop10.55": ["Prop10.17", "Prop10.53", "Prop10.13", "Prop10.15", "Prop10.21", "Prop6.1", "Prop10.11", "Prop10.12", "Prop10.19", "Prop10.37", "D10.6"],
"Prop10.56": ["Prop10.13", "Prop10.21", "Prop10.38", "D10.7"],
"Prop10.57": ["Prop10.18", "Prop6.1", "Prop10.11", "Prop10.19", "Prop10.13", "Prop10.21", "Prop10.39", "D10.8"],
"Prop10.58": ["Prop10.18", "Prop6.1", "Prop10.11", "Prop10.13", "Prop10.21", "Prop10.12", "Prop10.19", "Prop10.40", "D10.9"],
"Prop10.59": ["Prop10.21", "Prop10.13", "Prop10.21", "Prop6.1", "Prop10.11", "Prop10.41", "D10.10", "Prop2.5", "Prop2.9"],
"Prop10.60": ["Prop2.4", "Prop10.36", "Prop10.15", "Prop10.20", "Prop10.21", "Prop10.22", "Prop10.13", "Prop10.53", "Prop6.1", "Prop6.17", "Prop10.11", "Prop10.59", "Prop5.14", "Prop10.17", "D10.5"],
"Prop10.61": ["Prop10.37", "Prop10.21", "Prop10.15", "Prop10.23", "Prop10.22", "Prop10.20", "Prop10.36", "Prop10.59", "Prop6.1", "Prop10.11", "Prop10.17", "D10.6"],
"Prop10.62": ["Prop10.38", "Prop10.15", "Prop10.23", "Prop10.22", "Prop10.21", "Prop10.11", "Prop10.12", "Prop10.13", "Prop6.1", "Prop10.36", "Prop10.17", "D10.7"],
"Prop10.63": ["Prop10.39", "Prop10.20", "Prop10.22", "Prop10.13", "Prop10.36", "Prop6.1", "Prop10.11", "Prop10.18", "D10.8"],
"Prop10.64": ["Prop10.40", "Prop10.22", "Prop10.20", "Prop10.13", "Prop10.36", "Prop10.18", "D10.9"],
"Prop10.65": ["Prop10.41", "Prop10.22", "Prop6.1", "Prop10.11", "Prop10.36", "Prop10.18", "D10.10"],
"Prop10.66": ["Prop10.36", "Prop6.12", "Prop6.16", "Prop5.19", "Prop10.11", "Prop5.11", "Prop5.16", "Prop10.14", "Prop10.12", "Prop10.13", "D10.5", "D10.6", "D10.7", "D10.8", "D10.9", "D10.10", "Prop10.8"],
"Prop10.67": ["Prop10.37", "Prop10.38", "Prop6.12", "Prop5.19", "Prop6.16", "Prop10.11", "Prop10.23", "Prop10.21", "Prop5.16", "Prop10.23"],
"Prop10.68": ["Prop10.39", "Prop5.11", "Prop10.11", "Prop5.16", "Prop5.18", "Prop6.20", "Prop10.23", "Prop10.13"],
"Prop10.69": ["Prop10.40"],
"Prop10.70": ["Prop10.41"],
"Prop10.71": ["Prop10.20", "Prop10.22", "Prop6.1", "Prop10.11", "Prop10.36", "Prop5.14", "Prop10.54", "Prop10.57", "Prop10.55", "Prop10.58", "D10.5", "D10.8", "D10.6", "D10.9"],
"Prop10.72": ["Prop10.22", "Prop6.1", "Prop10.11", "Prop10.36", "Prop10.56", "Prop10.59", "Prop10.22", "Prop10.60", "Prop10.61", "Prop10.62", "Prop10.63", "Prop10.64", "Prop10.65", "D10.7", "D10.10"],
"Prop10.73": ["Prop10.21", "Prop10.11", "Prop10.15", "Prop10.6", "Prop2.7", "Prop10.13", "Prop10.16", "D10.4"],
"Prop10.74": ["Prop10.27", "Prop2.7", "Prop10.16", "D10.4"],
"Prop10.75": ["Prop10.28", "Prop2.7", "Prop10.15", "Prop10.23", "Prop10.22", "Prop10.21", "Prop10.6", "Prop10.13", "Prop6.1", "Prop10.11", "Prop10.73", "Prop10.20", "D10.4"],
"Prop10.76": ["Prop10.33", "Prop2.7", "Prop10.16", "D10.4"],
"Prop10.77": ["Prop10.34", "Prop2.7", "Prop10.16", "D10.4"],
"Prop10.78": ["Prop10.35", "Prop2.7", "Prop10.22", "Prop6.1", "Prop10.11", "Prop10.73", "Prop10.20"],
"Prop10.79": ["Prop10.73", "Prop2.7", "Prop10.21", "Prop10.26"],
"Prop10.80": ["Prop10.74", "Prop2.7", "Prop10.15", "Prop10.23", "Prop10.26"],
"Prop10.81": ["Prop10.75", "Prop2.7", "Prop10.15", "Prop10.23", "Prop10.22", "Prop10.21", "Prop10.11", "Prop10.6", "Prop10.13", "Prop6.1", "Prop10.73", "Prop10.79"],
"Prop10.82": ["Prop10.76", "Prop2.7", "Prop10.26"],
"Prop10.83": ["Prop10.77", "Prop10.26"],
"Prop10.84": ["Prop10.78", "Prop2.7", "Prop10.22", "Prop6.1", "Prop10.11", "Prop10.73", "Prop10.79"],
"Prop10.85": ["Prop10.28", "Prop10.6", "Prop10.9", "Prop10.73", "Prop10.13", "Prop5.19", "D10.11"],
"Prop10.86": ["Prop10.28", "Prop10.6", "Prop10.9", "Prop10.73", "Prop10.13", "Prop5.19", "D10.12"],
"Prop10.87": ["Prop10.6", "Prop10.9", "Prop10.73", "Prop5.22", "Prop10.13", "Prop5.19", "D10.13"],
"Prop10.88": ["Prop10.6", "Prop10.9", "Prop10.73", "Prop10.13", "Prop5.19", "D10.14"],
"Prop10.89": ["Prop10.6", "Prop10.9", "Prop10.73", "Prop10.13", "Prop5.19", "D10.15"],
"Prop10.90": ["Prop10.6", "Prop10.9", "Prop10.73", "Prop5.22", "Prop10.13", "Prop5.19", "D10.16"],
"Prop10.91": ["Prop10.73", "Prop10.17", "Prop10.15", "Prop10.12", "Prop10.19", "Prop10.13", "Prop10.21", "Prop6.26", "Prop6.17", "Prop6.1", "Prop5.11", "Prop10.53", "Prop1.43", "Prop10.11", "D10.11"],
"Prop10.92": ["Prop10.73", "Prop10.17", "Prop10.15", "Prop10.13", "Prop10.21", "Prop10.19", "Prop6.26", "Prop6.1", "Prop5.11", "Prop10.53", "Prop1.43", "Prop10.11", "Prop10.74", "D10.12"],
"Prop10.93": ["Prop10.73", "Prop10.17", "Prop6.1", "Prop10.11", "Prop10.15", "Prop10.13", "Prop10.21", "Prop6.26", "Prop6.17", "Prop5.11", "Prop10.53", "Prop1.43", "Prop10.75", "D10.13"],
"Prop10.94": ["Prop10.73", "Prop10.18", "Prop10.19", "Prop10.21", "Prop6.1", "Prop10.11", "Prop6.26", "Prop6.17", "Prop6.1", "Prop5.11", "Prop10.13", "Prop1.43", "Prop10.76", "D10.14"],
"Prop10.95": ["Prop10.73", "Prop10.18", "Prop10.21", "Prop10.19", "Prop6.26", "Prop10.77", "D10.15"],
"Prop10.96": ["Prop10.73", "Prop10.18", "Prop6.1", "Prop10.11", "Prop10.21", "Prop6.26", "Prop10.78", "D10.16"],
"Prop10.97": ["Prop10.73", "Prop2.7", "Prop10.20", "Prop10.22", "Prop6.1", "Prop10.11", "Prop10.21", "Prop6.17", "Prop10.17", "D10.15"],
"Prop10.98": ["Prop10.74", "Prop10.15", "Prop10.23", "Prop10.22", "Prop2.7", "Prop10.20", "Prop6.1", "Prop10.11", "Prop10.21", "Prop10.73", "Prop5.11", "Prop6.17", "Prop10.17", "D10.16"],
"Prop10.99": ["Prop10.75", "Prop10.15", "Prop10.23", "Prop10.22", "Prop2.7", "Prop6.1", "Prop10.11", "Prop10.21", "Prop10.13", "Prop10.73", "Prop5.11", "Prop6.17", "Prop10.17", "D10.13"],
"Prop10.100": ["Prop10.76", "Prop10.20", "Prop2.7", "Prop10.22", "Prop6.1", "Prop10.11", "Prop10.73", "Prop10.21", "Prop5.11", "Prop6.17", "Prop10.18", "D10.14"],
"Prop10.101": ["Prop10.77", "Prop10.22", "Prop2.7", "Prop10.20", "Prop6.1", "Prop10.11", "Prop10.73", "Prop10.18", "D10.15"],
"Prop10.102": ["Prop10.78", "Prop10.22", "Prop2.7", "Prop6.1", "Prop10.11", "Prop10.73", "Prop10.21", "Prop10.18", "D10.16"],
"Prop10.103": ["Prop10.73", "Prop6.12", "Prop5.12", "Prop10.11", "Prop10.13", "Prop5.16", "Prop10.14", "Prop10.12", "Prop10.15", "Prop10.16", "D10.11", "D10.12", "D10.13", "D10.14", "D10.15", "D10.16"],
"Prop10.104": ["Prop10.74", "Prop10.75", "Prop6.12", "Prop5.12", "Prop10.11", "Prop10.23", "Prop10.13", "Prop10.74", "Prop10.75", "Prop5.12", "Prop5.16", "Prop10.21", "Prop10.11", "D10.4"],
"Prop10.105": ["Prop10.76", "Prop10.13", "Prop5.12", "Prop5.16", "Prop6.22", "Prop5.18", "Prop10.104", "Prop10.11", "D10.4", "Prop10.21", "Prop10.23"],
"Prop10.106": ["Prop10.77"],
"Prop10.107": ["Prop10.78"],
"Prop10.108": ["Prop10.20", "Prop10.22", "Prop10.13", "Prop10.73", "Prop10.91", "Prop10.14", "Prop10.94", "D10.1"],
"Prop10.109": ["Prop10.13", "Prop10.73", "Prop10.92", "Prop10.95", "D10.12", "D10.15"],
"Prop10.110": ["Prop10.22", "Prop6.1", "Prop10.11", "Prop10.73", "Prop10.93", "Prop10.96", "D10.3", "D10.16"],
"Prop10.111": ["Prop10.98", "Prop10.102", "Prop10.97", "Prop10.60", "Prop10.12", "Prop10.15", "Prop10.13", "Prop10.73", "D10.10", "D10.5", "Prop10.22"],
"Prop10.112": ["Prop6.16", "Prop5.16", "Prop5.14", "Prop5.17", "Prop5.12", "Prop5.11", "Prop10.36", "Prop6.22", "Prop10.11", "Prop10.15", "Prop10.20", "Prop10.12", "Prop10.73", "D5.9", "D10.3", "Prop10.10", "Prop10.14", "D10.5", "D10.6", "D10.7", "D10.8", "D10.9", "D10.10"],
"Prop10.113": ["Prop10.73", "Prop10.20", "Prop6.16", "Prop5.19", "Prop10.11", "Prop5.11", "Prop10.15", "Prop10.12", "Prop5.16", "Prop10.13", "Prop10.36", "Prop10.14", "D5.9", "D10.3", "D10.5", "D10.6", "D10.7", "D10.8", "D10.9", "D10.10", "Prop5.14", "Prop10.5", "Prop10.6", "Prop10.7", "Prop10.8", "Prop10.9", "Prop10.10"],
"Prop10.114": ["Prop10.112", "Prop5.16", "Prop5.19", "Prop10.12", "Prop10.11", "Prop6.1"],
"Prop10.115": ["Prop10.20", "D10.4"]
},
"book11": {
"D11.1": [],
"D11.2": [],
"D11.3": [],
"D11.4": [],
"D11.5": [],
"D11.6": [],
"D11.7": [],
"D11.8": [],
"D11.9": [],
"D11.10": [],
"D11.11": [],
"D11.12": [],
"D11.13": [],
"D11.14": [],
"D11.15": [],
"D11.16": [],
"D11.17": [],
"D11.18": [],
"D11.19": [],
"D11.20": [],
"D11.21": [],
"D11.22": [],
"D11.23": [],
"D11.24": [],
"D11.25": [],
"D11.26": [],
"D11.27": [],
"D11.28": [],
"Prop11.1": [],
"Prop11.2": ["Prop11.1"],
"Prop11.3": [],
"Prop11.4": ["Prop1.15", "Prop1.4", "Prop1.26", "Prop1.8", "D1.10", "D11.3"],
"Prop11.5": ["Prop11.4", "D11.3"],
"Prop11.6": ["Prop1.4", "Prop1.8", "Prop11.5", "Prop11.2", "Prop1.28", "D11.3"],
"Prop11.7": ["Prop11.3"],
"Prop11.8": ["Prop11.7", "Prop1.29", "Prop1.4", "Prop1.8", "Prop11.4", "Prop11.2", "D11.3"],
"Prop11.9": ["Prop11.4", "Prop11.8", "Prop11.6"],
"Prop11.10": ["Prop1.33", "Prop11.9", "Prop1.8"],
"Prop11.11": ["Prop1.12", "Prop1.11", "Prop1.31", "Prop11.4", "Prop11.8", "D11.3"],
"Prop11.12": ["Prop11.11", "Prop1.31", "Prop11.8"],
"Prop11.13": ["Prop11.3", "D11.3"],
"Prop11.14": ["Prop11.3", "Prop1.17", "D11.3", "D11.8"],
"Prop11.15": ["Prop11.11", "Prop1.31", "Prop11.9", "Prop1.29", "Prop11.4", "Prop11.14", "D11.3"],
"Prop11.16": ["Prop11.1", "D1.23"],
"Prop11.17": ["Prop11.16", "Prop6.2", "Prop5.11"],
"Prop11.18": ["Prop1.11", "Prop1.28", "Prop11.8", "D11.3", "D11.4"],
"Prop11.19": ["Prop11.13", "D11.4"],
"Prop11.20": ["Prop1.4", "Prop1.20", "Prop1.25"],
"Prop11.21": ["Prop11.20", "Prop1.32"],
"Prop11.22": ["Prop1.4", "Prop1.24", "Prop1.20"],
"Prop11.23": ["Prop11.21", "Prop11.22", "Prop4.5", "Prop1.8", "Prop6.2", "Prop1.29", "Prop6.4", "Prop5.16", "Prop5.14", "Prop1.25", "Prop11.12", "Prop1.4", "Prop1.47", "Prop1.8", "Prop4.1", "Prop3.31"],
"Prop11.24": ["Prop11.16", "Prop11.10", "Prop1.34", "Prop1.4"],
"Prop11.25": ["Prop11.24", "D11.10", "D5.5"],
"Prop11.26": ["Prop11.11", "Prop1.23", "Prop11.12", "Prop1.4", "Prop1.8", "D11.3"],
"Prop11.27": ["Prop11.26", "Prop6.12", "Prop5.22", "D11.9"],
"Prop11.28": ["Prop1.34", "Prop11.24", "D11.10"],
"Prop11.29": ["Prop1.34", "Prop1.4", "Prop1.8", "Prop1.36", "Prop11.24"],
"Prop11.30": ["Prop11.29"],
"Prop11.31": ["Prop1.23", "Prop6.14", "Prop11.24", "Prop11.29", "Prop1.35", "Prop5.7", "Prop11.25", "Prop5.11", "Prop5.9", "Prop11.30", "D11.10"],
"Prop11.32": ["Prop1.45", "Prop11.31", "Prop11.25"],
"Prop11.33": ["Prop11.24", "Prop6.1", "Prop11.32", "D11.10", "D5.10", "D6.1", "D11.9"],
"Prop11.34": ["Prop11.32", "Prop5.7", "Prop11.25", "Prop6.1", "Prop11.31", "Prop5.9", "Prop11.29", "Prop11.30"],
"Prop11.35": ["Prop11.8", "Prop1.47", "Prop1.48", "Prop1.26", "Prop1.4", "Prop1.8"],
"Prop11.36": ["Prop11.23", "Prop6.14", "Prop11.35", "Prop11.31"],
"Prop11.37": ["Prop11.33"],
"Prop11.38": ["Prop1.29", "Prop1.4", "Prop1.14", "Prop11.9", "Prop1.33", "Prop1.15", "Prop1.26"],
"Prop11.39": ["Prop1.34", "Prop11.31", "Prop11.28"]
},
"book12": {
"Prop12.1": ["Prop6.6", "Prop3.27", "Prop3.31", "Prop1.32", "Prop6.4", "Prop6.20", "D6.1"],
"Prop12.2": ["Prop4.6", "Prop1.47", "Prop10.1", "Prop12.1", "Prop5.11", "Prop5.16", "Prop5.7", "Prop5.14"],
"Prop12.3": ["Prop6.2", "Prop1.34", "Prop1.29", "Prop1.4", "Prop11.10", "Prop6.6", "Prop1.41", "Prop11.39", "D11.10", "D6.1", "D11.9"],
"Prop12.4": ["Prop12.3", "Prop6.22", "Prop5.16", "Prop11.39", "Prop5.12", "Prop11.17", "Prop11.32", "Prop11.28"],
"Prop12.5": ["Prop12.3", "Prop10.1", "Prop12.4", "Prop5.11", "Prop5.16", "Prop5.14", "Prop5.7", "Prop12.2"],
"Prop12.6": ["Prop12.5", "Prop5.18", "Prop5.22"],
"Prop12.7": ["Prop12.5", "Prop1.34"],
"Prop12.8": ["Prop11.24", "Prop11.33", "Prop11.28", "Prop12.7", "D11.9", "Prop6.20", "Prop5.12"],
"Prop12.9": ["Prop11.34", "Prop1.34", "Prop5.11"],
"Prop12.10": ["Prop4.6", "Prop12.2", "Prop4.7", "Prop11.32", "Prop12.2", "Prop10.1", "Prop12.7"],
"Prop12.11": ["Prop4.6", "Prop12.2", "Prop4.7", "Prop12.6", "Prop12.10", "Prop10.1", "Prop6.18", "Prop12.1", "Prop5.11", "Prop5.16", "Prop5.14", "Prop12.10", "Prop5.7", "Prop12.2"],
"Prop12.12": ["Prop4.6", "Prop12.2", "Prop12.10", "Prop10.1", "Prop6.18", "Prop5.16", "Prop6.6", "Prop5.22", "Prop6.5", "Prop12.8", "Prop5.12", "Prop5.7", "D11.24", "D6.1", "D6.1", "D11.9"],
"Prop12.13": ["Prop12.11", "D5.5"],
"Prop12.14": ["Prop12.11", "Prop12.13", "Prop12.10"],
"Prop12.15": ["Prop12.11", "Prop5.7", "Prop12.13", "Prop5.11", "Prop5.9"],
"Prop12.16": ["Prop3.16", "Prop10.1", "Prop3.3", "Prop1.4", "Prop1.28", "Prop4.1"],
"Prop12.17": ["Prop3.15", "Prop12.16", "Prop11.18", "Prop11.11", "Prop3.27", "Prop1.26", "Prop6.2", "Prop11.6", "Prop1.33", "Prop11.1", "Prop11.7", "Prop11.2", "Prop1.47", "Prop3.31", "Prop6.8", "Prop12.8", "Prop5.12", "D11.14", "D3.1", "D11.4", "D11.3"],
"Prop12.18": ["Prop12.17", "Prop5.16", "Prop5.14", "Prop5.7", "Prop12.2"]
},
"book13": {
"Prop13.1": ["Prop6.17", "Prop6.1", "Prop1.43", "D6.3"],
"Prop13.2": ["Prop6.1", "Prop1.43", "Prop6.17", "Prop5.14", "Prop2.4"],
"Prop13.3": ["Prop6.17", "D6.3", "Prop6.1", "Prop1.43"],
"Prop13.4": ["Prop6.17", "Prop1.43", "D6.3"],
"Prop13.5": ["Prop6.17", "Prop1.43", "Prop5.14", "D6.3"],
"Prop13.6": ["Prop13.1", "Prop10.6", "Prop10.9", "Prop10.73", "Prop6.17", "Prop10.97", "D10.4", "D6.3"],
"Prop13.7": ["Prop1.4", "Prop1.6", "Prop1.8", "Prop1.5"],
"Prop13.8": ["Prop4.14", "Prop1.4", "Prop1.32", "Prop3.28", "Prop6.33", "Prop1.6", "Prop1.5", "Prop6.4", "Prop5.14"],
"Prop13.9": ["Prop3.1", "Prop6.33", "Prop1.5", "Prop1.32", "Prop4.15", "Prop6.4", "Prop5.14"],
"Prop13.10": ["Prop3.1", "Prop1.5", "Prop1.26", "Prop3.26", "Prop6.33", "Prop1.32", "Prop6.4", "Prop6.17", "Prop1.4", "Prop3.29", "Prop2.2", "Prop4.15"],
"Prop13.11": ["Prop3.1", "Prop1.4", "Prop1.32", "Prop6.4", "Prop5.18", "Prop13.8", "Prop13.1", "Prop10.9", "Prop10.73", "Prop10.15", "Prop10.12", "Prop5.19", "Prop10.9", "Prop10.94", "Prop6.8", "D10.14"],
"Prop13.12": ["Prop4.2", "Prop3.1", "Prop4.15", "Prop3.31", "Prop1.47"],
"Prop13.13": ["Prop6.10", "Prop4.2", "Prop3.1", "Prop11.12", "Prop1.4", "Prop13.12", "Prop6.17", "Prop6.8", "Prop3.31", "Prop6.4", "Prop6.1", "D11.3"],
"Prop13.14": ["Prop11.12", "Prop1.47", "Prop1.4", "Prop3.31", "Prop6.8", "D5.9"],
"Prop13.15": ["Prop11.4", "Prop1.47", "Prop6.8", "D11.3", "D5.9"],
"Prop13.16": ["Prop6.10", "Prop4.11", "Prop11.6", "Prop1.33", "Prop13.10", "Prop3.1", "Prop11.6", "Prop1.33", "Prop4.15", "Prop1.29", "Prop13.9", "Prop6.8", "Prop3.31", "Prop13.3", "Prop13.11", "D11.3", "D5.9"],
"Prop13.17": ["Prop13.15", "Prop13.4", "Prop1.47", "Prop11.6", "Prop6.32", "Prop11.1", "Prop13.5", "Prop13.4", "Prop1.8", "Prop13.7", "Prop11.38", "Prop5.15", "Prop5.14", "Prop13.6", "D11.3"],
"Prop13.18": ["Prop6.8", "Prop13.13", "Prop13.15", "Prop13.14", "Prop6.4", "Prop1.47", "Prop13.16", "Prop4.15", "Prop13.10", "Prop6.20", "Prop13.17", "Prop6.4", "Prop13.9", "Prop11.21", "Prop4.14", "Prop3.1", "Prop1.4", "Prop1.32", "D5.9", "D11.11"]
}
}
and their recursive reference counts:
Recursive counts data (click to expand)
{
"Prop1.1": 4,
"Prop1.2": 10,
"Prop1.3": 13,
"Prop1.4": 2,
"Prop1.5": 18,
"Prop1.6": 17,
"Prop1.7": 20,
"Prop1.8": 21,
"Prop1.9": 38,
"Prop1.10": 44,
"Prop1.11": 42,
"Prop1.12": 46,
"Prop1.13": 86,
"Prop1.14": 92,
"Prop1.15": 94,
"Prop1.16": 137,
"Prop1.17": 223,
"Prop1.18": 177,
"Prop1.19": 195,
"Prop1.20": 216,
"Prop1.21": 569,
"Prop1.22": 219,
"Prop1.23": 221,
"Prop1.24": 472,
"Prop1.25": 476,
"Prop1.26": 365,
"Prop1.27": 139,
"Prop1.28": 371,
"Prop1.29": 280,
"Prop1.30": 560,
"Prop1.31": 361,
"Prop1.32": 813,
"Prop1.33": 563,
"Prop1.34": 841,
"Prop1.35": 1807,
"Prop1.36": 3549,
"Prop1.37": 2935,
"Prop1.38": 4207,
"Prop1.39": 3296,
"Prop1.40": 4568,
"Prop1.41": 3340,
"Prop1.42": 5642,
"Prop1.43": 1682,
"Prop1.44": 7175,
"Prop1.45": 7308,
"Prop1.46": 1055,
"Prop1.47": 7358,
"Prop1.48": 1099,
"Prop2.1": 585,
"Prop2.2": 1416,
"Prop2.3": 1416,
"Prop2.4": 2524,
"Prop2.5": 4087,
"Prop2.6": 4953,
"Prop2.7": 2103,
"Prop2.8": 3786,
"Prop2.9": 5070,
"Prop2.10": 5166,
"Prop2.11": 5150,
"Prop2.12": 6540,
"Prop2.13": 6631,
"Prop2.14": 11464,
"Prop3.1": 86,
"Prop3.2": 322,
"Prop3.3": 126,
"Prop3.4": 334,
"Prop3.5": 3,
"Prop3.6": 3,
"Prop3.7": 705,
"Prop3.8": 927,
"Prop3.9": 171,
"Prop3.10": 263,
"Prop3.11": 302,
"Prop3.12": 302,
"Prop3.13": 689,
"Prop3.14": 340,
"Prop3.15": 945,
"Prop3.16": 419,
"Prop3.17": 599,
"Prop3.18": 640,
"Prop3.19": 1058,
"Prop3.20": 816,
"Prop3.21": 1632,
"Prop3.22": 4080,
"Prop3.23": 139,
"Prop3.24": 542,
"Prop3.25": 450,
"Prop3.26": 683,
"Prop3.27": 1643,
"Prop3.28": 830,
"Prop3.29": 2327,
"Prop3.30": 372,
"Prop3.31": 1735,
"Prop3.32": 3826,
"Prop3.33": 4146,
"Prop3.34": 908,
"Prop3.35": 5165,
"Prop3.36": 7291,
"Prop3.37": 7456,
"Prop4.1": 89,
"Prop4.2": 3959,
"Prop4.3": 5648,
"Prop4.4": 506,
"Prop4.5": 52,
"Prop4.6": 967,
"Prop4.7": 2969,
"Prop4.8": 668,
"Prop4.9": 39,
"Prop4.10": 8144,
"Prop4.11": 12218,
"Prop4.12": 2576,
"Prop4.13": 631,
"Prop4.14": 68,
"Prop4.15": 5571,
"Prop4.16": 29862,
"Prop5.1": 0,
"Prop5.2": 0,
"Prop5.3": 1,
"Prop5.4": 2,
"Prop5.5": 1,
"Prop5.6": 1,
"Prop5.7": 1,
"Prop5.8": 4,
"Prop5.9": 8,
"Prop5.10": 12,
"Prop5.11": 1,
"Prop5.12": 2,
"Prop5.13": 3,
"Prop5.14": 13,
"Prop5.15": 3,
"Prop5.16": 15,
"Prop5.17": 4,
"Prop5.18": 16,
"Prop5.19": 19,
"Prop5.20": 17,
"Prop5.21": 17,
"Prop5.22": 19,
"Prop5.23": 21,
"Prop5.24": 23,
"Prop5.25": 25,
"Prop6.1": 1697,
"Prop6.2": 3421,
"Prop6.3": 3858,
"Prop6.4": 7302,
"Prop6.5": 12136,
"Prop6.6": 16172,
"Prop6.7": 20286,
"Prop6.8": 12225,
"Prop6.9": 1418,
"Prop6.10": 5268,
"Prop6.11": 1418,
"Prop6.12": 1418,
"Prop6.13": 5179,
"Prop6.14": 3414,
"Prop6.15": 3413,
"Prop6.16": 6831,
"Prop6.17": 13662,
"Prop6.18": 16181,
"Prop6.19": 7267,
"Prop6.20": 32414,
"Prop6.21": 2,
"Prop6.22": 27254,
"Prop6.23": 5126,
"Prop6.24": 19508,
"Prop6.25": 13802,
"Prop6.26": 19511,
"Prop6.27": 21232,
"Prop6.28": 40790,
"Prop6.29": 40831,
"Prop6.30": 34456,
"Prop6.31": 19645,
"Prop6.32": 3002,
"Prop6.33": 1820,
"Prop7.1": 0,
"Prop7.2": 1,
"Prop7.3": 6,
"Prop7.4": 1,
"Prop7.5": 0,
"Prop7.6": 1,
"Prop7.7": 1,
"Prop7.8": 2,
"Prop7.9": 2,
"Prop7.10": 6,
"Prop7.11": 5,
"Prop7.12": 4,
"Prop7.13": 8,
"Prop7.14": 24,
"Prop7.15": 5,
"Prop7.16": 7,
"Prop7.17": 10,
"Prop7.18": 25,
"Prop7.19": 71,
"Prop7.20": 14,
"Prop7.21": 23,
"Prop7.22": 12,
"Prop7.23": 0,
"Prop7.24": 31,
"Prop7.25": 32,
"Prop7.26": 62,
"Prop7.27": 126,
"Prop7.28": 0,
"Prop7.29": 0,
"Prop7.30": 78,
"Prop7.31": 0,
"Prop7.32": 1,
"Prop7.33": 93,
"Prop7.34": 346,
"Prop7.35": 0,
"Prop7.36": 347,
"Prop7.37": 7,
"Prop7.38": 7,
"Prop7.39": 1009,
"Prop8.1": 38,
"Prop8.2": 202,
"Prop8.3": 391,
"Prop8.4": 385,
"Prop8.5": 578,
"Prop8.6": 490,
"Prop8.7": 491,
"Prop8.8": 686,
"Prop8.9": 595,
"Prop8.10": 54,
"Prop8.11": 55,
"Prop8.12": 111,
"Prop8.13": 25,
"Prop8.14": 548,
"Prop8.15": 603,
"Prop8.16": 1096,
"Prop8.17": 1206,
"Prop8.18": 138,
"Prop8.19": 305,
"Prop8.20": 491,
"Prop8.21": 1476,
"Prop8.22": 593,
"Prop8.23": 1573,
"Prop8.24": 1324,
"Prop8.25": 2086,
"Prop8.26": 340,
"Prop8.27": 609,
"Prop9.1": 1468,
"Prop9.2": 585,
"Prop9.3": 1673,
"Prop9.4": 2541,
"Prop9.5": 2541,
"Prop9.6": 2087,
"Prop9.7": 1,
"Prop9.8": 1669,
"Prop9.9": 6748,
"Prop9.10": 6404,
"Prop9.11": 7,
"Prop9.12": 103,
"Prop9.13": 1321,
"Prop9.14": 79,
"Prop9.15": 8814,
"Prop9.16": 23,
"Prop9.17": 38,
"Prop9.18": 94,
"Prop9.19": 156,
"Prop9.20": 395,
"Prop9.21": 1,
"Prop9.22": 3,
"Prop9.23": 4,
"Prop9.24": 1,
"Prop9.25": 2,
"Prop9.26": 2,
"Prop9.27": 2,
"Prop9.28": 3,
"Prop9.29": 6,
"Prop9.30": 5,
"Prop9.31": 6,
"Prop9.32": 1323,
"Prop9.33": 2,
"Prop9.34": 2,
"Prop9.35": 122,
"Prop9.36": 1550,
"Prop10.1": 1,
"Prop10.2": 3,
"Prop10.3": 4,
"Prop10.4": 7,
"Prop10.5": 21,
"Prop10.6": 45,
"Prop10.7": 46,
"Prop10.8": 22,
"Prop10.9": 6512,
"Prop10.10": 6571,
"Prop10.11": 112,
"Prop10.12": 185,
"Prop10.13": 1158,
"Prop10.14": 6689,
"Prop10.15": 2,
"Prop10.16": 2,
"Prop10.17": 1381,
"Prop10.18": 1163,
"Prop10.19": 6806,
"Prop10.20": 6813,
"Prop10.21": 6802,
"Prop10.22": 20510,
"Prop10.23": 27338,
"Prop10.24": 27340,
"Prop10.25": 40987,
"Prop10.26": 21734,
"Prop10.27": 47885,
"Prop10.28": 48158,
"Prop10.29": 58068,
"Prop10.30": 58201,
"Prop10.31": 106227,
"Prop10.32": 133652,
"Prop10.33": 181803,
"Prop10.34": 287981,
"Prop10.35": 289265,
"Prop10.36": 1378,
"Prop10.37": 2758,
"Prop10.38": 94652,
"Prop10.39": 183273,
"Prop10.40": 290729,
"Prop10.41": 291892,
"Prop10.42": 23116,
"Prop10.43": 294951,
"Prop10.44": 1309158,
"Prop10.45": 206409,
"Prop10.46": 1267169,
"Prop10.47": 1032066,
"Prop10.48": 59635,
"Prop10.49": 59746,
"Prop10.50": 59768,
"Prop10.51": 59746,
"Prop10.52": 96219,
"Prop10.53": 155097,
"Prop10.54": 269157,
"Prop10.55": 425127,
"Prop10.56": 291914,
"Prop10.57": 474001,
"Prop10.58": 1244932,
"Prop10.59": 499012,
"Prop10.60": 924346,
"Prop10.61": 655414,
"Prop10.62": 1094338,
"Prop10.63": 1193562,
"Prop10.64": 1296783,
"Prop10.65": 1032189,
"Prop10.66": 218833,
"Prop10.67": 103548,
"Prop10.68": 1179433,
"Prop10.69": 290730,
"Prop10.70": 291893,
"Prop10.71": 3149302,
"Prop10.72": 7230255,
"Prop10.73": 1389,
"Prop10.74": 48197,
"Prop10.75": 95072,
"Prop10.76": 183312,
"Prop10.77": 1161386,
"Prop10.78": 293304,
"Prop10.79": 22123,
"Prop10.80": 49559,
"Prop10.81": 144783,
"Prop10.82": 206448,
"Prop10.83": 1268054,
"Prop10.84": 316615,
"Prop10.85": 60996,
"Prop10.86": 60996,
"Prop10.87": 61018,
"Prop10.88": 60996,
"Prop10.89": 60996,
"Prop10.90": 61018,
"Prop10.91": 276305,
"Prop10.92": 324553,
"Prop10.93": 433303,
"Prop10.94": 530651,
"Prop10.95": 1270208,
"Prop10.96": 595009,
"Prop10.97": 507233,
"Prop10.98": 612299,
"Prop10.99": 709409,
"Prop10.100": 767845,
"Prop10.101": 1318381,
"Prop10.102": 878742,
"Prop10.103": 222113,
"Prop10.104": 152130,
"Prop10.105": 1800881,
"Prop10.106": 1161387,
"Prop10.107": 293305,
"Prop10.108": 1591181,
"Prop10.109": 1823518,
"Prop10.110": 1712786,
"Prop10.111": 2718637,
"Prop10.112": 238002,
"Prop10.113": 323185,
"Prop10.114": 554319,
"Prop10.115": 6815,
"Prop11.1": 0,
"Prop11.2": 1,
"Prop11.3": 0,
"Prop11.4": 97,
"Prop11.5": 100,
"Prop11.6": 376,
"Prop11.7": 1,
"Prop11.8": 290,
"Prop11.9": 566,
"Prop11.10": 1175,
"Prop11.11": 529,
"Prop11.12": 1145,
"Prop11.13": 2,
"Prop11.14": 141,
"Prop11.15": 1238,
"Prop11.16": 139,
"Prop11.17": 3562,
"Prop11.18": 381,
"Prop11.19": 3,
"Prop11.20": 498,
"Prop11.21": 1314,
"Prop11.22": 818,
"Prop11.23": 9617,
"Prop11.24": 1481,
"Prop11.25": 1508,
"Prop11.26": 669,
"Prop11.27": 3893,
"Prop11.28": 4962,
"Prop11.29": 5526,
"Prop11.30": 5527,
"Prop11.31": 11308,
"Prop11.32": 16834,
"Prop11.33": 34461,
"Prop11.34": 22406,
"Prop11.35": 2256,
"Prop11.36": 31152,
"Prop11.37": 34463,
"Prop11.38": 1845,
"Prop11.39": 16291,
"Prop12.1": 45529,
"Prop12.2": 58126,
"Prop12.3": 74430,
"Prop12.4": 133427,
"Prop12.5": 191621,
"Prop12.6": 210131,
"Prop12.7": 193364,
"Prop12.8": 320911,
"Prop12.9": 22443,
"Prop12.10": 251620,
"Prop12.11": 451468,
"Prop12.12": 893516,
"Prop12.13": 452495,
"Prop12.14": 704180,
"Prop12.15": 704319,
"Prop12.16": 1463,
"Prop12.17": 19754,
"Prop12.18": 78024,
"Prop13.1": 58,
"Prop13.2": 2582,
"Prop13.3": 117,
"Prop13.4": 117,
"Prop13.5": 133,
"Prop13.6": 507476,
"Prop13.7": 58,
"Prop13.8": 3073,
"Prop13.9": 6012,
"Prop13.10": 9899,
"Prop13.11": 1169287,
"Prop13.12": 9648,
"Prop13.13": 24910,
"Prop13.14": 8586,
"Prop13.15": 7535,
"Prop13.16": 1237611,
"Prop13.17": 716773,
"Prop13.18": 1621828
}
Prepare reference objects¶
We need 4 different cylinders representing the different element types (Definitions, Propositions, Postulates, Common Notions), each with a title label on it. The input modifier for each cylinder takes a position, opacity, and some helper inputs like ScaleFactor, Object reference, and IndexofProp to assign each cylinder to a specific book and position along a spiral.
We also need one connection line object. Its input modifier takes a start and end object as reference points, plus an opacity value.
Next, we propagate these datablocks into the network:
Full Blender script (click to expand)
import bpy
import databpy as db
import json
import math
import re
from pathlib import Path
# load all_books_processed.json
data_file = Path('all_books_processed.json')
all_books_processed = json.loads(data_file.read_text())
print(f"Loaded data for {len(all_books_processed)} books")
print(f"Books: {list(all_books_processed.keys())}")
# Show structure of first book
first_book = list(all_books_processed.keys())[0]
print(f"Sample entries: {list(all_books_processed[first_book].keys())[:5]}")
def delete_collections_and_purge(collections_to_delete=['Books']):
"""Delete specified collections and all elements in them, then purge unused data blocks"""
for collection_name in collections_to_delete:
collection = bpy.data.collections.get(collection_name)
if collection:
# Remove all objects from the collection
for obj in collection.objects:
bpy.data.objects.remove(obj, do_unlink=True)
# Remove the collection itself
bpy.data.collections.remove(collection)
# Purge unused data blocks
bpy.ops.outliner.orphans_purge(do_local_ids=True, do_linked_ids=True, do_recursive=True)
delete_collections_and_purge()
# Load recursive counts data
recursive_counts_path = Path('recursive_counts.json')
with recursive_counts_path.open('r') as f:
recursive_counts = json.load(f)
# Create a top-level books collection
books_collection = db.create_collection(name="Books", parent=None)
# Process all books
placed_propositions = set() # Track which propositions we've already placed
placed_definitions = set() # Track which definitions we've already placed
placed_common_notions = set() # Track which common notions we've already placed
placed_postulates = set() # Track which postulates we've already placed
for book_idx, (book_name, book_data) in enumerate(all_books_processed.items()):
print(f"Processing {book_name} with {len(book_data)} entries")
# Create a collection for this book under the books collection
book_collection = db.create_collection(name=book_name, parent=books_collection)
# Calculate scale factor based on book index (start at 1.0 for first book, decrease by 0.1 for each subsequent book)
scale_factor = book_idx
# Collect all unique strings from keys and values
all_strings = set(book_data.keys())
for values in book_data.values():
all_strings.update(values)
# Use regex to categorize strings and sort them numerically
def sort_key(s):
"""Extract numbers from string for proper numerical sorting"""
if re.match(r'^D\d+\.\d+$', s):
parts = s[1:].split('.')
return (int(parts[0]), int(parts[1]))
elif re.match(r'^CN\.\d+$', s):
return (0, int(s.split('.')[1]))
elif re.match(r'^Post\.\d+$', s):
return (0, int(s.split('.')[1]))
elif re.match(r'^Prop\d+\.\d+$', s):
parts = s[4:].split('.')
return (int(parts[0]), int(parts[1]))
return (0, 0)
D = sorted([s for s in all_strings if re.match(r'^D\d+\.\d+$', s)], key=sort_key)
print(f"D: {D}")
CN = sorted([s for s in all_strings if re.match(r'^CN\.\d+$', s)], key=sort_key)
print(f"CN: {CN}")
Post = sorted([s for s in all_strings if re.match(r'^Post\.\d+$', s)], key=sort_key)
print(f"Post: {Post}")
Prop = sorted([s for s in all_strings if re.match(r'^Prop\d+\.\d+$', s)], key=sort_key)
print(f"Prop: {Prop}")
# Create D collection for this book
d_collection = db.create_collection(name=f'{book_name}_D', parent=book_collection)
# Get the source D object
d1_obj = bpy.data.objects['1D']
new_d = [d_name for d_name in D if d_name not in placed_definitions]
# get the DefinitionsCurve object
definitions_curve_collection = db.create_collection(name=f'{book_name}_DefinitionsCurve', parent=book_collection)
definitions_curve_obj = bpy.data.objects['DefinitionsCurve']
definitions_curve_copy = definitions_curve_obj.copy()
definitions_curve_copy.name = f"{book_name}_DefinitionsCurve"
definitions_curve_collection.objects.link(definitions_curve_copy)
definitions_curve_copy.modifiers["GeometryNodes"]["Socket_3"] = book_idx +1 # CurrentBook
definitions_curve_copy.modifiers["GeometryNodes"]["Socket_4"] = len(new_d) # NumberofProps
definitions_curve_copy.modifiers["GeometryNodes"]["Socket_5"] = -(book_idx +1) /13 *math.pi# StartAngle
# Create copies for each D element - only if not already placed
for i, d_name in enumerate(D):
if d_name not in placed_definitions:
d_copy = d1_obj.copy()
d_copy.name = f"{book_name}_{d_name}"
d_collection.objects.link(d_copy)
# Set the String socket value to the D element name
d_copy.modifiers["GeometryNodes"]["Socket_2"] = d_name
# Set the scale factor based on book index
d_copy.modifiers["GeometryNodes"]["Socket_6"] = scale_factor
# Place them at the origin
d_copy.location = (0, 0, 0)
placed_definitions.add(d_name)
d_copy.modifiers["GeometryNodes"]["Socket_7"] = bpy.data.objects[f"{book_name}_DefinitionsCurve"]
d_copy.modifiers["GeometryNodes"]["Socket_8"] = int(d_name.split('.')[-1]) if '.' in d_name else 0
cn_collection = db.create_collection(name=f'{book_name}_CN', parent=book_collection)
# Get the source CN object
cn1_obj = bpy.data.objects['2CN']
# Create copies for each CN element - only if not already placed
for i, cn_name in enumerate(CN):
if cn_name not in placed_common_notions:
cn_copy = cn1_obj.copy()
cn_copy.name = f"{book_name}_{cn_name}"
cn_collection.objects.link(cn_copy)
# Set the String socket value to the CN element name
cn_copy.modifiers["GeometryNodes"]["Socket_2"] = cn_name
# Set the scale factor based on book index
cn_copy.modifiers["GeometryNodes"]["Socket_6"] = scale_factor
# Place them at the origin
cn_copy.location = (0, 0, 0)
placed_common_notions.add(cn_name)
post_collection = db.create_collection(name=f'{book_name}_Post', parent=book_collection)
# Get the source Post object
post1_obj = bpy.data.objects['3Post']
# Create copies for each Post element - only if not already placed
for i, post_name in enumerate(Post):
if post_name not in placed_postulates:
post_copy = post1_obj.copy()
post_copy.name = f"{book_name}_{post_name}"
post_collection.objects.link(post_copy)
# Set the String socket value to the Post element name
post_copy.modifiers["GeometryNodes"]["Socket_2"] = post_name
# Set the scale factor based on book index
post_copy.modifiers["GeometryNodes"]["Socket_6"] = scale_factor
# Place them at the origin
post_copy.location = (0, 0, 0)
placed_postulates.add(post_name)
prop_collection = db.create_collection(name=f'{book_name}_Prop', parent=book_collection)
# Get the source Prop object
prop1_obj = bpy.data.objects['4Prop']
# Create copies for each Prop element - only if not already placed
# First, collect the new propositions that haven't been placed
new_props = [prop_name for prop_name in Prop if prop_name not in placed_propositions]
# Reverse the list of new propositions
# Create book text collection for this book
book_text_collection = db.create_collection(name=f'{book_name}_BookText', parent=book_collection)
# Get the source BookText object
book_text_obj = bpy.data.objects['RefBookString']
book_text_copy = book_text_obj.copy()
book_text_copy.name = f"{book_name}_BookText"
book_text_collection.objects.link(book_text_copy)
book_text_copy.modifiers["GeometryNodes"]["Socket_5"] = book_idx +1
book_text_copy.modifiers["GeometryNodes"]["Socket_4"] = book_idx +1 # CurrentBook
# Get the source BookSpiral object
book_spiral_collection = db.create_collection(name=f'{book_name}_BookSpiral', parent=book_collection)
book_spiral_obj = bpy.data.objects['BookSpiral']
book_spiral_copy = book_spiral_obj.copy()
book_spiral_copy.name = f"{book_name}_BookSpiral"
book_spiral_collection.objects.link(book_spiral_copy)
book_spiral_copy.modifiers["GeometryNodes"]["Socket_3"] = book_idx +1 # CurrentBook
book_spiral_copy.modifiers["GeometryNodes"]["Socket_4"] = len(new_props) # NumberofProps
# new_props = new_props[::-1]
for i, prop_name in enumerate(Prop):
if prop_name not in placed_propositions:
prop_copy = prop1_obj.copy()
prop_copy.name = f"{book_name}_{prop_name}"
prop_collection.objects.link(prop_copy)
# Set the String socket value to the Prop element name
prop_copy.modifiers["GeometryNodes"]["Socket_2"] = prop_name
# Set the scale factor based on recursive counts
if prop_name in recursive_counts:
node_scale_factor = max(1, recursive_counts[prop_name]) # At least 1
else:
node_scale_factor = 1 # Default scale if no recursive count found
print(f"No recursive count found for {prop_name}")
prop_copy.modifiers["GeometryNodes"]["Socket_6"] = int(node_scale_factor)
prop_copy.modifiers["GeometryNodes"]["Socket_8"] = bpy.data.objects[f"{book_name}_BookSpiral"]
prop_copy.modifiers["GeometryNodes"]["Socket_9"] = int(prop_name.split('.')[-1]) if '.' in prop_name else 0
# Place them all at the origin
prop_copy.location = (0, 0, 0)
placed_propositions.add(prop_name)
# Create simple lines for all connections by copying the "Line" object
line_collection = db.create_collection(name=f'{book_name}_Lines', parent=book_collection)
# Get the source Line object
source_line_obj = bpy.data.objects['Line']
# Get all keys from book_data
for key, values in book_data.items():
# If the dictionary has values (dependencies)
if values:
# Iterate over every dependency name in values
for dependency in values:
# Copy the existing Line object
line_copy = source_line_obj.copy()
line_copy.name = f"{book_name}_Line_{key}_to_{dependency}"
# Set the source and target dependencies in the modifiers
key_obj_name = f"{book_name}_{key}"
# Find the dependency object - look for the first occurrence across all books
dependency_obj_name = None
for prev_book_name, _ in list(all_books_processed.items())[:book_idx + 1]:
candidate_name = f"{prev_book_name}_{dependency}"
if bpy.data.objects.get(candidate_name) is not None:
dependency_obj_name = candidate_name
break
# If not found in any book, try current book
if dependency_obj_name is None:
dependency_obj_name = f"{book_name}_{dependency}"
dependency_obj = bpy.data.objects.get(dependency_obj_name)
key_obj = bpy.data.objects.get(key_obj_name)
if dependency_obj is not None and key_obj is not None:
line_copy.modifiers["GeometryNodes"]["Socket_2"] = bpy.data.objects[dependency_obj_name]
line_copy.modifiers["GeometryNodes"]["Socket_3"] = bpy.data.objects[key_obj_name]
# Add to the Lines collection
line_collection.objects.link(line_copy)
print(f"Created {len(line_collection.objects)} simple dependency lines for {book_name}")
All of these modifier values can be animated and changed simultaneously, so it's possible to propagate these reference objects across all 13 books and create a visual like this:
Here's the key principle: each connection line takes two objects as inputs: the Start and End objects. The geometry nodes graph samples the position of each object and draws a curve between them. Along the way, it stores a curve_factor attribute. This is essential for applying the blue-to-white gradient in the shader.
The curve_factor attribute is then used in the shader via a Color Ramp to create the gradient along the line, together with an op attribute for controlling opacity.
If you come up with your own creations and post them online, you're welcome to tag me on Bluesky!