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.
This commit is contained in:
Aaron Fenyes
parent
a309870968
commit
de4c2ef482
2 changed files with 117 additions and 117 deletions
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@ -44,7 +44,7 @@ if __name__ == '__main__':
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for t in triangles:
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for t in triangles:
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print('Triangle {0}, {1}, {2}'.format(t[0], t[1], t[2]))
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print('Triangle {0}, {1}, {2}'.format(t[0], t[1], t[2]))
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edge_distortions = collections.deque(
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edge_distortions = collections.deque(
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[distortions[(t[j], t[k])] for (j, k) in [(1, 2), (0, 2), (0, 1)]]
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[distortions[(t[j], t[k])] for (j, k) in [(1, 2), (0, 1), (0, 2)]]
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)
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)
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for k in range(3):
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for k in range(3):
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ang_distort = angle_distortion(edge_distortions)
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ang_distort = angle_distortion(edge_distortions)
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@ -2,293 +2,293 @@
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Triangle a_NE, a_SE, z_E
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Triangle a_NE, a_SE, z_E
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a_NE: 0.0020627780860564826°
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a_NE: 0.0020627780860564826°
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a_SE: 5.696645881414497e-05°
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a_SE: -0.0021197445448706276°
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z_E: -0.0021197445448706276°
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z_E: 5.696645881414497e-05°
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Triangle a_NE, b_NE, z_E
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Triangle a_NE, b_NE, z_E
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a_NE: 0.0017363010366011622°
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a_NE: 0.0017363010366011622°
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b_NE: 0.00022021214437017989°
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b_NE: -0.001956513180971342°
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z_E: -0.001956513180971342°
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z_E: 0.00022021214437017989°
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Triangle a_SE, a_SW, z_S
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Triangle a_SE, a_SW, z_S
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a_SE: -0.0021197448587955137°
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a_SE: -0.0021197448587955137°
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a_SW: 5.696873318328244e-05°
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a_SW: 0.0020627761256122312°
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z_S: 0.0020627761256122312°
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z_S: 5.696873318328244e-05°
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Triangle a_SE, b_SE, z_E
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Triangle a_SE, b_SE, z_E
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a_SE: -0.0018856584331388149°
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a_SE: -0.0018856584331388149°
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b_SE: 0.0006966226686131449°
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b_SE: 0.0011890357645540917°
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z_E: 0.0011890357645540917°
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z_E: 0.0006966226686131449°
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Triangle a_SE, b_SE, z_S
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Triangle a_SE, b_SE, z_S
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a_SE: -0.0018856502946889009°
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a_SE: -0.0018856502946889009°
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b_SE: 0.0006966207168233041°
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b_SE: 0.0011890295778727022°
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z_S: 0.0011890295778727022°
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z_S: 0.0006966207168233041°
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Triangle a_SW, b_SW, z_S
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Triangle a_SW, b_SW, z_S
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a_SW: 0.0017363089225312933°
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a_SW: 0.0017363089225312933°
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b_SW: 0.00022020949535317413°
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b_SW: -0.001956518417863151°
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z_S: -0.001956518417863151°
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z_S: 0.00022020949535317413°
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Triangle b_NE, c_E, y_NE
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Triangle b_NE, c_E, y_NE
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b_NE: -5.4156720231901545e-05°
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b_NE: -5.4156720231901545e-05°
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c_E: 0.00045774058987291255°
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c_E: -0.00040358386964811643°
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y_NE: -0.00040358386964811643°
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y_NE: 0.00045774058987291255°
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Triangle b_NE, c_E, z_E
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Triangle b_NE, c_E, z_E
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b_NE: -0.0009184660407299816°
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b_NE: -0.0009184660407299816°
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c_E: 4.450032897551637e-05°
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c_E: 0.0008739657117544652°
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z_E: 0.0008739657117544652°
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z_E: 4.450032897551637e-05°
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Triangle b_NE, c_N, y_NE
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Triangle b_NE, c_N, y_NE
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b_NE: 0.00017470943667774463°
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b_NE: 0.00017470943667774463°
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c_N: 1.7191837287100498e-08°
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c_N: -0.0001747266285079263°
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y_NE: -0.0001747266285079263°
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y_NE: 1.7191837287100498e-08°
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Triangle b_NW, c_N, y_NW
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Triangle b_NW, c_N, y_NW
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b_NW: 0.003928388803437599°
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b_NW: 0.003928388803437599°
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c_N: 1.4034125683792809e-07°
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c_N: -0.0039285291447015425°
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y_NW: -0.0039285291447015425°
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y_NW: 1.4034125683792809e-07°
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Triangle b_NW, c_W, y_NW
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Triangle b_NW, c_W, y_NW
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b_NW: 0.0039283900732698385°
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b_NW: 0.0039283900732698385°
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c_W: 1.3970630163839814e-07°
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c_W: -0.0039285297795643714°
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y_NW: -0.0039285297795643714°
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y_NW: 1.3970630163839814e-07°
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Triangle b_SE, c_E, y_SE
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Triangle b_SE, c_E, y_SE
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b_SE: -0.000897519700536975°
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b_SE: -0.000897519700536975°
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c_E: 0.0006764305357691569°
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c_E: 0.0002210891647536073°
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y_SE: 0.0002210891647536073°
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y_SE: 0.0006764305357691569°
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Triangle b_SE, c_E, z_E
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Triangle b_SE, c_E, z_E
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b_SE: -0.0001661945662831954°
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b_SE: -0.0001661945662831954°
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c_E: 0.0011249783407549785°
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c_E: -0.0009587837744717831°
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z_E: -0.0009587837744717831°
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z_E: 0.0011249783407549785°
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Triangle b_SE, c_S, y_SE
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Triangle b_SE, c_S, y_SE
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b_SE: -0.0008975178741081891°
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b_SE: -0.0008975178741081891°
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c_S: 0.0006764281771083347°
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c_S: 0.00022108969701406522°
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y_SE: 0.00022108969701406522°
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y_SE: 0.0006764281771083347°
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Triangle b_SE, c_S, z_S
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Triangle b_SE, c_S, z_S
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b_SE: -0.00016620401637368332°
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b_SE: -0.00016620401637368332°
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c_S: 0.0011249765751415453°
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c_S: -0.0009587725587678619°
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z_S: -0.0009587725587678619°
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z_S: 0.0011249765751415453°
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Triangle b_SW, c_S, y_SW
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Triangle b_SW, c_S, y_SW
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b_SW: -5.415090214455631e-05°
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b_SW: -5.415090214455631e-05°
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c_S: 0.00045772681384903535°
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c_S: -0.00040357591168316276°
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y_SW: -0.00040357591168316276°
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y_SW: 0.00045772681384903535°
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Triangle b_SW, c_S, z_S
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Triangle b_SW, c_S, z_S
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b_SW: -0.0009184701495854597°
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b_SW: -0.0009184701495854597°
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c_S: 4.448743641916053e-05°
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c_S: 0.00087398271318051°
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z_S: 0.00087398271318051°
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z_S: 4.448743641916053e-05°
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Triangle b_SW, c_W, y_SW
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Triangle b_SW, c_W, y_SW
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b_SW: 0.00017470839824795803°
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b_SW: 0.00017470839824795803°
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c_W: 1.6523628687536984e-08°
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c_W: -0.0001747249218624347°
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y_SW: -0.0001747249218624347°
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y_SW: 1.6523628687536984e-08°
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Triangle c_E, d_NE, e_E
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Triangle c_E, d_NE, e_E
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c_E: -0.0007556600615572506°
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c_E: -0.0007556600615572506°
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d_NE: 0.0004914936888269494°
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d_NE: 0.0002641663727089849°
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e_E: 0.0002641663727089849°
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e_E: 0.0004914936888269494°
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Triangle c_E, d_NE, y_NE
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Triangle c_E, d_NE, y_NE
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c_E: -0.0003919462083246117°
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c_E: -0.0003919462083246117°
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d_NE: 0.00043446422546367103°
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d_NE: -4.2518017124848484e-05°
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y_NE: -4.2518017124848484e-05°
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y_NE: 0.00043446422546367103°
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Triangle c_E, d_SE, e_E
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Triangle c_E, d_SE, e_E
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c_E: 0.00022487539229842923°
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c_E: 0.00022487539229842923°
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d_SE: -0.0004891383069605126°
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d_SE: 0.000264262914654978°
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e_E: 0.000264262914654978°
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e_E: -0.0004891383069605126°
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Triangle c_E, d_SE, y_SE
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Triangle c_E, d_SE, y_SE
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c_E: 0.0006690477311224186°
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c_E: 0.0006690477311224186°
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d_SE: -0.000219450687097833°
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d_SE: -0.0004495970440387964°
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y_SE: -0.0004495970440387964°
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y_SE: -0.000219450687097833°
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Triangle c_N, d_NE, e_N
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Triangle c_N, d_NE, e_N
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c_N: 0.00043802608161769285°
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c_N: 0.00043802608161769285°
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d_NE: -0.0010442017109895119°
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d_NE: 0.0006061756293931353°
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e_N: 0.0006061756293931353°
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e_N: -0.0010442017109895119°
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Triangle c_N, d_NE, y_NE
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Triangle c_N, d_NE, y_NE
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c_N: 7.77608707309696e-05°
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c_N: 7.77608707309696e-05°
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d_NE: -0.0005049622408037635°
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d_NE: 0.0004272013700656885°
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y_NE: 0.0004272013700656885°
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y_NE: -0.0005049622408037635°
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Triangle c_N, d_NW, e_N
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Triangle c_N, d_NW, e_N
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c_N: -0.0018371050143599632°
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c_N: -0.0018371050143599632°
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d_NW: 0.0011681390506907974°
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d_NW: 0.0006689659636691658°
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e_N: 0.0006689659636691658°
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e_N: 0.0011681390506907974°
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Triangle c_N, d_NW, y_NW
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Triangle c_N, d_NW, y_NW
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c_N: -0.004392411525167006°
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c_N: -0.004392411525167006°
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d_NW: 0.0009281613228964147°
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d_NW: 0.0034642502022776966°
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y_NW: 0.0034642502022776966°
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y_NW: 0.0009281613228964147°
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Triangle c_S, d_SE, e_S
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Triangle c_S, d_SE, e_S
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c_S: 0.00022490750998827025°
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c_S: 0.00022490750998827025°
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d_SE: -0.0004891581593469141°
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d_SE: 0.00026425064935864384°
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e_S: 0.00026425064935864384°
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e_S: -0.0004891581593469141°
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Triangle c_S, d_SE, y_SE
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Triangle c_S, d_SE, y_SE
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c_S: 0.0006690562241331577°
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c_S: 0.0006690562241331577°
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d_SE: -0.00021946896695368423°
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d_SE: -0.000449587257172368°
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y_SE: -0.000449587257172368°
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y_SE: -0.00021946896695368423°
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Triangle c_S, d_SW, e_S
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Triangle c_S, d_SW, e_S
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c_S: -0.0007556856092989506°
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c_S: -0.0007556856092989506°
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d_SW: 0.0004915334549480121°
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d_SW: 0.0002641521543509384°
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e_S: 0.0002641521543509384°
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e_S: 0.0004915334549480121°
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Triangle c_S, d_SW, y_SW
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Triangle c_S, d_SW, y_SW
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c_S: -0.0003919572288921813°
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c_S: -0.0003919572288921813°
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d_SW: 0.00043448701768511455°
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d_SW: -4.252978876451152e-05°
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y_SW: -4.252978876451152e-05°
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y_SW: 0.00043448701768511455°
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Triangle c_W, d_NW, e_W
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Triangle c_W, d_NW, e_W
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c_W: -0.0018371356879498535°
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c_W: -0.0018371356879498535°
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d_NW: 0.0011681941726706668°
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d_NW: 0.0006689415152791867°
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e_W: 0.0006689415152791867°
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e_W: 0.0011681941726706668°
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Triangle c_W, d_NW, y_NW
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Triangle c_W, d_NW, y_NW
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c_W: -0.00439242709246912°
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c_W: -0.00439242709246912°
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d_NW: 0.000928190557552°
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d_NW: 0.00346423653491712°
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y_NW: 0.00346423653491712°
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y_NW: 0.000928190557552°
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Triangle c_W, d_SW, e_W
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Triangle c_W, d_SW, e_W
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c_W: 0.0004380758375859273°
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c_W: 0.0004380758375859273°
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d_SW: -0.0010442287499685676°
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d_SW: 0.0006061529123826404°
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e_W: 0.0006061529123826404°
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e_W: -0.0010442287499685676°
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Triangle c_W, d_SW, y_SW
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Triangle c_W, d_SW, y_SW
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c_W: 7.777468017877709e-05°
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c_W: 7.777468017877709e-05°
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d_SW: -0.0005049885038488355°
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d_SW: 0.00042721382367005845°
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y_SW: 0.00042721382367005845°
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y_SW: -0.0005049885038488355°
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Triangle d_NE, e_E, f_NE
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Triangle d_NE, e_E, f_NE
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d_NE: 0.00038569630375207°
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d_NE: 0.00038569630375207°
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e_E: -0.0003446839119192191°
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e_E: -4.1012391825745453e-05°
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f_NE: -4.1012391825745453e-05°
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f_NE: -0.0003446839119192191°
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Triangle d_NE, e_N, f_NE
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Triangle d_NE, e_N, f_NE
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d_NE: 3.4118590889420375e-05°
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d_NE: 3.4118590889420375e-05°
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e_N: 0.0004912376328576329°
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e_N: -0.0005253562237612641°
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f_NE: -0.0005253562237612641°
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f_NE: 0.0004912376328576329°
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Triangle d_NW, e_N, f_NW
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Triangle d_NW, e_N, f_NW
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d_NW: 0.0012793501149417352°
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d_NW: 0.0012793501149417352°
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e_N: -0.0009787611630969195°
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e_N: -0.0003005889518448157°
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f_NW: -0.0003005889518448157°
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f_NW: -0.0009787611630969195°
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Triangle d_NW, e_W, f_NW
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Triangle d_NW, e_W, f_NW
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d_NW: 0.0012793645837376744°
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d_NW: 0.0012793645837376744°
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e_W: -0.0009787888926879873°
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e_W: -0.00030057569104258164°
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f_NW: -0.00030057569104258164°
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f_NW: -0.0009787888926879873°
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Triangle d_SE, e_E, f_SE
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Triangle d_SE, e_E, f_SE
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d_SE: -7.914704212907964e-06°
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d_SE: -7.914704212907964e-06°
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e_E: 0.0002723375437980735°
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e_E: -0.00026442283958516555°
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f_SE: -0.00026442283958516555°
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f_SE: 0.0002723375437980735°
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Triangle d_SE, e_S, f_SE
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Triangle d_SE, e_S, f_SE
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d_SE: -7.92374907376825e-06°
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d_SE: -7.92374907376825e-06°
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e_S: 0.0002723546649647801°
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e_S: -0.00026443091589101186°
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f_SE: -0.00026443091589101186°
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f_SE: 0.0002723546649647801°
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Triangle d_SW, e_S, f_SW
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Triangle d_SW, e_S, f_SW
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d_SW: 0.0003857085871175059°
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d_SW: 0.0003857085871175059°
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e_S: -0.00034470395510055596°
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e_S: -4.10046320098445e-05°
|
||||||
f_SW: -4.10046320098445e-05°
|
f_SW: -0.00034470395510055596°
|
||||||
|
|
||||||
Triangle d_SW, e_W, f_SW
|
Triangle d_SW, e_W, f_SW
|
||||||
d_SW: 3.4104280807412124e-05°
|
d_SW: 3.4104280807412124e-05°
|
||||||
e_W: 0.0004912649981676509°
|
e_W: -0.0005253692789679576°
|
||||||
f_SW: -0.0005253692789679576°
|
f_SW: 0.0004912649981676509°
|
||||||
|
|
||||||
Triangle e_E, f_NE, g_ENE
|
Triangle e_E, f_NE, g_ENE
|
||||||
e_E: -0.00015088143299379908°
|
e_E: -0.00015088143299379908°
|
||||||
f_NE: -4.437100798782012e-06°
|
f_NE: 0.0001553185337925811°
|
||||||
g_ENE: 0.0001553185337925811°
|
g_ENE: -4.437100798782012e-06°
|
||||||
|
|
||||||
Triangle e_E, f_SE, g_ESE
|
Triangle e_E, f_SE, g_ESE
|
||||||
e_E: -5.289010589137888e-05°
|
e_E: -5.289010589137888e-05°
|
||||||
f_SE: 0.00010994821870013993°
|
f_SE: -5.705811280876105e-05°
|
||||||
g_ESE: -5.705811280876105e-05°
|
g_ESE: 0.00010994821870013993°
|
||||||
|
|
||||||
Triangle e_E, g_ENE, g_ESE
|
Triangle e_E, g_ENE, g_ESE
|
||||||
e_E: -7.744546709176348e-05°
|
e_E: -7.744546709176348e-05°
|
||||||
g_ENE: 0.0002171941456126092°
|
g_ENE: -0.000139748678492424°
|
||||||
g_ESE: -0.000139748678492424°
|
g_ESE: 0.0002171941456126092°
|
||||||
|
|
||||||
Triangle e_N, f_NE, g_NNE
|
Triangle e_N, f_NE, g_NNE
|
||||||
e_N: -0.00011644664380128233°
|
e_N: -0.00011644664380128233°
|
||||||
f_NE: 0.000363157568820327°
|
f_NE: -0.0002467109250190447°
|
||||||
g_NNE: -0.0002467109250190447°
|
g_NNE: 0.000363157568820327°
|
||||||
|
|
||||||
Triangle e_N, f_NW, g_NNW
|
Triangle e_N, f_NW, g_NNW
|
||||||
e_N: -0.0005663172445693476°
|
e_N: -0.0005663172445693476°
|
||||||
f_NW: 0.000436599482547706°
|
f_NW: 0.00012971776202874707°
|
||||||
g_NNW: 0.00012971776202874707°
|
g_NNW: 0.000436599482547706°
|
||||||
|
|
||||||
Triangle e_N, g_NNE, g_NNW
|
Triangle e_N, g_NNE, g_NNW
|
||||||
e_N: 1.3987573481699656e-06°
|
e_N: 1.3987573481699656e-06°
|
||||||
g_NNE: -0.00034080770834776786°
|
g_NNE: 0.0003394089509995979°
|
||||||
g_NNW: 0.0003394089509995979°
|
g_NNW: -0.00034080770834776786°
|
||||||
|
|
||||||
Triangle e_S, f_SE, g_SSE
|
Triangle e_S, f_SE, g_SSE
|
||||||
e_S: -5.28844724030364e-05°
|
e_S: -5.28844724030364e-05°
|
||||||
f_SE: 0.00010995296653959485°
|
f_SE: -5.706849415076931e-05°
|
||||||
g_SSE: -5.706849415076931e-05°
|
g_SSE: 0.00010995296653959485°
|
||||||
|
|
||||||
Triangle e_S, f_SW, g_SSW
|
Triangle e_S, f_SW, g_SSW
|
||||||
e_S: -0.00015088330234647174°
|
e_S: -0.00015088330234647174°
|
||||||
f_SW: -4.434221558824447e-06°
|
f_SW: 0.00015531752390529618°
|
||||||
g_SSW: 0.00015531752390529618°
|
g_SSW: -4.434221558824447e-06°
|
||||||
|
|
||||||
Triangle e_S, g_SSE, g_SSW
|
Triangle e_S, g_SSE, g_SSW
|
||||||
e_S: -7.743940860649445e-05°
|
e_S: -7.743940860649445e-05°
|
||||||
g_SSE: -0.00013975871755889102°
|
g_SSE: 0.00021719812617959633°
|
||||||
g_SSW: 0.00021719812617959633°
|
g_SSW: -0.00013975871755889102°
|
||||||
|
|
||||||
Triangle e_W, f_NW, g_WNW
|
Triangle e_W, f_NW, g_WNW
|
||||||
e_W: -0.0005663163395084325°
|
e_W: -0.0005663163395084325°
|
||||||
f_NW: 0.00043660275473200727°
|
f_NW: 0.00012971358477642525°
|
||||||
g_WNW: 0.00012971358477642525°
|
g_WNW: 0.00043660275473200727°
|
||||||
|
|
||||||
Triangle e_W, f_SW, g_WSW
|
Triangle e_W, f_SW, g_WSW
|
||||||
e_W: -0.00011643403040295652°
|
e_W: -0.00011643403040295652°
|
||||||
f_SW: 0.0003631626645272945°
|
f_SW: -0.000246728634124338°
|
||||||
g_WSW: -0.000246728634124338°
|
g_WSW: 0.0003631626645272945°
|
||||||
|
|
||||||
Triangle e_W, g_WNW, g_WSW
|
Triangle e_W, g_WNW, g_WSW
|
||||||
e_W: 1.4097619143171869e-06°
|
e_W: 1.4097619143171869e-06°
|
||||||
g_WNW: 0.0003394137133483355°
|
g_WNW: -0.00034082347526265266°
|
||||||
g_WSW: -0.00034082347526265266°
|
g_WSW: 0.0003394137133483355°
|
||||||
|
|
||||||
Triangle f_NE, g_ENE, g_NNE
|
Triangle f_NE, g_ENE, g_NNE
|
||||||
f_NE: 7.450149718835064e-05°
|
f_NE: 7.450149718835064e-05°
|
||||||
g_ENE: 6.294030865205968e-05°
|
g_ENE: -0.00013744180584041032°
|
||||||
g_NNE: -0.00013744180584041032°
|
g_NNE: 6.294030865205968e-05°
|
||||||
|
|
||||||
Triangle f_NW, g_NNW, g_WNW
|
Triangle f_NW, g_NNW, g_WNW
|
||||||
f_NW: 0.00023868980004237983°
|
f_NW: 0.00023868980004237983°
|
||||||
g_NNW: -0.00011934432004778728°
|
g_NNW: -0.00011934547999459255°
|
||||||
g_WNW: -0.00011934547999459255°
|
g_WNW: -0.00011934432004778728°
|
||||||
|
|
||||||
Triangle f_SE, g_ESE, g_SSE
|
Triangle f_SE, g_ESE, g_SSE
|
||||||
f_SE: 3.87570213717936e-05°
|
f_SE: 3.87570213717936e-05°
|
||||||
g_ESE: -1.937846930388787e-05°
|
g_ESE: -1.9378552060800303e-05°
|
||||||
g_SSE: -1.9378552060800303e-05°
|
g_SSE: -1.937846930388787e-05°
|
||||||
|
|
||||||
Triangle f_SW, g_SSW, g_WSW
|
Triangle f_SW, g_SSW, g_WSW
|
||||||
f_SW: 7.450129267994043e-05°
|
f_SW: 7.450129267994043e-05°
|
||||||
g_SSW: 6.293716665339844e-05°
|
g_SSW: -0.00013743845931912801°
|
||||||
g_WSW: -0.00013743845931912801°
|
g_WSW: 6.293716665339844e-05°
|
||||||
|
|
||||||
Total angle distortion: 0.11233054610809035°
|
Total angle distortion: 0.11233054610809035°
|
||||||
Highest angle distortion: 0.0039283900732698385°
|
Highest angle distortion: 0.0039283900732698385°
|
||||||
|
|
|
||||||
Loading…
Add table
Add a link
Reference in a new issue