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50 crossings: 0 Simplified: 41 0 100 crossings: 0 Simplified: 81 - - PowerPoint PPT Presentation
50 crossings: 0 Simplified: 41 0 100 crossings: 0 Simplified: 81 - - PowerPoint PPT Presentation
0 50 crossings: 0 Simplified: 41 0 100 crossings: 0 Simplified: 81 0 Simplified: 200 156 0 Simplified: 300 229 2500 slope=2.017 2000 intercept=-27.677 r=0.999 hyperbolic volume 1500 1000 500 0 0 200 400 600 800
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50 crossings:
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0 Simplified: 41
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100 crossings:
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Simplified: 81
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Simplified: 200 → 156
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Simplified: 300 → 229
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crossings 200 400 600 800 1000 hyperbolic volume 500 1000 1500 2000 2500
slope=2.017 intercept=-27.677 r=0.999
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tetrahedra −500 500 1000 1500 2000 2500 hyperbolic volume −500 500 1000 1500 2000 2500
slope=0.901 intercept=3.229 r=1.000
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0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 150 300 450 600 750 900 1050
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crossings 101 102 103 104 volume time 10−3 10−2 10−1 100 101 102
slope=2.601 intercept=-6.827 r=0.957
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crossings
−200 200 400 600 800 1000 1200
bridge number
−50 50 100 150 200
slope=0.145 intercept=2.417 r=0.995
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crossings −100 100 200 300 400 500 600 700 800 genus −50 50 100 150 200
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crossings 100 200 300 400 500 600 Chern-Simons −0.2 −0.1 0.0 0.1 0.2 0.2
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crossings
101 102 103
bridge number time
10−1 100 101 102 103 104
slope=2.000 intercept=-3.897 r=0.845