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Quick messy scene for analyzing dominos
This commit is contained in:
Grant Sanderson
parent
f7051c468d
commit
f46f7479ae
1 changed files with 609 additions and 0 deletions
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@ -185,6 +185,615 @@ class SimpleVelocityGraph(GraphScene):
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self.add(lines, self.dots)
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self.lines = lines
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ALL_VELOCITIES = {
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10 : [
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0.350308642,
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0.3861880046,
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0.8665243271,
|
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0.9738947062,
|
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0.8087560386,
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1.067001275,
|
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0.9059117965,
|
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1.113855622,
|
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0.9088626493,
|
||||
1.504155436,
|
||||
1.347926731,
|
||||
1.274067732,
|
||||
1.242854491,
|
||||
1.118319973,
|
||||
1.177303094,
|
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1.202676006,
|
||||
0.9965029762,
|
||||
1.558775605,
|
||||
1.472405453,
|
||||
1.357765612,
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1.200089606,
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1.285810292,
|
||||
1.138860544,
|
||||
1.322373618,
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1.51230804,
|
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1.148233882,
|
||||
1.276983219,
|
||||
1.150601375,
|
||||
1.492090018,
|
||||
1.210502531,
|
||||
1.221097739,
|
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1.141189502,
|
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1.364405053,
|
||||
1.608189241,
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1.223775585,
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1.174824561,
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1.069045338,
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1.468530702,
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||||
1.733048654,
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||||
1.328670635,
|
||||
1.118319973,
|
||||
1.143528005,
|
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1.010945048,
|
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1.430876068,
|
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1.395104167,
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1.018324209,
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1.405646516,
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1.120565596,
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1.24562872,
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1.65590999,
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1.276983219,
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1.282854406,
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1.338229416,
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1.240092593,
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0.9982856291,
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1.811823593,
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1.328670635,
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1.167451185,
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1.27991208,
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||||
1.221097739,
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1.022054335,
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1.160169785,
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1.805960086,
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0.9965029762,
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1.449458874,
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1.603568008,
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1.234605457,
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1.210502531,
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1.192396724,
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1.020185862,
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1.496090259,
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1.322373618,
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1.291763117,
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1.210502531,
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0.9807410662,
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1.341446314,
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1.391625104,
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1.480216622,
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1.148233882,
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1.125084005,
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1.670783433,
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1.118319973,
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1.174824561,
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1.395104167,
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1.167451185,
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1.182291667,
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1.696175279,
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1.306889149,
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1.430876068,
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1.048950501,
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1.823665577,
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1.24562872,
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],
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13 : [
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0.2480920273,
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0.3532654568,
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0.549163523,
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0.5979017857,
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0.6643353175,
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0.8495940117,
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1.037573598,
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0.897413562,
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1.410977665,
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0.9180833562,
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1.303328143,
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0.9324004456,
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2.026785714,
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0.9721980256,
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1.339835934,
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1.002770291,
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2.3797086,
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1.235972684,
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1.508900406,
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1.239174685,
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1.374486864,
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1.181040564,
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1.144309638,
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1.195803571,
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1.265400605,
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1.223328462,
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1.678320802,
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1.198800573,
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0.7958759211,
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1.573425752,
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1.046655205,
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2.009753902,
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1.42782516,
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1.289276088,
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||||
1.347384306,
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||||
1.299786491,
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1.06530385,
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1.339835934,
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||||
1.242393321,
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||||
1.053571429,
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1.317689886,
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1.626943635,
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1.112375415,
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1.362739113,
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0.9110884354,
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||||
1.578618576,
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1.853959025,
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||||
1.504155436,
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1.158163265,
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||||
1.262061817,
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||||
1.060579664,
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1.122820255,
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||||
1.594404762,
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||||
1.27552381,
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||||
1.382431874,
|
||||
1.109794498,
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1.303328143,
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||||
1.160974341,
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||||
1.296264034,
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||||
1.092058056,
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||||
1.077300515,
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||||
1.462756662,
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||||
1.317689886,
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||||
1.390469269,
|
||||
1.099589491,
|
||||
1.649384236,
|
||||
1.467243646,
|
||||
1.402702137,
|
||||
1.092058056,
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||||
1.201812635,
|
||||
1.258740602,
|
||||
1.321329913,
|
||||
1.272131459,
|
||||
1.175236925,
|
||||
1.181040564,
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||||
1.296264034,
|
||||
1.24562872,
|
||||
1.358867695,
|
||||
1.332371667,
|
||||
1.296264034,
|
||||
1.217102872,
|
||||
1.169490045,
|
||||
1.114968365,
|
||||
1.528183478,
|
||||
1.374486864,
|
||||
1.223328462,
|
||||
1.324990107,
|
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1.268757105,
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1.169490045,
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1.578618576,
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],
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14 : [
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0.4905860806,
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0.6236263736,
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||||
0.71391258,
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||||
0.8436004031,
|
||||
1.048950501,
|
||||
0.9585599771,
|
||||
1.138860544,
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||||
1.210940325,
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||||
1.27552381,
|
||||
1.282363079,
|
||||
1.166637631,
|
||||
1.242393321,
|
||||
1.163799096,
|
||||
1.166637631,
|
||||
1.42357568,
|
||||
1.382431874,
|
||||
1.278934301,
|
||||
1.390469269,
|
||||
1.181040564,
|
||||
1.107225529,
|
||||
1.08462909,
|
||||
1.160974341,
|
||||
1.374486864,
|
||||
1.382431874,
|
||||
1.355018211,
|
||||
1.25543682,
|
||||
1.192821518,
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||||
0.9360497624,
|
||||
1.449458874,
|
||||
1.370548506,
|
||||
1.485470275,
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||||
1.471758242,
|
||||
1.149811126,
|
||||
1.217102872,
|
||||
1.152581756,
|
||||
1.402702137,
|
||||
1.155365769,
|
||||
1.141578588,
|
||||
1.248881015,
|
||||
1.074879615,
|
||||
1.453864525,
|
||||
1.303328143,
|
||||
1.248881015,
|
||||
1.169490045,
|
||||
1.214013778,
|
||||
1.220207726,
|
||||
1.310469667,
|
||||
1.42357568,
|
||||
1.163799096,
|
||||
1.220207726,
|
||||
1.141578588,
|
||||
1.207882395,
|
||||
1.104668426,
|
||||
1.328670635,
|
||||
1.25543682,
|
||||
1.239174685,
|
||||
1.169490045,
|
||||
1.149811126,
|
||||
1.000672445,
|
||||
1.144309638,
|
||||
1.232787187,
|
||||
1.268757105,
|
||||
1.306889149,
|
||||
1.538011024,
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||||
1.355018211,
|
||||
1.347384306,
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||||
1.223328462,
|
||||
1.149811126,
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||||
1.158163265,
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||||
1.24562872,
|
||||
1.485470275,
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1.339835934,
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||||
1.314069859,
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1.235972684,
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||||
1.265400605,
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||||
1.181040564,
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1.638087084,
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||||
1.568266979,
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1.299786491,
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||||
1.278934301,
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1.336093376,
|
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1.089570452,
|
||||
1.004876951,
|
||||
1.089570452,
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||||
1.282363079,
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||||
1.449458874,
|
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1.370548506,
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||||
1.265400605,
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||||
1.143215651,
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],
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15 : [
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1.087094156,
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||||
1.223328462,
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||||
1.563141923,
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||||
1.394523115,
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||||
1.268757105,
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||||
1.513675407,
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||||
1.436400686,
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||||
1.094557045,
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||||
0.9761661808,
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||||
1.072469571,
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||||
1.178131597,
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1.366632653,
|
||||
1.258740602,
|
||||
1.25543682,
|
||||
1.285810292,
|
||||
1.235972684,
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1.347384306,
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||||
1.239174685,
|
||||
1.195803571,
|
||||
1.186901808,
|
||||
1.141578588,
|
||||
1.152581756,
|
||||
1.136155412,
|
||||
1.102123107,
|
||||
1.242393321,
|
||||
1.347384306,
|
||||
1.278934301,
|
||||
1.366632653,
|
||||
1.351190476,
|
||||
0.9882674144,
|
||||
1.1898543,
|
||||
1.351190476,
|
||||
1.169490045,
|
||||
1.292760618,
|
||||
1.638087084,
|
||||
1.436400686,
|
||||
1.328670635,
|
||||
1.242393321,
|
||||
1.355018211,
|
||||
1.303328143,
|
||||
1.186901808,
|
||||
1.112375415,
|
||||
1.432100086,
|
||||
1.1898543,
|
||||
1.324990107,
|
||||
1.074879615,
|
||||
1.214013778,
|
||||
1.20483987,
|
||||
1.158163265,
|
||||
1.112375415,
|
||||
1.220207726,
|
||||
1.402702137,
|
||||
1.268757105,
|
||||
1.282363079,
|
||||
1.289276088,
|
||||
1.292760618,
|
||||
1.183963932,
|
||||
1.252150337,
|
||||
1.42782516,
|
||||
1.292760618,
|
||||
1.026440834,
|
||||
1.268757105,
|
||||
1.268757105,
|
||||
1.285810292,
|
||||
1.347384306,
|
||||
1.272131459,
|
||||
1.220207726,
|
||||
1.296264034,
|
||||
1.25543682,
|
||||
1.494754464,
|
||||
1.347384306,
|
||||
1.214013778,
|
||||
1.169490045,
|
||||
1.147053786,
|
||||
1.082175178,
|
||||
1.109794498,
|
||||
1.382431874,
|
||||
1.24562872,
|
||||
1.201812635,
|
||||
1.328670635,
|
||||
1.122820255,
|
||||
1.220207726,
|
||||
1.192821518,
|
||||
1.563141923,
|
||||
1.41935142,
|
||||
1.336093376,
|
||||
1.406827731,
|
||||
1.258740602,
|
||||
1.186901808,
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1.232787187,
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1.107225529,
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],
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}
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# Felt: 8,9,10,11,12,13
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# Hardwood 1-7, 14,15
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class ContrastTwoGraphs(SimpleVelocityGraph):
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CONFIG = {
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"velocities1_index" : 13,
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"velocities2_index" : 14,
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"x_min" : -1,
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"x_max" : 10,
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"y_min" : -0.25,
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"y_max" : 2,
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"x_axis_label" : "",
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"y_axis_label" : "",
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"x_labeled_nums" : [],
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"y_labeled_nums" : [],
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"y_tick_frequency" : 0.25,
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"x_tick_frequency" : 12,
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"moving_average_n" : 20,
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}
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def construct(self):
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self.setup_axes()
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velocities1 = ALL_VELOCITIES[self.velocities1_index]
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velocities2 = ALL_VELOCITIES[self.velocities2_index]
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self.n_data_points = len(velocities1)
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graph1 = self.get_velocity_graph(velocities1)
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graph2 = self.get_velocity_graph(velocities2)
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smoothed_graph1 = self.get_smoothed_velocity_graph(velocities1)
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smoothed_graph2 = self.get_smoothed_velocity_graph(velocities2)
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for graph in graph1, smoothed_graph1:
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self.color_graph(graph)
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for graph in graph2, smoothed_graph2:
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self.color_graph(graph, BLUE, RED)
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for graph in graph1, graph2, smoothed_graph1, smoothed_graph2:
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graph.axes = self.axes.deepcopy()
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graph.add_to_back(graph.axes)
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lower_left = self.axes.get_corner(DOWN+LEFT)
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self.remove(self.axes)
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felt = TextMobject("Felt")
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hardwood = TextMobject("Hardwood")
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hardwood.highlight(RED)
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words = VGroup(felt, hardwood)
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self.force_skipping()
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#Show jaggediness
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graph1.scale(0.5).to_edge(UP)
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graph2.scale(0.5).to_edge(DOWN)
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felt.next_to(graph1, LEFT, buff = 0.75)
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hardwood.next_to(graph2, LEFT, buff = 0.75)
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self.play(
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ShowCreation(graph1, run_time = 3, rate_func = None),
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Write(felt)
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)
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self.play(
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ShowCreation(graph2, run_time = 4, rate_func = None),
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Write(hardwood)
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)
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self.dither()
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for g, sg in (graph1, smoothed_graph1), (graph2, smoothed_graph2):
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sg_copy = sg.deepcopy()
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sg_copy.scale(0.5)
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sg_copy.shift(g.get_center())
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mover = VGroup(*it.chain(*zip(g.dots, g.lines)))
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target = VGroup(*it.chain(*zip(sg_copy.dots, sg_copy.lines)))
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for m, t in zip(mover, target):
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m.target = t
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self.play(LaggedStart(
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MoveToTarget, mover,
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rate_func = lambda t : 0.3*wiggle(t),
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run_time = 3,
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lag_ratio = 0.2,
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))
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twists = TextMobject("Twists?")
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variable_distances = TextMobject("Variable distances")
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for word in twists, variable_distances:
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word.to_corner(UP+RIGHT)
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self.play(Write(twists))
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self.dither()
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self.play(ReplacementTransform(twists, variable_distances))
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self.dither(3)
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self.play(FadeOut(variable_distances))
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self.revert_to_original_skipping_status()
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self.play(
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graph1.scale, 2,
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graph1.move_to, lower_left, DOWN+LEFT,
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graph2.scale, 2,
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graph2.move_to, lower_left, DOWN+LEFT,
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FadeOut(words)
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)
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self.dither()
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return
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#Show moving averages
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self.play(FadeOut(graph2))
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dots = graph1.dots
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dot1, dot2 = dots[21], dots[41]
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rect = Rectangle(
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width = dot2.get_center()[0] - dot1.get_center()[0],
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height = SPACE_HEIGHT - self.x_axis.get_center()[1],
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stroke_width = 0,
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fill_color = YELLOW,
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fill_opacity = 0.5
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)
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rect.move_to(dot2.get_center(), RIGHT)
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rect.to_edge(UP, buff = 0)
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pre_rect = rect.copy()
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pre_rect.stretch_to_fit_width(0)
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pre_rect.move_to(rect, RIGHT)
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arrow = Vector(DOWN)
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arrow.next_to(dot2, UP, SMALL_BUFF)
|
||||
|
||||
self.play(GrowArrow(arrow))
|
||||
self.play(
|
||||
dot2.shift, MED_SMALL_BUFF*UP,
|
||||
dot2.highlight, PINK,
|
||||
rate_func = wiggle
|
||||
)
|
||||
self.dither()
|
||||
self.play(
|
||||
FadeOut(arrow),
|
||||
ReplacementTransform(pre_rect, rect),
|
||||
)
|
||||
self.dither()
|
||||
self.play(
|
||||
Transform(graph1, smoothed_graph1, run_time = 2),
|
||||
Animation(rect)
|
||||
)
|
||||
self.play(FadeOut(rect))
|
||||
self.dither()
|
||||
self.play(FadeIn(graph2))
|
||||
self.play(Transform(graph2, smoothed_graph2))
|
||||
|
||||
felt.next_to(dot2, UP, MED_LARGE_BUFF)
|
||||
hardwood.next_to(felt, DOWN, LARGE_BUFF)
|
||||
|
||||
self.play(
|
||||
LaggedStart(FadeIn, felt),
|
||||
LaggedStart(FadeIn, hardwood),
|
||||
run_time = 1
|
||||
)
|
||||
self.dither()
|
||||
|
||||
#Compare regions
|
||||
dot_group1 = VGroup(
|
||||
*graph1.dots[35:75] + graph2.dots[35:75]
|
||||
)
|
||||
dot_group2 = VGroup(
|
||||
*graph1.dots[75:] + graph2.dots[75:]
|
||||
)
|
||||
dot_group3 = VGroup(
|
||||
*graph1.dots[35:] + graph2.dots[35:]
|
||||
)
|
||||
rect1 = SurroundingRectangle(dot_group1)
|
||||
rect2 = SurroundingRectangle(dot_group2)
|
||||
rect3 = SurroundingRectangle(dot_group3)
|
||||
|
||||
self.play(ShowCreation(rect1))
|
||||
for x in range(2):
|
||||
self.play(LaggedStart(
|
||||
ApplyMethod, dot_group1,
|
||||
lambda m : (m.scale_in_place, 0.5),
|
||||
rate_func = wiggle,
|
||||
lag_ratio = 0.05,
|
||||
run_time = 3,
|
||||
))
|
||||
self.dither()
|
||||
self.play(ReplacementTransform(rect1, rect2))
|
||||
for x in range(2):
|
||||
self.play(LaggedStart(
|
||||
ApplyMethod, dot_group2,
|
||||
lambda m : (m.scale_in_place, 0.5),
|
||||
rate_func = wiggle,
|
||||
lag_ratio = 0.05,
|
||||
run_time = 3,
|
||||
))
|
||||
self.dither()
|
||||
self.play(ReplacementTransform(rect1, rect3))
|
||||
for x in range(2):
|
||||
self.play(LaggedStart(
|
||||
ApplyMethod, dot_group3,
|
||||
lambda m : (m.scale_in_place, 0.5),
|
||||
rate_func = wiggle,
|
||||
lag_ratio = 0.05,
|
||||
run_time = 3,
|
||||
))
|
||||
self.dither()
|
||||
|
||||
|
||||
###
|
||||
|
||||
def color_graph(self, graph, color1 = BLUE, color2 = WHITE, n_starts = 20):
|
||||
graph.highlight(color2)
|
||||
VGroup(*graph.dots[:11] + graph.lines[:10]).highlight(color1)
|
||||
|
||||
def get_smoothed_velocity_graph(self, velocities):
|
||||
n = self.moving_average_n
|
||||
smoothed_vs = np.array([
|
||||
np.mean(velocities[max(0, i-n):i])
|
||||
for i in range(len(velocities))
|
||||
])
|
||||
return self.get_velocity_graph(smoothed_vs)
|
||||
|
||||
def get_velocity_graph(self, velocities):
|
||||
n = len(velocities)
|
||||
dots = VGroup(self.get_dot(1, velocities[0]))
|
||||
lines = VGroup()
|
||||
for x in range(1, n):
|
||||
dots.add(self.get_dot(x+1, velocities[x]))
|
||||
lines.add(Line(
|
||||
dots[-2].get_center(),
|
||||
dots[-1].get_center(),
|
||||
))
|
||||
graph = VGroup(dots, lines)
|
||||
graph.dots = dots
|
||||
graph.lines = lines
|
||||
|
||||
return graph
|
||||
|
||||
def get_dot(self, x, y):
|
||||
dot = Dot(radius = 0.05)
|
||||
dot.move_to(self.coords_to_point(
|
||||
x * float(self.x_max) / self.n_data_points, y
|
||||
))
|
||||
return dot
|
||||
|
||||
|
||||
|
||||
|
||||
class ShowAllSteadyStateVelocities(SimpleVelocityGraph):
|
||||
CONFIG = {
|
||||
"x_axis_label" : "\\text{Domino spacing}",
|
||||
|
|
|
|||
Loading…
Add table
Reference in a new issue