Liste des coordonnées des sommets des polygones réguliers, de 3 à 24 côtés. Très utile pour vos grilles (map) de jeu, mais totalement introuvable sur internet…

Polygone à 1 côté

Polygone impossible

Polygone à 2 côtés

Polygone impossible

Triangle

Coordonnées
10
-0.50.866
-0.5-0.866
Rotation 90°
01
-0.866-0.5
0.866-0.5
Rotation 45°
0.7070.707
-0.9660.259
0.259-0.966

Carré

Coordonnées
10
01
-10
-0-1
Rotation 90°
01
-10
-0-1
1-0
Rotation 45°
0.7070.707
-0.7070.707
-0.707-0.707
0.707-0.707

Pentagone

Coordonnées
10
0.3090.951
-0.8090.588
-0.809-0.588
0.309-0.951
Rotation 90°
01
-0.9510.309
-0.588-0.809
0.588-0.809
0.9510.309
Rotation 45°
0.7070.707
-0.4540.891
-0.988-0.156
-0.156-0.988
0.891-0.454

Hexagone

Coordonnées
10
0.50.866
-0.50.866
-10
-0.5-0.866
0.5-0.866
Rotation 90°
01
-0.8660.5
-0.866-0.5
-0-1
0.866-0.5
0.8660.5
Rotation 45°
0.7070.707
-0.2590.966
-0.9660.259
-0.707-0.707
0.259-0.966
0.966-0.259

Heptagone

Coordonnées
10
0.6230.782
-0.2230.975
-0.9010.434
-0.901-0.434
-0.223-0.975
0.623-0.782
Rotation 90°
01
-0.7820.623
-0.975-0.223
-0.434-0.901
0.434-0.901
0.975-0.223
0.7820.623
Rotation 45°
0.7070.707
-0.1120.994
-0.8470.532
-0.944-0.33
-0.33-0.944
0.532-0.847
0.994-0.112

Octogone

Coordonnées
10
0.7070.707
01
-0.7070.707
-10
-0.707-0.707
-0-1
0.707-0.707
Rotation 90°
01
-0.7070.707
-10
-0.707-0.707
-0-1
0.707-0.707
1-0
0.7070.707
Rotation 45°
0.7070.707
01
-0.7070.707
-10
-0.707-0.707
-0-1
0.707-0.707
1-0

Polygone à 9 côtés

Coordonnées
10
0.7660.643
0.1740.985
-0.50.866
-0.940.342
-0.94-0.342
-0.5-0.866
0.174-0.985
0.766-0.643
Rotation 90°
01
-0.6430.766
-0.9850.174
-0.866-0.5
-0.342-0.94
0.342-0.94
0.866-0.5
0.9850.174
0.6430.766
Rotation 45°
0.7070.707
0.0870.996
-0.5740.819
-0.9660.259
-0.906-0.423
-0.423-0.906
0.259-0.966
0.819-0.574
0.9960.087

Décagone

Coordonnées
10
0.8090.588
0.3090.951
-0.3090.951
-0.8090.588
-10
-0.809-0.588
-0.309-0.951
0.309-0.951
0.809-0.588
Rotation 90°
01
-0.5880.809
-0.9510.309
-0.951-0.309
-0.588-0.809
-0-1
0.588-0.809
0.951-0.309
0.9510.309
0.5880.809
Rotation 45°
0.7070.707
0.1560.988
-0.4540.891
-0.8910.454
-0.988-0.156
-0.707-0.707
-0.156-0.988
0.454-0.891
0.891-0.454
0.9880.156

Polygone à 11 côtés

Coordonnées
10
0.8410.541
0.4150.91
-0.1420.99
-0.6550.756
-0.9590.282
-0.959-0.282
-0.655-0.756
-0.142-0.99
0.415-0.91
0.841-0.541
Rotation 90°
01
-0.5410.841
-0.910.415
-0.99-0.142
-0.756-0.655
-0.282-0.959
0.282-0.959
0.756-0.655
0.99-0.142
0.910.415
0.5410.841
Rotation 45°
0.7070.707
0.2130.977
-0.3490.937
-0.8010.599
-0.9970.071
-0.878-0.479
-0.479-0.878
0.071-0.997
0.599-0.801
0.937-0.349
0.9770.213

Polygone à 12 côtés

Coordonnées
10
0.8660.5
0.50.866
01
-0.50.866
-0.8660.5
-10
-0.866-0.5
-0.5-0.866
-0-1
0.5-0.866
0.866-0.5
Rotation 90°
01
-0.50.866
-0.8660.5
-10
-0.866-0.5
-0.5-0.866
-0-1
0.5-0.866
0.866-0.5
1-0
0.8660.5
0.50.866
Rotation 45°
0.7070.707
0.2590.966
-0.2590.966
-0.7070.707
-0.9660.259
-0.966-0.259
-0.707-0.707
-0.259-0.966
0.259-0.966
0.707-0.707
0.966-0.259
0.9660.259

Polygone à 13 côtés

Coordonnées
10
0.8850.465
0.5680.823
0.1210.993
-0.3550.935
-0.7490.663
-0.9710.239
-0.971-0.239
-0.749-0.663
-0.355-0.935
0.121-0.993
0.568-0.823
0.885-0.465
Rotation 90°
01
-0.4650.885
-0.8230.568
-0.9930.121
-0.935-0.355
-0.663-0.749
-0.239-0.971
0.239-0.971
0.663-0.749
0.935-0.355
0.9930.121
0.8230.568
0.4650.885
Rotation 45°
0.7070.707
0.2980.955
-0.180.984
-0.6170.787
-0.9120.41
-0.998-0.06
-0.856-0.517
-0.517-0.856
-0.06-0.998
0.41-0.912
0.787-0.617
0.984-0.18
0.9550.298

Polygone à 14 côtés

Coordonnées
10
0.9010.434
0.6230.782
0.2230.975
-0.2230.975
-0.6230.782
-0.9010.434
-10
-0.901-0.434
-0.623-0.782
-0.223-0.975
0.223-0.975
0.623-0.782
0.901-0.434
Rotation 90°
01
-0.4340.901
-0.7820.623
-0.9750.223
-0.975-0.223
-0.782-0.623
-0.434-0.901
-0-1
0.434-0.901
0.782-0.623
0.975-0.223
0.9750.223
0.7820.623
0.4340.901
Rotation 45°
0.7070.707
0.330.944
-0.1120.994
-0.5320.847
-0.8470.532
-0.9940.112
-0.944-0.33
-0.707-0.707
-0.33-0.944
0.112-0.994
0.532-0.847
0.847-0.532
0.994-0.112
0.9440.33

Polygone à 15 côtés

Coordonnées
10
0.9140.407
0.6690.743
0.3090.951
-0.1050.995
-0.50.866
-0.8090.588
-0.9780.208
-0.978-0.208
-0.809-0.588
-0.5-0.866
-0.105-0.995
0.309-0.951
0.669-0.743
0.914-0.407
Rotation 90°
01
-0.4070.914
-0.7430.669
-0.9510.309
-0.995-0.105
-0.866-0.5
-0.588-0.809
-0.208-0.978
0.208-0.978
0.588-0.809
0.866-0.5
0.995-0.105
0.9510.309
0.7430.669
0.4070.914
Rotation 45°
0.7070.707
0.3580.934
-0.0520.999
-0.4540.891
-0.7770.629
-0.9660.259
-0.988-0.156
-0.839-0.545
-0.545-0.839
-0.156-0.988
0.259-0.966
0.629-0.777
0.891-0.454
0.999-0.052
0.9340.358

Polygone à 16 côtés

Coordonnées
10
0.9240.383
0.7070.707
0.3830.924
01
-0.3830.924
-0.7070.707
-0.9240.383
-10
-0.924-0.383
-0.707-0.707
-0.383-0.924
-0-1
0.383-0.924
0.707-0.707
0.924-0.383
Rotation 90°
01
-0.3830.924
-0.7070.707
-0.9240.383
-10
-0.924-0.383
-0.707-0.707
-0.383-0.924
-0-1
0.383-0.924
0.707-0.707
0.924-0.383
1-0
0.9240.383
0.7070.707
0.3830.924
Rotation 45°
0.7070.707
0.3830.924
01
-0.3830.924
-0.7070.707
-0.9240.383
-10
-0.924-0.383
-0.707-0.707
-0.383-0.924
-0-1
0.383-0.924
0.707-0.707
0.924-0.383
1-0
0.9240.383

Polygone à 17 côtés

Coordonnées
10
0.9320.361
0.7390.674
0.4460.895
0.0920.996
-0.2740.962
-0.6030.798
-0.850.526
-0.9830.184
-0.983-0.184
-0.85-0.526
-0.603-0.798
-0.274-0.962
0.092-0.996
0.446-0.895
0.739-0.674
0.932-0.361
Rotation 90°
01
-0.3610.932
-0.6740.739
-0.8950.446
-0.9960.092
-0.962-0.274
-0.798-0.603
-0.526-0.85
-0.184-0.983
0.184-0.983
0.526-0.85
0.798-0.603
0.962-0.274
0.9960.092
0.8950.446
0.6740.739
0.3610.932
Rotation 45°
0.7070.707
0.4040.915
0.0460.999
-0.3180.948
-0.6390.769
-0.8740.487
-0.990.138
-0.973-0.229
-0.825-0.565
-0.565-0.825
-0.229-0.973
0.138-0.99
0.487-0.874
0.769-0.639
0.948-0.318
0.9990.046
0.9150.404

Polygone à 18 côtés

Coordonnées
10
0.940.342
0.7660.643
0.50.866
0.1740.985
-0.1740.985
-0.50.866
-0.7660.643
-0.940.342
-10
-0.94-0.342
-0.766-0.643
-0.5-0.866
-0.174-0.985
0.174-0.985
0.5-0.866
0.766-0.643
0.94-0.342
Rotation 90°
01
-0.3420.94
-0.6430.766
-0.8660.5
-0.9850.174
-0.985-0.174
-0.866-0.5
-0.643-0.766
-0.342-0.94
-0-1
0.342-0.94
0.643-0.766
0.866-0.5
0.985-0.174
0.9850.174
0.8660.5
0.6430.766
0.3420.94
Rotation 45°
0.7070.707
0.4230.906
0.0870.996
-0.2590.966
-0.5740.819
-0.8190.574
-0.9660.259
-0.996-0.087
-0.906-0.423
-0.707-0.707
-0.423-0.906
-0.087-0.996
0.259-0.966
0.574-0.819
0.819-0.574
0.966-0.259
0.9960.087
0.9060.423

Polygone à 19 côtés

Coordonnées
10
0.9460.325
0.7890.614
0.5470.837
0.2450.969
-0.0830.997
-0.4020.916
-0.6770.736
-0.8790.476
-0.9860.165
-0.986-0.165
-0.879-0.476
-0.677-0.736
-0.402-0.916
-0.083-0.997
0.245-0.969
0.547-0.837
0.789-0.614
0.946-0.325
Rotation 90°
01
-0.3250.946
-0.6140.789
-0.8370.547
-0.9690.245
-0.997-0.083
-0.916-0.402
-0.736-0.677
-0.476-0.879
-0.165-0.986
0.165-0.986
0.476-0.879
0.736-0.677
0.916-0.402
0.997-0.083
0.9690.245
0.8370.547
0.6140.789
0.3250.946
Rotation 45°
0.7070.707
0.4390.898
0.1240.992
-0.2050.979
-0.5120.859
-0.7630.646
-0.9320.364
-0.9990.041
-0.958-0.285
-0.814-0.581
-0.581-0.814
-0.285-0.958
0.041-0.999
0.364-0.932
0.646-0.763
0.859-0.512
0.979-0.205
0.9920.124
0.8980.439

Dodécagone

Coordonnées
10
0.9510.309
0.8090.588
0.5880.809
0.3090.951
01
-0.3090.951
-0.5880.809
-0.8090.588
-0.9510.309
-10
-0.951-0.309
-0.809-0.588
-0.588-0.809
-0.309-0.951
-0-1
0.309-0.951
0.588-0.809
0.809-0.588
0.951-0.309
Rotation 90°
01
-0.3090.951
-0.5880.809
-0.8090.588
-0.9510.309
-10
-0.951-0.309
-0.809-0.588
-0.588-0.809
-0.309-0.951
-0-1
0.309-0.951
0.588-0.809
0.809-0.588
0.951-0.309
1-0
0.9510.309
0.8090.588
0.5880.809
0.3090.951
Rotation 45°
0.7070.707
0.4540.891
0.1560.988
-0.1560.988
-0.4540.891
-0.7070.707
-0.8910.454
-0.9880.156
-0.988-0.156
-0.891-0.454
-0.707-0.707
-0.454-0.891
-0.156-0.988
0.156-0.988
0.454-0.891
0.707-0.707
0.891-0.454
0.988-0.156
0.9880.156
0.8910.454

Polygone à 21 côtés

Coordonnées
10
0.9560.295
0.8260.563
0.6230.782
0.3650.931
0.0750.997
-0.2230.975
-0.50.866
-0.7330.68
-0.9010.434
-0.9890.149
-0.989-0.149
-0.901-0.434
-0.733-0.68
-0.5-0.866
-0.223-0.975
0.075-0.997
0.365-0.931
0.623-0.782
0.826-0.563
0.956-0.295
Rotation 90°
01
-0.2950.956
-0.5630.826
-0.7820.623
-0.9310.365
-0.9970.075
-0.975-0.223
-0.866-0.5
-0.68-0.733
-0.434-0.901
-0.149-0.989
0.149-0.989
0.434-0.901
0.68-0.733
0.866-0.5
0.975-0.223
0.9970.075
0.9310.365
0.7820.623
0.5630.826
0.2950.956
Rotation 45°
0.7070.707
0.4670.884
0.1860.983
-0.1120.994
-0.40.917
-0.6520.758
-0.8470.532
-0.9660.259
-0.999-0.037
-0.944-0.33
-0.805-0.594
-0.594-0.805
-0.33-0.944
-0.037-0.999
0.259-0.966
0.532-0.847
0.758-0.652
0.917-0.4
0.994-0.112
0.9830.186
0.8840.467

Polygone à 22 côtés

Coordonnées
10
0.9590.282
0.8410.541
0.6550.756
0.4150.91
0.1420.99
-0.1420.99
-0.4150.91
-0.6550.756
-0.8410.541
-0.9590.282
-10
-0.959-0.282
-0.841-0.541
-0.655-0.756
-0.415-0.91
-0.142-0.99
0.142-0.99
0.415-0.91
0.655-0.756
0.841-0.541
0.959-0.282
Rotation 90°
01
-0.2820.959
-0.5410.841
-0.7560.655
-0.910.415
-0.990.142
-0.99-0.142
-0.91-0.415
-0.756-0.655
-0.541-0.841
-0.282-0.959
-0-1
0.282-0.959
0.541-0.841
0.756-0.655
0.91-0.415
0.99-0.142
0.990.142
0.910.415
0.7560.655
0.5410.841
0.2820.959
Rotation 45°
0.7070.707
0.4790.878
0.2130.977
-0.0710.997
-0.3490.937
-0.5990.801
-0.8010.599
-0.9370.349
-0.9970.071
-0.977-0.213
-0.878-0.479
-0.707-0.707
-0.479-0.878
-0.213-0.977
0.071-0.997
0.349-0.937
0.599-0.801
0.801-0.599
0.937-0.349
0.997-0.071
0.9770.213
0.8780.479

Polygone à 23 côtés

Coordonnées
10
0.9630.27
0.8540.52
0.6830.731
0.460.888
0.2030.979
-0.0680.998
-0.3350.942
-0.5770.817
-0.7760.631
-0.9170.398
-0.9910.136
-0.991-0.136
-0.917-0.398
-0.776-0.631
-0.577-0.817
-0.335-0.942
-0.068-0.998
0.203-0.979
0.46-0.888
0.683-0.731
0.854-0.52
0.963-0.27
Rotation 90°
01
-0.270.963
-0.520.854
-0.7310.683
-0.8880.46
-0.9790.203
-0.998-0.068
-0.942-0.335
-0.817-0.577
-0.631-0.776
-0.398-0.917
-0.136-0.991
0.136-0.991
0.398-0.917
0.631-0.776
0.817-0.577
0.942-0.335
0.998-0.068
0.9790.203
0.8880.46
0.7310.683
0.520.854
0.270.963
Rotation 45°
0.7070.707
0.490.872
0.2370.972
-0.0340.999
-0.3030.953
-0.5480.836
-0.7540.657
-0.9030.429
-0.9850.17
-0.995-0.102
-0.93-0.367
-0.797-0.604
-0.604-0.797
-0.367-0.93
-0.102-0.995
0.17-0.985
0.429-0.903
0.657-0.754
0.836-0.548
0.953-0.303
0.999-0.034
0.9720.237
0.8720.49

Polygone à 24 côtés

Coordonnées
10
0.9660.259
0.8660.5
0.7070.707
0.50.866
0.2590.966
01
-0.2590.966
-0.50.866
-0.7070.707
-0.8660.5
-0.9660.259
-10
-0.966-0.259
-0.866-0.5
-0.707-0.707
-0.5-0.866
-0.259-0.966
-0-1
0.259-0.966
0.5-0.866
0.707-0.707
0.866-0.5
0.966-0.259
Rotation 90°
01
-0.2590.966
-0.50.866
-0.7070.707
-0.8660.5
-0.9660.259
-10
-0.966-0.259
-0.866-0.5
-0.707-0.707
-0.5-0.866
-0.259-0.966
-0-1
0.259-0.966
0.5-0.866
0.707-0.707
0.866-0.5
0.966-0.259
1-0
0.9660.259
0.8660.5
0.7070.707
0.50.866
0.2590.966
Rotation 45°
0.7070.707
0.50.866
0.2590.966
01
-0.2590.966
-0.50.866
-0.7070.707
-0.8660.5
-0.9660.259
-10
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