├── .gitignore ├── code_asymptotics ├── extrapolate_asymptotics.m ├── extrapolate_asymptotics.py ├── generate_asymptotics_figures_v2.py └── readme.txt ├── code_limitingDistributions ├── 1000to6000pts_H1bars_gammaparam.fig ├── 2d_randPHfxn.png ├── 5000pts_disk_square.png ├── 5000randpt_PHfunctions_witherror_100trials.fig ├── 5000randpt_PHfunctions_witherror_100trials.pdf ├── 6000pt_H1bars_gammafit_ex.fig ├── 6000pt_H1bars_gammafit_ex.png ├── plotflipBC.m ├── rand_pts_gamma_exp.m └── readme.txt ├── code_ripser ├── GeneratePoints.m ├── SumEdgeLengths.m ├── readme.txt ├── ripserToArray.m └── ripser_script.sh ├── code_ripser_python ├── create_distmat.py ├── create_distmat_file.py ├── create_distmat_str.py ├── gen_pt_cloud_from_measure.py ├── l_systems │ ├── __init__.py │ ├── sierpinski.py │ ├── sierpinski_randomsamp.py │ └── sierpinski_ternary.py ├── read_ripser_results.py ├── readme.txt ├── ripser_interface.py ├── ripser_misc.py ├── run_ripser_sim.py ├── sierpinski_single_scaling.py ├── single_sequence_scaling.py └── test_measures.py ├── code_samplingPoints ├── .DS_Store ├── Sample_CantorCrossInterval.png ├── analyticPointsFromInterval.fig ├── analyticPointsFromInterval.m ├── curvePH.m ├── curvePH0.m ├── curvePH0_script.m ├── kruskal │ ├── kruskal.m │ ├── license.txt │ └── readme.txt ├── load_javaplex_v2.m ├── plotStepFunction.m ├── plotsBarcodes │ ├── Cantor-0-2^i │ │ ├── Cantor-0-1024.png │ │ ├── Cantor-0-128.png │ │ ├── Cantor-0-2048.png │ │ ├── Cantor-0-256.png │ │ ├── Cantor-0-4096.png │ │ ├── Cantor-0-512.png │ │ └── Cantor-0-64.png │ ├── Cantor-0-3_2^i │ │ ├── Cantor-0-1536.png │ │ ├── Cantor-0-192.png │ │ ├── Cantor-0-3072.png │ │ ├── Cantor-0-384.png │ │ ├── Cantor-0-768.png │ │ └── Cantor-0-96.png │ ├── Cantor-0-period │ │ ├── Cantor-0-2048.png │ │ ├── Cantor-0-2353.png │ │ ├── Cantor-0-2702.png │ │ ├── Cantor-0-3104.png │ │ ├── Cantor-0-3566.png │ │ └── Cantor-0-4096.png │ ├── Cantor-0 │ │ ├── Cantor-0-100.png │ │ ├── Cantor-0-1000.png │ │ ├── Cantor-0-1100.png │ │ ├── Cantor-0-1200.png │ │ ├── Cantor-0-1300.png │ │ ├── Cantor-0-1400.png │ │ ├── Cantor-0-1500.png │ │ ├── Cantor-0-1600.png │ │ ├── Cantor-0-1700.png │ │ ├── Cantor-0-1800.png │ │ ├── Cantor-0-1900.png │ │ ├── Cantor-0-200.png │ │ ├── Cantor-0-2000.png │ │ ├── Cantor-0-2100.png │ │ ├── Cantor-0-2200.png │ │ ├── Cantor-0-2300.png │ │ ├── Cantor-0-2400.png │ │ ├── Cantor-0-2500.png │ │ ├── Cantor-0-2600.png │ │ ├── Cantor-0-2700.png │ │ ├── Cantor-0-2800.png │ │ ├── Cantor-0-2900.png │ │ ├── Cantor-0-300.png │ │ ├── Cantor-0-3000.png │ │ ├── Cantor-0-3100.png │ │ ├── Cantor-0-3200.png │ │ ├── Cantor-0-3300.png │ │ ├── Cantor-0-3400.png │ │ ├── Cantor-0-3500.png │ │ ├── Cantor-0-3600.png │ │ ├── Cantor-0-3700.png │ │ ├── Cantor-0-3800.png │ │ ├── Cantor-0-3900.png │ │ ├── Cantor-0-400.png │ │ ├── Cantor-0-4000.png │ │ ├── Cantor-0-500.png │ │ ├── Cantor-0-600.png │ │ ├── Cantor-0-700.png │ │ ├── Cantor-0-800.png │ │ └── Cantor-0-900.png │ ├── CantorDust2D-1-2_4^i │ │ ├── CantorDust-1-128.png │ │ ├── CantorDust-1-2048.png │ │ └── CantorDust-1-512.png │ ├── CantorDust2D-1-3_4^i │ │ ├── CantorDust-1-192.png │ │ ├── CantorDust-1-3072.png │ │ └── CantorDust-1-768.png │ ├── CantorDust2D-1-4^i │ │ ├── CantorDust-1-1024.png │ │ ├── CantorDust-1-256.png │ │ ├── CantorDust-1-4096.png │ │ └── CantorDust-1-64.png │ ├── CantorDust2D-1 │ │ ├── CantorDust-1-100.png │ │ ├── CantorDust-1-1000.png │ │ ├── CantorDust-1-1100.png │ │ ├── CantorDust-1-1200.png │ │ ├── CantorDust-1-1300.png │ │ ├── CantorDust-1-1400.png │ │ ├── CantorDust-1-1500.png │ │ ├── CantorDust-1-1600.png │ │ ├── CantorDust-1-1700.png │ │ ├── CantorDust-1-1800.png │ │ ├── CantorDust-1-1900.png │ │ ├── CantorDust-1-200.png │ │ ├── CantorDust-1-2000.png │ │ ├── CantorDust-1-2100.png │ │ ├── CantorDust-1-2300.png │ │ ├── CantorDust-1-2400.png │ │ ├── CantorDust-1-2500.png │ │ ├── CantorDust-1-2600.png │ │ ├── CantorDust-1-2700.png │ │ ├── CantorDust-1-2800.png │ │ ├── CantorDust-1-2900.png │ │ ├── CantorDust-1-300.png │ │ ├── CantorDust-1-3000.png │ │ ├── CantorDust-1-3100.png │ │ ├── CantorDust-1-3200.png │ │ ├── CantorDust-1-3300.png │ │ ├── CantorDust-1-3400.png │ │ ├── CantorDust-1-3500.png │ │ ├── CantorDust-1-400.png │ │ ├── CantorDust-1-500.png │ │ ├── CantorDust-1-600.png │ │ ├── CantorDust-1-700.png │ │ ├── CantorDust-1-800.png │ │ └── CantorDust-1-900.png │ ├── CantorDust3D-2-8^i │ │ ├── CantorDust3D-2-4096.png │ │ ├── CantorDust3D-2-512.png │ │ └── CantorDust3D-2-64.png │ ├── Cantor_old │ │ ├── Cantor-0-100.png │ │ ├── Cantor-0-1000.png │ │ ├── Cantor-0-1500.png │ │ ├── Cantor-0-200.png │ │ ├── Cantor-0-300.png │ │ └── Cantor-0-400.png │ ├── ComparisonSquareDiskTriangle │ │ ├── 1-100-Disk.png │ │ ├── 1-100-Square.png │ │ ├── 1-100-Triangle.png │ │ ├── 1-1000-Disk.png │ │ ├── 1-1000-Square.png │ │ ├── 1-1000-Triangle.png │ │ ├── 1-1100-Disk.png │ │ ├── 1-1100-Square.png │ │ ├── 1-1100-Triangle.png │ │ ├── 1-1200-Disk.png │ │ ├── 1-1200-Square.png │ │ ├── 1-1200-Triangle.png │ │ ├── 1-1300-Disk.png │ │ ├── 1-1300-Square.png │ │ ├── 1-1300-Triangle.png │ │ ├── 1-1400-Disk.png │ │ ├── 1-1400-Square.png │ │ ├── 1-1400-Triangle.png │ │ ├── 1-1500-Disk.png │ │ ├── 1-1500-Square.png │ │ ├── 1-1500-Triangle.png │ │ ├── 1-1600-Disk.png │ │ ├── 1-1600-Square.png │ │ ├── 1-1600-Triangle.png │ │ ├── 1-1700-Disk.png │ │ ├── 1-1700-Square.png │ │ ├── 1-1700-Triangle.png │ │ ├── 1-1800-Disk.png │ │ ├── 1-1800-Square.png │ │ ├── 1-1800-Triangle.png │ │ ├── 1-1900-Disk.png │ │ ├── 1-1900-Square.png │ │ ├── 1-1900-Triangle.png │ │ ├── 1-200-Disk.png │ │ ├── 1-200-Square.png │ │ ├── 1-200-Triangle.png │ │ ├── 1-2000-Disk.png │ │ ├── 1-2000-Square.png │ │ ├── 1-2000-Triangle.png │ │ ├── 1-300-Disk.png │ │ ├── 1-300-Square.png │ │ ├── 1-300-Triangle.png │ │ ├── 1-400-Disk.png │ │ ├── 1-400-Square.png │ │ ├── 1-400-Triangle.png │ │ ├── 1-500-Disk.png │ │ ├── 1-500-Square.png │ │ ├── 1-500-Triangle.png │ │ ├── 1-600-Disk.png │ │ ├── 1-600-Square.png │ │ ├── 1-600-Triangle.png │ │ ├── 1-700-Disk.png │ │ ├── 1-700-Square.png │ │ ├── 1-700-Triangle.png │ │ ├── 1-800-Disk.png │ │ ├── 1-800-Square.png │ │ ├── 1-800-Triangle.png │ │ ├── 1-900-Disk.png │ │ ├── 1-900-Square.png │ │ └── 1-900-Triangle.png │ ├── Cube-1 │ │ ├── Cube-1-100.png │ │ ├── Cube-1-1000.png │ │ ├── Cube-1-1100.png │ │ ├── Cube-1-1200.png │ │ ├── Cube-1-1300.png │ │ ├── Cube-1-1400.png │ │ ├── Cube-1-1500.png │ │ ├── Cube-1-1600.png │ │ ├── Cube-1-1700.png │ │ ├── Cube-1-1800.png │ │ ├── Cube-1-1900.png │ │ ├── Cube-1-200.png │ │ ├── Cube-1-2000.png │ │ ├── Cube-1-300.png │ │ ├── Cube-1-400.png │ │ ├── Cube-1-500.png │ │ ├── Cube-1-600.png │ │ ├── Cube-1-700.png │ │ ├── Cube-1-800.png │ │ └── Cube-1-900.png │ ├── Disk-1 │ │ ├── Disk-1-100.png │ │ ├── Disk-1-1000.png │ │ ├── Disk-1-1100.png │ │ ├── Disk-1-1200.png │ │ ├── Disk-1-1300.png │ │ ├── Disk-1-1400.png │ │ ├── Disk-1-1500.png │ │ ├── Disk-1-1600.png │ │ ├── Disk-1-1700.png │ │ ├── Disk-1-1800.png │ │ ├── Disk-1-1900.png │ │ ├── Disk-1-200.png │ │ ├── Disk-1-2000.png │ │ ├── Disk-1-300.png │ │ ├── Disk-1-400.png │ │ ├── Disk-1-500.png │ │ ├── Disk-1-600.png │ │ ├── Disk-1-700.png │ │ ├── Disk-1-800.png │ │ └── Disk-1-900.png │ ├── Interval-0 │ │ ├── Interval-0-100.png │ │ ├── Interval-0-1000.png │ │ ├── Interval-0-1100.png │ │ ├── Interval-0-1200.png │ │ ├── Interval-0-1300.png │ │ ├── Interval-0-1400.png │ │ ├── Interval-0-1500.png │ │ ├── Interval-0-1600.png │ │ ├── Interval-0-1700.png │ │ ├── Interval-0-1800.png │ │ ├── Interval-0-1900.png │ │ ├── Interval-0-200.png │ │ ├── Interval-0-2000.png │ │ ├── Interval-0-300.png │ │ ├── Interval-0-400.png │ │ ├── Interval-0-500.png │ │ ├── Interval-0-600.png │ │ ├── Interval-0-700.png │ │ ├── Interval-0-800.png │ │ └── Interval-0-900.png │ ├── Sierpinski2D-0 │ │ ├── Sierpinski2D-0-2187.png │ │ ├── Sierpinski2D-0-243.png │ │ ├── Sierpinski2D-0-729.png │ │ └── Sierpinski2D-0-81.png │ ├── Sierpinski2D-1 │ │ ├── Sierpinski2D-1-1000.png │ │ ├── Sierpinski2D-1-200.png │ │ ├── Sierpinski2D-1-243.png │ │ ├── Sierpinski2D-1-400.png │ │ ├── Sierpinski2D-1-600.png │ │ ├── Sierpinski2D-1-729.png │ │ ├── Sierpinski2D-1-800.png │ │ └── Sierpinski2D-1-81.png │ ├── Square-0 │ │ ├── Square-0-100.png │ │ ├── Square-0-1000.png │ │ ├── Square-0-1100.png │ │ ├── Square-0-1200.png │ │ ├── Square-0-1300.png │ │ ├── Square-0-1400.png │ │ ├── Square-0-1500.png │ │ ├── Square-0-1600.png │ │ ├── Square-0-1700.png │ │ ├── Square-0-1800.png │ │ ├── Square-0-1900.png │ │ ├── Square-0-200.png │ │ ├── Square-0-2000.png │ │ ├── Square-0-300.png │ │ ├── Square-0-400.png │ │ ├── Square-0-500.png │ │ ├── Square-0-600.png │ │ ├── Square-0-700.png │ │ ├── Square-0-800.png │ │ └── Square-0-900.png │ ├── Square-1 │ │ ├── Square-1-100.png │ │ ├── Square-1-1000.png │ │ ├── Square-1-1100.png │ │ ├── Square-1-1200.png │ │ ├── Square-1-1300.png │ │ ├── Square-1-1400.png │ │ ├── Square-1-1500.png │ │ ├── Square-1-1600.png │ │ ├── Square-1-1700.png │ │ ├── Square-1-1800.png │ │ ├── Square-1-1900.png │ │ ├── Square-1-200.png │ │ ├── Square-1-2000.png │ │ ├── Square-1-300.png │ │ ├── Square-1-400.png │ │ ├── Square-1-500.png │ │ ├── Square-1-600.png │ │ ├── Square-1-700.png │ │ ├── Square-1-800.png │ │ └── Square-1-900.png │ └── Triangle-1 │ │ ├── Triangle-1-100.png │ │ ├── Triangle-1-1000.png │ │ ├── Triangle-1-1100.png │ │ ├── Triangle-1-1200.png │ │ ├── Triangle-1-1300.png │ │ ├── Triangle-1-1400.png │ │ ├── Triangle-1-1500.png │ │ ├── Triangle-1-1600.png │ │ ├── Triangle-1-1700.png │ │ ├── Triangle-1-1800.png │ │ ├── Triangle-1-1900.png │ │ ├── Triangle-1-200.png │ │ ├── Triangle-1-2000.png │ │ ├── Triangle-1-300.png │ │ ├── Triangle-1-400.png │ │ ├── Triangle-1-500.png │ │ ├── Triangle-1-600.png │ │ ├── Triangle-1-700.png │ │ ├── Triangle-1-800.png │ │ └── Triangle-1-900.png ├── plotsStepFunctions │ ├── .DS_Store │ ├── Cantor-0-2^i │ │ ├── Cantor-0-1024.png │ │ ├── Cantor-0-128.png │ │ ├── Cantor-0-2048.png │ │ ├── Cantor-0-256.png │ │ ├── Cantor-0-4096.png │ │ ├── Cantor-0-512.png │ │ └── Cantor-0-64.png │ ├── Cantor-0 │ │ ├── Cantor-0-100.png │ │ ├── Cantor-0-1000.png │ │ ├── Cantor-0-1100.png │ │ ├── Cantor-0-1200.png │ │ ├── Cantor-0-1300.png │ │ ├── Cantor-0-1400.png │ │ ├── Cantor-0-1500.png │ │ ├── Cantor-0-1600.png │ │ ├── Cantor-0-1700.png │ │ ├── Cantor-0-1800.png │ │ ├── Cantor-0-1900.png │ │ ├── Cantor-0-200.png │ │ ├── Cantor-0-2000.png │ │ ├── Cantor-0-2100.png │ │ ├── Cantor-0-2200.png │ │ ├── Cantor-0-2300.png │ │ ├── Cantor-0-2400.png │ │ ├── Cantor-0-2500.png │ │ ├── Cantor-0-2600.png │ │ ├── Cantor-0-2700.png │ │ ├── Cantor-0-2800.png │ │ ├── Cantor-0-2900.png │ │ ├── Cantor-0-300.png │ │ ├── Cantor-0-3000.png │ │ ├── Cantor-0-3100.png │ │ ├── Cantor-0-3200.png │ │ ├── Cantor-0-3300.png │ │ ├── Cantor-0-3400.png │ │ ├── Cantor-0-400.png │ │ ├── Cantor-0-500.png │ │ ├── Cantor-0-600.png │ │ ├── Cantor-0-700.png │ │ ├── Cantor-0-800.png │ │ └── Cantor-0-900.png │ ├── CantorCrossInterval-0-dim1plus │ │ ├── CantorCrossInterval-0-dim1plus-100.png │ │ ├── CantorCrossInterval-0-dim1plus-1000.png │ │ ├── CantorCrossInterval-0-dim1plus-1100.png │ │ ├── CantorCrossInterval-0-dim1plus-1200.png │ │ ├── CantorCrossInterval-0-dim1plus-1300.png │ │ ├── CantorCrossInterval-0-dim1plus-1400.png │ │ ├── CantorCrossInterval-0-dim1plus-150.png │ │ ├── CantorCrossInterval-0-dim1plus-1500.png │ │ ├── CantorCrossInterval-0-dim1plus-1600.png │ │ ├── CantorCrossInterval-0-dim1plus-1700.png │ │ ├── CantorCrossInterval-0-dim1plus-1800.png │ │ ├── CantorCrossInterval-0-dim1plus-1900.png │ │ ├── CantorCrossInterval-0-dim1plus-200.png │ │ ├── CantorCrossInterval-0-dim1plus-2000.png │ │ ├── CantorCrossInterval-0-dim1plus-2100.png │ │ ├── CantorCrossInterval-0-dim1plus-2200.png │ │ ├── CantorCrossInterval-0-dim1plus-2300.png │ │ ├── CantorCrossInterval-0-dim1plus-2400.png │ │ ├── CantorCrossInterval-0-dim1plus-2500.png │ │ ├── CantorCrossInterval-0-dim1plus-2600.png │ │ ├── CantorCrossInterval-0-dim1plus-2700.png │ │ ├── CantorCrossInterval-0-dim1plus-2800.png │ │ ├── CantorCrossInterval-0-dim1plus-2900.png │ │ ├── CantorCrossInterval-0-dim1plus-300.png │ │ ├── CantorCrossInterval-0-dim1plus-3000.png │ │ ├── CantorCrossInterval-0-dim1plus-3100.png │ │ ├── CantorCrossInterval-0-dim1plus-3200.png │ │ ├── CantorCrossInterval-0-dim1plus-3300.png │ │ ├── CantorCrossInterval-0-dim1plus-3400.png │ │ ├── CantorCrossInterval-0-dim1plus-3500.png │ │ ├── CantorCrossInterval-0-dim1plus-400.png │ │ ├── CantorCrossInterval-0-dim1plus-4000.png │ │ ├── CantorCrossInterval-0-dim1plus-4500.png │ │ ├── CantorCrossInterval-0-dim1plus-50.png │ │ ├── CantorCrossInterval-0-dim1plus-500.png │ │ ├── CantorCrossInterval-0-dim1plus-5500.png │ │ ├── CantorCrossInterval-0-dim1plus-600.png │ │ ├── CantorCrossInterval-0-dim1plus-700.png │ │ ├── CantorCrossInterval-0-dim1plus-800.png │ │ └── CantorCrossInterval-0-dim1plus-900.png │ ├── CantorCrossInterval-0-dim2 │ │ ├── CantorCrossInterval-0-dim2-100.png │ │ ├── CantorCrossInterval-0-dim2-1000.png │ │ ├── CantorCrossInterval-0-dim2-1100.png │ │ ├── CantorCrossInterval-0-dim2-1200.png │ │ ├── CantorCrossInterval-0-dim2-1300.png │ │ ├── CantorCrossInterval-0-dim2-1400.png │ │ ├── CantorCrossInterval-0-dim2-150.png │ │ ├── CantorCrossInterval-0-dim2-1500.png │ │ ├── CantorCrossInterval-0-dim2-1600.png │ │ ├── CantorCrossInterval-0-dim2-1700.png │ │ ├── CantorCrossInterval-0-dim2-1800.png │ │ ├── CantorCrossInterval-0-dim2-1900.png │ │ ├── CantorCrossInterval-0-dim2-200.png │ │ ├── CantorCrossInterval-0-dim2-2000.png │ │ ├── CantorCrossInterval-0-dim2-2100.png │ │ ├── CantorCrossInterval-0-dim2-2200.png │ │ ├── CantorCrossInterval-0-dim2-2300.png │ │ ├── CantorCrossInterval-0-dim2-2400.png │ │ ├── CantorCrossInterval-0-dim2-2500.png │ │ ├── CantorCrossInterval-0-dim2-2600.png │ │ ├── CantorCrossInterval-0-dim2-2700.png │ │ ├── CantorCrossInterval-0-dim2-2800.png │ │ ├── CantorCrossInterval-0-dim2-2900.png │ │ ├── CantorCrossInterval-0-dim2-300.png │ │ ├── CantorCrossInterval-0-dim2-3000.png │ │ ├── CantorCrossInterval-0-dim2-3100.png │ │ ├── CantorCrossInterval-0-dim2-3200.png │ │ ├── CantorCrossInterval-0-dim2-3300.png │ │ ├── CantorCrossInterval-0-dim2-3400.png │ │ ├── CantorCrossInterval-0-dim2-3500.png │ │ ├── CantorCrossInterval-0-dim2-400.png │ │ ├── CantorCrossInterval-0-dim2-4000.png │ │ ├── CantorCrossInterval-0-dim2-4500.png │ │ ├── CantorCrossInterval-0-dim2-50.png │ │ ├── CantorCrossInterval-0-dim2-500.png │ │ ├── CantorCrossInterval-0-dim2-5500.png │ │ ├── CantorCrossInterval-0-dim2-600.png │ │ ├── CantorCrossInterval-0-dim2-700.png │ │ ├── CantorCrossInterval-0-dim2-800.png │ │ └── CantorCrossInterval-0-dim2-900.png │ ├── CantorDust2D-0 │ │ ├── CantorDust2D-0-100.png │ │ ├── CantorDust2D-0-1000.png │ │ ├── CantorDust2D-0-1100.png │ │ ├── CantorDust2D-0-1200.png │ │ ├── CantorDust2D-0-1300.png │ │ ├── CantorDust2D-0-1400.png │ │ ├── CantorDust2D-0-1500.png │ │ ├── CantorDust2D-0-1600.png │ │ ├── CantorDust2D-0-1700.png │ │ ├── CantorDust2D-0-1800.png │ │ ├── CantorDust2D-0-1900.png │ │ ├── CantorDust2D-0-200.png │ │ ├── CantorDust2D-0-2000.png │ │ ├── CantorDust2D-0-2100.png │ │ ├── CantorDust2D-0-2200.png │ │ ├── CantorDust2D-0-2300.png │ │ ├── CantorDust2D-0-2400.png │ │ ├── CantorDust2D-0-2500.png │ │ ├── CantorDust2D-0-2600.png │ │ ├── CantorDust2D-0-2700.png │ │ ├── CantorDust2D-0-2800.png │ │ ├── CantorDust2D-0-2900.png │ │ ├── CantorDust2D-0-300.png │ │ ├── CantorDust2D-0-3000.png │ │ ├── CantorDust2D-0-3100.png │ │ ├── CantorDust2D-0-3200.png │ │ ├── CantorDust2D-0-3300.png │ │ ├── CantorDust2D-0-3400.png │ │ ├── CantorDust2D-0-3500.png │ │ ├── CantorDust2D-0-400.png │ │ ├── CantorDust2D-0-500.png │ │ ├── CantorDust2D-0-600.png │ │ ├── CantorDust2D-0-700.png │ │ ├── CantorDust2D-0-800.png │ │ └── CantorDust2D-0-900.png │ ├── CantorDust3D-0 │ │ ├── CantorDust3D-0-100.png │ │ ├── CantorDust3D-0-1000.png │ │ ├── CantorDust3D-0-1100.png │ │ ├── CantorDust3D-0-1200.png │ │ ├── CantorDust3D-0-1300.png │ │ ├── CantorDust3D-0-1400.png │ │ ├── CantorDust3D-0-1500.png │ │ ├── CantorDust3D-0-1600.png │ │ ├── CantorDust3D-0-1700.png │ │ ├── CantorDust3D-0-1800.png │ │ ├── CantorDust3D-0-1900.png │ │ ├── CantorDust3D-0-200.png │ │ ├── CantorDust3D-0-2000.png │ │ ├── CantorDust3D-0-2100.png │ │ ├── CantorDust3D-0-2200.png │ │ ├── CantorDust3D-0-2300.png │ │ ├── CantorDust3D-0-2400.png │ │ ├── CantorDust3D-0-2500.png │ │ ├── CantorDust3D-0-2600.png │ │ ├── CantorDust3D-0-2700.png │ │ ├── CantorDust3D-0-2800.png │ │ ├── CantorDust3D-0-2900.png │ │ ├── CantorDust3D-0-300.png │ │ ├── CantorDust3D-0-3000.png │ │ ├── CantorDust3D-0-3100.png │ │ ├── CantorDust3D-0-3200.png │ │ ├── CantorDust3D-0-3300.png │ │ ├── CantorDust3D-0-3400.png │ │ ├── CantorDust3D-0-3500.png │ │ ├── CantorDust3D-0-400.png │ │ ├── CantorDust3D-0-500.png │ │ ├── CantorDust3D-0-600.png │ │ ├── CantorDust3D-0-700.png │ │ ├── CantorDust3D-0-800.png │ │ └── CantorDust3D-0-900.png │ ├── Cube-0 │ │ ├── Cube-0-100.png │ │ ├── Cube-0-1000.png │ │ ├── Cube-0-1100.png │ │ ├── Cube-0-1200.png │ │ ├── Cube-0-1300.png │ │ ├── Cube-0-1400.png │ │ ├── Cube-0-1500.png │ │ ├── Cube-0-1600.png │ │ ├── Cube-0-1700.png │ │ ├── Cube-0-1800.png │ │ ├── Cube-0-1900.png │ │ ├── Cube-0-200.png │ │ ├── Cube-0-2000.png │ │ ├── Cube-0-300.png │ │ ├── Cube-0-400.png │ │ ├── Cube-0-500.png │ │ ├── Cube-0-600.png │ │ ├── Cube-0-700.png │ │ ├── Cube-0-800.png │ │ └── Cube-0-900.png │ ├── Disk-0 │ │ ├── Disk-0-100.png │ │ ├── Disk-0-1000.png │ │ ├── Disk-0-1100.png │ │ ├── Disk-0-1200.png │ │ ├── Disk-0-1300.png │ │ ├── Disk-0-1400.png │ │ ├── Disk-0-1500.png │ │ ├── Disk-0-1600.png │ │ ├── Disk-0-1700.png │ │ ├── Disk-0-1800.png │ │ ├── Disk-0-1900.png │ │ ├── Disk-0-200.png │ │ ├── Disk-0-2000.png │ │ ├── Disk-0-300.png │ │ ├── Disk-0-400.png │ │ ├── Disk-0-500.png │ │ ├── Disk-0-600.png │ │ ├── Disk-0-700.png │ │ ├── Disk-0-800.png │ │ └── Disk-0-900.png │ ├── Interval-0 │ │ ├── Interval-0-100.png │ │ ├── Interval-0-1000.png │ │ ├── Interval-0-1100.png │ │ ├── Interval-0-1200.png │ │ ├── Interval-0-1300.png │ │ ├── Interval-0-1400.png │ │ ├── Interval-0-1500.png │ │ ├── Interval-0-1600.png │ │ ├── Interval-0-1700.png │ │ ├── Interval-0-1800.png │ │ ├── Interval-0-1900.png │ │ ├── Interval-0-200.png │ │ ├── Interval-0-2000.png │ │ ├── Interval-0-300.png │ │ ├── Interval-0-400.png │ │ ├── Interval-0-500.png │ │ ├── Interval-0-600.png │ │ ├── Interval-0-700.png │ │ ├── Interval-0-800.png │ │ └── Interval-0-900.png │ ├── Sierpinski2D-0 │ │ ├── Sierpinski2D-0-100.png │ │ ├── Sierpinski2D-0-1000.png │ │ ├── Sierpinski2D-0-1100.png │ │ ├── Sierpinski2D-0-1200.png │ │ ├── Sierpinski2D-0-1300.png │ │ ├── Sierpinski2D-0-1400.png │ │ ├── Sierpinski2D-0-1500.png │ │ ├── Sierpinski2D-0-1600.png │ │ ├── Sierpinski2D-0-1700.png │ │ ├── Sierpinski2D-0-1800.png │ │ ├── Sierpinski2D-0-1900.png │ │ ├── Sierpinski2D-0-200.png │ │ ├── Sierpinski2D-0-2000.png │ │ ├── Sierpinski2D-0-2100.png │ │ ├── Sierpinski2D-0-2200.png │ │ ├── Sierpinski2D-0-2300.png │ │ ├── Sierpinski2D-0-2400.png │ │ ├── Sierpinski2D-0-2500.png │ │ ├── Sierpinski2D-0-2600.png │ │ ├── Sierpinski2D-0-2700.png │ │ ├── Sierpinski2D-0-2800.png │ │ ├── Sierpinski2D-0-2900.png │ │ ├── Sierpinski2D-0-300.png │ │ ├── Sierpinski2D-0-3000.png │ │ ├── Sierpinski2D-0-3100.png │ │ ├── Sierpinski2D-0-3200.png │ │ ├── Sierpinski2D-0-3300.png │ │ ├── Sierpinski2D-0-3400.png │ │ ├── Sierpinski2D-0-3500.png │ │ ├── Sierpinski2D-0-400.png │ │ ├── Sierpinski2D-0-500.png │ │ ├── Sierpinski2D-0-600.png │ │ ├── Sierpinski2D-0-700.png │ │ ├── Sierpinski2D-0-800.png │ │ └── Sierpinski2D-0-900.png │ ├── Sierpinski2Dseparation-0-3^i │ │ ├── Sierpinski2Dseparation-0-19683.png │ │ ├── Sierpinski2Dseparation-0-2187.png │ │ ├── Sierpinski2Dseparation-0-243.png │ │ ├── Sierpinski2Dseparation-0-6561.png │ │ ├── Sierpinski2Dseparation-0-729.png │ │ └── Sierpinski2Dseparation-0-81.png │ ├── Sierpinski2Dseparation-0 │ │ ├── Sierpinski2Dseparation-0-100.png │ │ ├── Sierpinski2Dseparation-0-1000.png │ │ ├── Sierpinski2Dseparation-0-1100.png │ │ ├── Sierpinski2Dseparation-0-1200.png │ │ ├── Sierpinski2Dseparation-0-1300.png │ │ ├── Sierpinski2Dseparation-0-1400.png │ │ ├── Sierpinski2Dseparation-0-1500.png │ │ ├── Sierpinski2Dseparation-0-1600.png │ │ ├── Sierpinski2Dseparation-0-1700.png │ │ ├── Sierpinski2Dseparation-0-1800.png │ │ ├── Sierpinski2Dseparation-0-1900.png │ │ ├── Sierpinski2Dseparation-0-200.png │ │ ├── Sierpinski2Dseparation-0-2000.png │ │ ├── Sierpinski2Dseparation-0-2100.png │ │ ├── Sierpinski2Dseparation-0-2200.png │ │ ├── Sierpinski2Dseparation-0-2300.png │ │ ├── Sierpinski2Dseparation-0-2400.png │ │ ├── Sierpinski2Dseparation-0-2500.png │ │ ├── Sierpinski2Dseparation-0-2600.png │ │ ├── Sierpinski2Dseparation-0-2700.png │ │ ├── Sierpinski2Dseparation-0-2800.png │ │ ├── Sierpinski2Dseparation-0-2900.png │ │ ├── Sierpinski2Dseparation-0-300.png │ │ ├── Sierpinski2Dseparation-0-3000.png │ │ ├── Sierpinski2Dseparation-0-400.png │ │ ├── Sierpinski2Dseparation-0-500.png │ │ ├── Sierpinski2Dseparation-0-600.png │ │ ├── Sierpinski2Dseparation-0-700.png │ │ ├── Sierpinski2Dseparation-0-800.png │ │ └── Sierpinski2Dseparation-0-900.png │ ├── Square-0 │ │ ├── Square-0-100.png │ │ ├── Square-0-1000.png │ │ ├── Square-0-1100.png │ │ ├── Square-0-1200.png │ │ ├── Square-0-1300.png │ │ ├── Square-0-1400.png │ │ ├── Square-0-1500.png │ │ ├── Square-0-1600.png │ │ ├── Square-0-1700.png │ │ ├── Square-0-1800.png │ │ ├── Square-0-1900.png │ │ ├── Square-0-200.png │ │ ├── Square-0-2000.png │ │ ├── Square-0-300.png │ │ ├── Square-0-400.png │ │ ├── Square-0-500.png │ │ ├── Square-0-600.png │ │ ├── Square-0-700.png │ │ ├── Square-0-800.png │ │ └── Square-0-900.png │ └── Triangle-0 │ │ ├── Triangle-0-100.png │ │ ├── Triangle-0-1000.png │ │ ├── Triangle-0-1100.png │ │ ├── Triangle-0-1200.png │ │ ├── Triangle-0-1300.png │ │ ├── Triangle-0-1400.png │ │ ├── Triangle-0-1500.png │ │ ├── Triangle-0-1600.png │ │ ├── Triangle-0-1700.png │ │ ├── Triangle-0-1800.png │ │ ├── Triangle-0-1900.png │ │ ├── Triangle-0-200.png │ │ ├── Triangle-0-2000.png │ │ ├── Triangle-0-300.png │ │ ├── Triangle-0-400.png │ │ ├── Triangle-0-500.png │ │ ├── Triangle-0-600.png │ │ ├── Triangle-0-700.png │ │ ├── Triangle-0-800.png │ │ └── Triangle-0-900.png ├── pointsCantorDust2D.m ├── pointsCantorDust3D.m ├── pointsCantorSet.m ├── pointsCantorSetCrossInterval.m ├── pointsCantorSetCrossInterval_2000_100000.png ├── pointsCantorTarget.m ├── pointsDiskAreaOne.m ├── pointsSierpinski2D.m ├── pointsSierpinski2Dseparation.m ├── pointsSierpinski2Dseparation_19683.png ├── pointsTriangleAreaOne.m └── readme.txt ├── persistent-homology └── point_clouds │ ├── house_points.txt │ └── torus_points.txt └── readme.txt /.gitignore: -------------------------------------------------------------------------------- 1 | *.swp 2 | code_JRM/CantorDust2D/* 3 | code_JRM/CantorDust3D/* 4 | 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is for computing fractal dimensions via Ripser (https://github.com/Ripser/ripser). 2 | 3 | This code was written by Joshua Mirth. 4 | -------------------------------------------------------------------------------- /code_ripser_python/l_systems/__init__.py: -------------------------------------------------------------------------------- 1 | from . import sierpinski_ternary 2 | from . import sierpinski 3 | -------------------------------------------------------------------------------- /code_samplingPoints/.DS_Store: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/CSU-PHdimension/PHdimension/239e357f8bb790a87b0daa29d38d0832b1631e65/code_samplingPoints/.DS_Store -------------------------------------------------------------------------------- /code_samplingPoints/Sample_CantorCrossInterval.png: -------------------------------------------------------------------------------- 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-------------------------------------------------------------------------------- 1 | The code on this repository accompanies the paper "A fractal dimension for measures via persistent homology" by Henry Adams, Manuchehr Aminian, Elin Farnell, Michael Kirby, Chris Peterson, Joshua Mirth, Rachel Neville, and Clayton Shonkwiler. 2 | --------------------------------------------------------------------------------