diff --git a/impossolid/angle-distortion.py b/impossolid/angle-distortion.py index 6a19cfc..6d600d3 100644 --- a/impossolid/angle-distortion.py +++ b/impossolid/angle-distortion.py @@ -18,8 +18,8 @@ def read_edge_distortions(filename): def find_triangles(vertices, edges): triangles = [] - for e in edges: - for v in vertices: + for e in sorted(edges): + for v in sorted(vertices): if e[1] < v: if (e[0], v) in edges and (e[1], v) in edges: triangles.append((e[0], e[1], v)) diff --git a/impossolid/twice-augmented_angle-distortions b/impossolid/twice-augmented_angle-distortions index cf03128..2a11203 100644 --- a/impossolid/twice-augmented_angle-distortions +++ b/impossolid/twice-augmented_angle-distortions @@ -1,44 +1,34 @@ 58 triangles -Triangle a_SE, b_SE, z_S - a_SE: -0.0018856502946889009° - b_SE: 0.0006966207168233041° - z_S: 0.0011890295778727022° +Triangle a_NE, a_SE, z_E + a_NE: 0.0020627780860564826° + a_SE: 5.696645881414497e-05° + z_E: -0.0021197445448706276° + +Triangle a_NE, b_NE, z_E + a_NE: 0.0017363010366011622° + b_NE: 0.00022021214437017989° + z_E: -0.001956513180971342° + +Triangle a_SE, a_SW, z_S + a_SE: -0.0021197448587955137° + a_SW: 5.696873318328244e-05° + z_S: 0.0020627761256122312° Triangle a_SE, b_SE, z_E a_SE: -0.0018856584331388149° b_SE: 0.0006966226686131449° z_E: 0.0011890357645540917° -Triangle b_SW, c_S, y_SW - b_SW: -5.415090214455631e-05° - c_S: 0.00045772681384903535° - y_SW: -0.00040357591168316276° +Triangle a_SE, b_SE, z_S + a_SE: -0.0018856502946889009° + b_SE: 0.0006966207168233041° + z_S: 0.0011890295778727022° -Triangle b_SW, c_S, z_S - b_SW: -0.0009184701495854597° - c_S: 4.448743641916053e-05° - z_S: 0.00087398271318051° - -Triangle b_SE, c_S, z_S - b_SE: -0.00016620401637368332° - c_S: 0.0011249765751415453° - z_S: -0.0009587725587678619° - -Triangle b_SE, c_S, y_SE - b_SE: -0.0008975178741081891° - c_S: 0.0006764281771083347° - y_SE: 0.00022108969701406522° - -Triangle b_SE, c_E, y_SE - b_SE: -0.000897519700536975° - c_E: 0.0006764305357691569° - y_SE: 0.0002210891647536073° - -Triangle b_SE, c_E, z_E - b_SE: -0.0001661945662831954° - c_E: 0.0011249783407549785° - z_E: -0.0009587837744717831° +Triangle a_SW, b_SW, z_S + a_SW: 0.0017363089225312933° + b_SW: 0.00022020949535317413° + z_S: -0.001956518417863151° Triangle b_NE, c_E, y_NE b_NE: -5.4156720231901545e-05° @@ -50,26 +40,116 @@ Triangle b_NE, c_E, z_E c_E: 4.450032897551637e-05° z_E: 0.0008739657117544652° -Triangle c_N, d_NE, y_NE - c_N: 7.77608707309696e-05° - d_NE: -0.0005049622408037635° - y_NE: 0.0004272013700656885° +Triangle b_NE, c_N, y_NE + b_NE: 0.00017470943667774463° + c_N: 1.7191837287100498e-08° + y_NE: -0.0001747266285079263° + +Triangle b_NW, c_N, y_NW + b_NW: 0.003928388803437599° + c_N: 1.4034125683792809e-07° + y_NW: -0.0039285291447015425° + +Triangle b_NW, c_W, y_NW + b_NW: 0.0039283900732698385° + c_W: 1.3970630163839814e-07° + y_NW: -0.0039285297795643714° + +Triangle b_SE, c_E, y_SE + b_SE: -0.000897519700536975° + c_E: 0.0006764305357691569° + y_SE: 0.0002210891647536073° + +Triangle b_SE, c_E, z_E + b_SE: -0.0001661945662831954° + c_E: 0.0011249783407549785° + z_E: -0.0009587837744717831° + +Triangle b_SE, c_S, y_SE + b_SE: -0.0008975178741081891° + c_S: 0.0006764281771083347° + y_SE: 0.00022108969701406522° + +Triangle b_SE, c_S, z_S + b_SE: -0.00016620401637368332° + c_S: 0.0011249765751415453° + z_S: -0.0009587725587678619° + +Triangle b_SW, c_S, y_SW + b_SW: -5.415090214455631e-05° + c_S: 0.00045772681384903535° + y_SW: -0.00040357591168316276° + +Triangle b_SW, c_S, z_S + b_SW: -0.0009184701495854597° + c_S: 4.448743641916053e-05° + z_S: 0.00087398271318051° + +Triangle b_SW, c_W, y_SW + b_SW: 0.00017470839824795803° + c_W: 1.6523628687536984e-08° + y_SW: -0.0001747249218624347° + +Triangle c_E, d_NE, e_E + c_E: -0.0007556600615572506° + d_NE: 0.0004914936888269494° + e_E: 0.0002641663727089849° + +Triangle c_E, d_NE, y_NE + c_E: -0.0003919462083246117° + d_NE: 0.00043446422546367103° + y_NE: -4.2518017124848484e-05° + +Triangle c_E, d_SE, e_E + c_E: 0.00022487539229842923° + d_SE: -0.0004891383069605126° + e_E: 0.000264262914654978° + +Triangle c_E, d_SE, y_SE + c_E: 0.0006690477311224186° + d_SE: -0.000219450687097833° + y_SE: -0.0004495970440387964° Triangle c_N, d_NE, e_N c_N: 0.00043802608161769285° d_NE: -0.0010442017109895119° e_N: 0.0006061756293931353° -Triangle c_N, d_NW, y_NW - c_N: -0.004392411525167006° - d_NW: 0.0009281613228964147° - y_NW: 0.0034642502022776966° +Triangle c_N, d_NE, y_NE + c_N: 7.77608707309696e-05° + d_NE: -0.0005049622408037635° + y_NE: 0.0004272013700656885° Triangle c_N, d_NW, e_N c_N: -0.0018371050143599632° d_NW: 0.0011681390506907974° e_N: 0.0006689659636691658° +Triangle c_N, d_NW, y_NW + c_N: -0.004392411525167006° + d_NW: 0.0009281613228964147° + y_NW: 0.0034642502022776966° + +Triangle c_S, d_SE, e_S + c_S: 0.00022490750998827025° + d_SE: -0.0004891581593469141° + e_S: 0.00026425064935864384° + +Triangle c_S, d_SE, y_SE + c_S: 0.0006690562241331577° + d_SE: -0.00021946896695368423° + y_SE: -0.000449587257172368° + +Triangle c_S, d_SW, e_S + c_S: -0.0007556856092989506° + d_SW: 0.0004915334549480121° + e_S: 0.0002641521543509384° + +Triangle c_S, d_SW, y_SW + c_S: -0.0003919572288921813° + d_SW: 0.00043448701768511455° + y_SW: -4.252978876451152e-05° + Triangle c_W, d_NW, e_W c_W: -0.0018371356879498535° d_NW: 0.0011681941726706668° @@ -90,45 +170,10 @@ Triangle c_W, d_SW, y_SW d_SW: -0.0005049885038488355° y_SW: 0.00042721382367005845° -Triangle c_S, d_SW, y_SW - c_S: -0.0003919572288921813° - d_SW: 0.00043448701768511455° - y_SW: -4.252978876451152e-05° - -Triangle c_S, d_SW, e_S - c_S: -0.0007556856092989506° - d_SW: 0.0004915334549480121° - e_S: 0.0002641521543509384° - -Triangle c_S, d_SE, y_SE - c_S: 0.0006690562241331577° - d_SE: -0.00021946896695368423° - y_SE: -0.000449587257172368° - -Triangle c_S, d_SE, e_S - c_S: 0.00022490750998827025° - d_SE: -0.0004891581593469141° - e_S: 0.00026425064935864384° - -Triangle c_E, d_SE, y_SE - c_E: 0.0006690477311224186° - d_SE: -0.000219450687097833° - y_SE: -0.0004495970440387964° - -Triangle c_E, d_SE, e_E - c_E: 0.00022487539229842923° - d_SE: -0.0004891383069605126° - e_E: 0.000264262914654978° - -Triangle c_E, d_NE, y_NE - c_E: -0.0003919462083246117° - d_NE: 0.00043446422546367103° - y_NE: -4.2518017124848484e-05° - -Triangle c_E, d_NE, e_E - c_E: -0.0007556600615572506° - d_NE: 0.0004914936888269494° - e_E: 0.0002641663727089849° +Triangle d_NE, e_E, f_NE + d_NE: 0.00038569630375207° + e_E: -0.0003446839119192191° + f_NE: -4.1012391825745453e-05° Triangle d_NE, e_N, f_NE d_NE: 3.4118590889420375e-05° @@ -145,30 +190,40 @@ Triangle d_NW, e_W, f_NW e_W: -0.0009787888926879873° f_NW: -0.00030057569104258164° -Triangle d_SW, e_W, f_SW - d_SW: 3.4104280807412124e-05° - e_W: 0.0004912649981676509° - f_SW: -0.0005253692789679576° - -Triangle d_SW, e_S, f_SW - d_SW: 0.0003857085871175059° - e_S: -0.00034470395510055596° - f_SW: -4.10046320098445e-05° +Triangle d_SE, e_E, f_SE + d_SE: -7.914704212907964e-06° + e_E: 0.0002723375437980735° + f_SE: -0.00026442283958516555° Triangle d_SE, e_S, f_SE d_SE: -7.92374907376825e-06° e_S: 0.0002723546649647801° f_SE: -0.00026443091589101186° -Triangle d_SE, e_E, f_SE - d_SE: -7.914704212907964e-06° - e_E: 0.0002723375437980735° - f_SE: -0.00026442283958516555° +Triangle d_SW, e_S, f_SW + d_SW: 0.0003857085871175059° + e_S: -0.00034470395510055596° + f_SW: -4.10046320098445e-05° -Triangle d_NE, e_E, f_NE - d_NE: 0.00038569630375207° - e_E: -0.0003446839119192191° - f_NE: -4.1012391825745453e-05° +Triangle d_SW, e_W, f_SW + d_SW: 3.4104280807412124e-05° + e_W: 0.0004912649981676509° + f_SW: -0.0005253692789679576° + +Triangle e_E, f_NE, g_ENE + e_E: -0.00015088143299379908° + f_NE: -4.437100798782012e-06° + g_ENE: 0.0001553185337925811° + +Triangle e_E, f_SE, g_ESE + e_E: -5.289010589137888e-05° + f_SE: 0.00010994821870013993° + g_ESE: -5.705811280876105e-05° + +Triangle e_E, g_ENE, g_ESE + e_E: -7.744546709176348e-05° + g_ENE: 0.0002171941456126092° + g_ESE: -0.000139748678492424° Triangle e_N, f_NE, g_NNE e_N: -0.00011644664380128233° @@ -180,6 +235,26 @@ Triangle e_N, f_NW, g_NNW f_NW: 0.000436599482547706° g_NNW: 0.00012971776202874707° +Triangle e_N, g_NNE, g_NNW + e_N: 1.3987573481699656e-06° + g_NNE: -0.00034080770834776786° + g_NNW: 0.0003394089509995979° + +Triangle e_S, f_SE, g_SSE + e_S: -5.28844724030364e-05° + f_SE: 0.00010995296653959485° + g_SSE: -5.706849415076931e-05° + +Triangle e_S, f_SW, g_SSW + e_S: -0.00015088330234647174° + f_SW: -4.434221558824447e-06° + g_SSW: 0.00015531752390529618° + +Triangle e_S, g_SSE, g_SSW + e_S: -7.743940860649445e-05° + g_SSE: -0.00013975871755889102° + g_SSW: 0.00021719812617959633° + Triangle e_W, f_NW, g_WNW e_W: -0.0005663163395084325° f_NW: 0.00043660275473200727° @@ -190,25 +265,10 @@ Triangle e_W, f_SW, g_WSW f_SW: 0.0003631626645272945° g_WSW: -0.000246728634124338° -Triangle e_S, f_SW, g_SSW - e_S: -0.00015088330234647174° - f_SW: -4.434221558824447e-06° - g_SSW: 0.00015531752390529618° - -Triangle e_S, f_SE, g_SSE - e_S: -5.28844724030364e-05° - f_SE: 0.00010995296653959485° - g_SSE: -5.706849415076931e-05° - -Triangle e_E, f_SE, g_ESE - e_E: -5.289010589137888e-05° - f_SE: 0.00010994821870013993° - g_ESE: -5.705811280876105e-05° - -Triangle e_E, f_NE, g_ENE - e_E: -0.00015088143299379908° - f_NE: -4.437100798782012e-06° - g_ENE: 0.0001553185337925811° +Triangle e_W, g_WNW, g_WSW + e_W: 1.4097619143171869e-06° + g_WNW: 0.0003394137133483355° + g_WSW: -0.00034082347526265266° Triangle f_NE, g_ENE, g_NNE f_NE: 7.450149718835064e-05° @@ -220,75 +280,15 @@ Triangle f_NW, g_NNW, g_WNW g_NNW: -0.00011934432004778728° g_WNW: -0.00011934547999459255° -Triangle f_SW, g_SSW, g_WSW - f_SW: 7.450129267994043e-05° - g_SSW: 6.293716665339844e-05° - g_WSW: -0.00013743845931912801° - Triangle f_SE, g_ESE, g_SSE f_SE: 3.87570213717936e-05° g_ESE: -1.937846930388787e-05° g_SSE: -1.9378552060800303e-05° -Triangle e_N, g_NNE, g_NNW - e_N: 1.3987573481699656e-06° - g_NNE: -0.00034080770834776786° - g_NNW: 0.0003394089509995979° - -Triangle e_W, g_WNW, g_WSW - e_W: 1.4097619143171869e-06° - g_WNW: 0.0003394137133483355° - g_WSW: -0.00034082347526265266° - -Triangle e_S, g_SSE, g_SSW - e_S: -7.743940860649445e-05° - g_SSE: -0.00013975871755889102° - g_SSW: 0.00021719812617959633° - -Triangle e_E, g_ENE, g_ESE - e_E: -7.744546709176348e-05° - g_ENE: 0.0002171941456126092° - g_ESE: -0.000139748678492424° - -Triangle a_SE, a_SW, z_S - a_SE: -0.0021197448587955137° - a_SW: 5.696873318328244e-05° - z_S: 0.0020627761256122312° - -Triangle a_NE, a_SE, z_E - a_NE: 0.0020627780860564826° - a_SE: 5.696645881414497e-05° - z_E: -0.0021197445448706276° - -Triangle a_NE, b_NE, z_E - a_NE: 0.0017363010366011622° - b_NE: 0.00022021214437017989° - z_E: -0.001956513180971342° - -Triangle a_SW, b_SW, z_S - a_SW: 0.0017363089225312933° - b_SW: 0.00022020949535317413° - z_S: -0.001956518417863151° - -Triangle b_NE, c_N, y_NE - b_NE: 0.00017470943667774463° - c_N: 1.7191837287100498e-08° - y_NE: -0.0001747266285079263° - -Triangle b_NW, c_N, y_NW - b_NW: 0.003928388803437599° - c_N: 1.4034125683792809e-07° - y_NW: -0.0039285291447015425° - -Triangle b_NW, c_W, y_NW - b_NW: 0.0039283900732698385° - c_W: 1.3970630163839814e-07° - y_NW: -0.0039285297795643714° - -Triangle b_SW, c_W, y_SW - b_SW: 0.00017470839824795803° - c_W: 1.6523628687536984e-08° - y_SW: -0.0001747249218624347° +Triangle f_SW, g_SSW, g_WSW + f_SW: 7.450129267994043e-05° + g_SSW: 6.293716665339844e-05° + g_WSW: -0.00013743845931912801° Total angle distortion: 0.11233054610809035° Highest angle distortion: 0.0039283900732698385°