From de4c2ef4821b480fec72f1056c076670f15dc991 Mon Sep 17 00:00:00 2001 From: Aaron Fenyes Date: Mon, 29 Sep 2025 17:37:17 -0700 Subject: [PATCH] Correct mixed-up angles The angle distortions at the second and third vertices in each triangle seem to have been mixed up in the previous commit. I've checked, for a few triangles, that the output of this commit is consistent with the law of sines. --- impossolid/angle-distortion.py | 2 +- impossolid/twice-augmented_angle-distortions | 232 +++++++++---------- 2 files changed, 117 insertions(+), 117 deletions(-) diff --git a/impossolid/angle-distortion.py b/impossolid/angle-distortion.py index 6d600d3..084a231 100644 --- a/impossolid/angle-distortion.py +++ b/impossolid/angle-distortion.py @@ -44,7 +44,7 @@ if __name__ == '__main__': for t in triangles: print('Triangle {0}, {1}, {2}'.format(t[0], t[1], t[2])) edge_distortions = collections.deque( - [distortions[(t[j], t[k])] for (j, k) in [(1, 2), (0, 2), (0, 1)]] + [distortions[(t[j], t[k])] for (j, k) in [(1, 2), (0, 1), (0, 2)]] ) for k in range(3): ang_distort = angle_distortion(edge_distortions) diff --git a/impossolid/twice-augmented_angle-distortions b/impossolid/twice-augmented_angle-distortions index 2a11203..07ffffc 100644 --- a/impossolid/twice-augmented_angle-distortions +++ b/impossolid/twice-augmented_angle-distortions @@ -2,293 +2,293 @@ Triangle a_NE, a_SE, z_E a_NE: 0.0020627780860564826° - a_SE: 5.696645881414497e-05° - z_E: -0.0021197445448706276° + a_SE: -0.0021197445448706276° + z_E: 5.696645881414497e-05° Triangle a_NE, b_NE, z_E a_NE: 0.0017363010366011622° - b_NE: 0.00022021214437017989° - z_E: -0.001956513180971342° + b_NE: -0.001956513180971342° + z_E: 0.00022021214437017989° Triangle a_SE, a_SW, z_S a_SE: -0.0021197448587955137° - a_SW: 5.696873318328244e-05° - z_S: 0.0020627761256122312° + a_SW: 0.0020627761256122312° + z_S: 5.696873318328244e-05° Triangle a_SE, b_SE, z_E a_SE: -0.0018856584331388149° - b_SE: 0.0006966226686131449° - z_E: 0.0011890357645540917° + b_SE: 0.0011890357645540917° + z_E: 0.0006966226686131449° Triangle a_SE, b_SE, z_S a_SE: -0.0018856502946889009° - b_SE: 0.0006966207168233041° - z_S: 0.0011890295778727022° + b_SE: 0.0011890295778727022° + z_S: 0.0006966207168233041° Triangle a_SW, b_SW, z_S a_SW: 0.0017363089225312933° - b_SW: 0.00022020949535317413° - z_S: -0.001956518417863151° + b_SW: -0.001956518417863151° + z_S: 0.00022020949535317413° Triangle b_NE, c_E, y_NE b_NE: -5.4156720231901545e-05° - c_E: 0.00045774058987291255° - y_NE: -0.00040358386964811643° + c_E: -0.00040358386964811643° + y_NE: 0.00045774058987291255° Triangle b_NE, c_E, z_E b_NE: -0.0009184660407299816° - c_E: 4.450032897551637e-05° - z_E: 0.0008739657117544652° + c_E: 0.0008739657117544652° + z_E: 4.450032897551637e-05° Triangle b_NE, c_N, y_NE b_NE: 0.00017470943667774463° - c_N: 1.7191837287100498e-08° - y_NE: -0.0001747266285079263° + c_N: -0.0001747266285079263° + y_NE: 1.7191837287100498e-08° Triangle b_NW, c_N, y_NW b_NW: 0.003928388803437599° - c_N: 1.4034125683792809e-07° - y_NW: -0.0039285291447015425° + c_N: -0.0039285291447015425° + y_NW: 1.4034125683792809e-07° Triangle b_NW, c_W, y_NW b_NW: 0.0039283900732698385° - c_W: 1.3970630163839814e-07° - y_NW: -0.0039285297795643714° + c_W: -0.0039285297795643714° + y_NW: 1.3970630163839814e-07° Triangle b_SE, c_E, y_SE b_SE: -0.000897519700536975° - c_E: 0.0006764305357691569° - y_SE: 0.0002210891647536073° + c_E: 0.0002210891647536073° + y_SE: 0.0006764305357691569° Triangle b_SE, c_E, z_E b_SE: -0.0001661945662831954° - c_E: 0.0011249783407549785° - z_E: -0.0009587837744717831° + c_E: -0.0009587837744717831° + z_E: 0.0011249783407549785° Triangle b_SE, c_S, y_SE b_SE: -0.0008975178741081891° - c_S: 0.0006764281771083347° - y_SE: 0.00022108969701406522° + c_S: 0.00022108969701406522° + y_SE: 0.0006764281771083347° Triangle b_SE, c_S, z_S b_SE: -0.00016620401637368332° - c_S: 0.0011249765751415453° - z_S: -0.0009587725587678619° + c_S: -0.0009587725587678619° + z_S: 0.0011249765751415453° Triangle b_SW, c_S, y_SW b_SW: -5.415090214455631e-05° - c_S: 0.00045772681384903535° - y_SW: -0.00040357591168316276° + c_S: -0.00040357591168316276° + y_SW: 0.00045772681384903535° Triangle b_SW, c_S, z_S b_SW: -0.0009184701495854597° - c_S: 4.448743641916053e-05° - z_S: 0.00087398271318051° + c_S: 0.00087398271318051° + z_S: 4.448743641916053e-05° Triangle b_SW, c_W, y_SW b_SW: 0.00017470839824795803° - c_W: 1.6523628687536984e-08° - y_SW: -0.0001747249218624347° + c_W: -0.0001747249218624347° + y_SW: 1.6523628687536984e-08° Triangle c_E, d_NE, e_E c_E: -0.0007556600615572506° - d_NE: 0.0004914936888269494° - e_E: 0.0002641663727089849° + d_NE: 0.0002641663727089849° + e_E: 0.0004914936888269494° Triangle c_E, d_NE, y_NE c_E: -0.0003919462083246117° - d_NE: 0.00043446422546367103° - y_NE: -4.2518017124848484e-05° + d_NE: -4.2518017124848484e-05° + y_NE: 0.00043446422546367103° Triangle c_E, d_SE, e_E c_E: 0.00022487539229842923° - d_SE: -0.0004891383069605126° - e_E: 0.000264262914654978° + d_SE: 0.000264262914654978° + e_E: -0.0004891383069605126° Triangle c_E, d_SE, y_SE c_E: 0.0006690477311224186° - d_SE: -0.000219450687097833° - y_SE: -0.0004495970440387964° + d_SE: -0.0004495970440387964° + y_SE: -0.000219450687097833° Triangle c_N, d_NE, e_N c_N: 0.00043802608161769285° - d_NE: -0.0010442017109895119° - e_N: 0.0006061756293931353° + d_NE: 0.0006061756293931353° + e_N: -0.0010442017109895119° Triangle c_N, d_NE, y_NE c_N: 7.77608707309696e-05° - d_NE: -0.0005049622408037635° - y_NE: 0.0004272013700656885° + d_NE: 0.0004272013700656885° + y_NE: -0.0005049622408037635° Triangle c_N, d_NW, e_N c_N: -0.0018371050143599632° - d_NW: 0.0011681390506907974° - e_N: 0.0006689659636691658° + d_NW: 0.0006689659636691658° + e_N: 0.0011681390506907974° Triangle c_N, d_NW, y_NW c_N: -0.004392411525167006° - d_NW: 0.0009281613228964147° - y_NW: 0.0034642502022776966° + d_NW: 0.0034642502022776966° + y_NW: 0.0009281613228964147° Triangle c_S, d_SE, e_S c_S: 0.00022490750998827025° - d_SE: -0.0004891581593469141° - e_S: 0.00026425064935864384° + d_SE: 0.00026425064935864384° + e_S: -0.0004891581593469141° Triangle c_S, d_SE, y_SE c_S: 0.0006690562241331577° - d_SE: -0.00021946896695368423° - y_SE: -0.000449587257172368° + d_SE: -0.000449587257172368° + y_SE: -0.00021946896695368423° Triangle c_S, d_SW, e_S c_S: -0.0007556856092989506° - d_SW: 0.0004915334549480121° - e_S: 0.0002641521543509384° + d_SW: 0.0002641521543509384° + e_S: 0.0004915334549480121° Triangle c_S, d_SW, y_SW c_S: -0.0003919572288921813° - d_SW: 0.00043448701768511455° - y_SW: -4.252978876451152e-05° + d_SW: -4.252978876451152e-05° + y_SW: 0.00043448701768511455° Triangle c_W, d_NW, e_W c_W: -0.0018371356879498535° - d_NW: 0.0011681941726706668° - e_W: 0.0006689415152791867° + d_NW: 0.0006689415152791867° + e_W: 0.0011681941726706668° Triangle c_W, d_NW, y_NW c_W: -0.00439242709246912° - d_NW: 0.000928190557552° - y_NW: 0.00346423653491712° + d_NW: 0.00346423653491712° + y_NW: 0.000928190557552° Triangle c_W, d_SW, e_W c_W: 0.0004380758375859273° - d_SW: -0.0010442287499685676° - e_W: 0.0006061529123826404° + d_SW: 0.0006061529123826404° + e_W: -0.0010442287499685676° Triangle c_W, d_SW, y_SW c_W: 7.777468017877709e-05° - d_SW: -0.0005049885038488355° - y_SW: 0.00042721382367005845° + d_SW: 0.00042721382367005845° + y_SW: -0.0005049885038488355° Triangle d_NE, e_E, f_NE d_NE: 0.00038569630375207° - e_E: -0.0003446839119192191° - f_NE: -4.1012391825745453e-05° + e_E: -4.1012391825745453e-05° + f_NE: -0.0003446839119192191° Triangle d_NE, e_N, f_NE d_NE: 3.4118590889420375e-05° - e_N: 0.0004912376328576329° - f_NE: -0.0005253562237612641° + e_N: -0.0005253562237612641° + f_NE: 0.0004912376328576329° Triangle d_NW, e_N, f_NW d_NW: 0.0012793501149417352° - e_N: -0.0009787611630969195° - f_NW: -0.0003005889518448157° + e_N: -0.0003005889518448157° + f_NW: -0.0009787611630969195° Triangle d_NW, e_W, f_NW d_NW: 0.0012793645837376744° - e_W: -0.0009787888926879873° - f_NW: -0.00030057569104258164° + e_W: -0.00030057569104258164° + f_NW: -0.0009787888926879873° Triangle d_SE, e_E, f_SE d_SE: -7.914704212907964e-06° - e_E: 0.0002723375437980735° - f_SE: -0.00026442283958516555° + e_E: -0.00026442283958516555° + f_SE: 0.0002723375437980735° Triangle d_SE, e_S, f_SE d_SE: -7.92374907376825e-06° - e_S: 0.0002723546649647801° - f_SE: -0.00026443091589101186° + e_S: -0.00026443091589101186° + f_SE: 0.0002723546649647801° Triangle d_SW, e_S, f_SW d_SW: 0.0003857085871175059° - e_S: -0.00034470395510055596° - f_SW: -4.10046320098445e-05° + e_S: -4.10046320098445e-05° + f_SW: -0.00034470395510055596° Triangle d_SW, e_W, f_SW d_SW: 3.4104280807412124e-05° - e_W: 0.0004912649981676509° - f_SW: -0.0005253692789679576° + e_W: -0.0005253692789679576° + f_SW: 0.0004912649981676509° Triangle e_E, f_NE, g_ENE e_E: -0.00015088143299379908° - f_NE: -4.437100798782012e-06° - g_ENE: 0.0001553185337925811° + f_NE: 0.0001553185337925811° + g_ENE: -4.437100798782012e-06° Triangle e_E, f_SE, g_ESE e_E: -5.289010589137888e-05° - f_SE: 0.00010994821870013993° - g_ESE: -5.705811280876105e-05° + f_SE: -5.705811280876105e-05° + g_ESE: 0.00010994821870013993° Triangle e_E, g_ENE, g_ESE e_E: -7.744546709176348e-05° - g_ENE: 0.0002171941456126092° - g_ESE: -0.000139748678492424° + g_ENE: -0.000139748678492424° + g_ESE: 0.0002171941456126092° Triangle e_N, f_NE, g_NNE e_N: -0.00011644664380128233° - f_NE: 0.000363157568820327° - g_NNE: -0.0002467109250190447° + f_NE: -0.0002467109250190447° + g_NNE: 0.000363157568820327° Triangle e_N, f_NW, g_NNW e_N: -0.0005663172445693476° - f_NW: 0.000436599482547706° - g_NNW: 0.00012971776202874707° + f_NW: 0.00012971776202874707° + g_NNW: 0.000436599482547706° Triangle e_N, g_NNE, g_NNW e_N: 1.3987573481699656e-06° - g_NNE: -0.00034080770834776786° - g_NNW: 0.0003394089509995979° + g_NNE: 0.0003394089509995979° + g_NNW: -0.00034080770834776786° Triangle e_S, f_SE, g_SSE e_S: -5.28844724030364e-05° - f_SE: 0.00010995296653959485° - g_SSE: -5.706849415076931e-05° + f_SE: -5.706849415076931e-05° + g_SSE: 0.00010995296653959485° Triangle e_S, f_SW, g_SSW e_S: -0.00015088330234647174° - f_SW: -4.434221558824447e-06° - g_SSW: 0.00015531752390529618° + f_SW: 0.00015531752390529618° + g_SSW: -4.434221558824447e-06° Triangle e_S, g_SSE, g_SSW e_S: -7.743940860649445e-05° - g_SSE: -0.00013975871755889102° - g_SSW: 0.00021719812617959633° + g_SSE: 0.00021719812617959633° + g_SSW: -0.00013975871755889102° Triangle e_W, f_NW, g_WNW e_W: -0.0005663163395084325° - f_NW: 0.00043660275473200727° - g_WNW: 0.00012971358477642525° + f_NW: 0.00012971358477642525° + g_WNW: 0.00043660275473200727° Triangle e_W, f_SW, g_WSW e_W: -0.00011643403040295652° - f_SW: 0.0003631626645272945° - g_WSW: -0.000246728634124338° + f_SW: -0.000246728634124338° + g_WSW: 0.0003631626645272945° Triangle e_W, g_WNW, g_WSW e_W: 1.4097619143171869e-06° - g_WNW: 0.0003394137133483355° - g_WSW: -0.00034082347526265266° + g_WNW: -0.00034082347526265266° + g_WSW: 0.0003394137133483355° Triangle f_NE, g_ENE, g_NNE f_NE: 7.450149718835064e-05° - g_ENE: 6.294030865205968e-05° - g_NNE: -0.00013744180584041032° + g_ENE: -0.00013744180584041032° + g_NNE: 6.294030865205968e-05° Triangle f_NW, g_NNW, g_WNW f_NW: 0.00023868980004237983° - g_NNW: -0.00011934432004778728° - g_WNW: -0.00011934547999459255° + g_NNW: -0.00011934547999459255° + g_WNW: -0.00011934432004778728° Triangle f_SE, g_ESE, g_SSE f_SE: 3.87570213717936e-05° - g_ESE: -1.937846930388787e-05° - g_SSE: -1.9378552060800303e-05° + g_ESE: -1.9378552060800303e-05° + g_SSE: -1.937846930388787e-05° Triangle f_SW, g_SSW, g_WSW f_SW: 7.450129267994043e-05° - g_SSW: 6.293716665339844e-05° - g_WSW: -0.00013743845931912801° + g_SSW: -0.00013743845931912801° + g_WSW: 6.293716665339844e-05° Total angle distortion: 0.11233054610809035° Highest angle distortion: 0.0039283900732698385°