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
1 0
-0.5 0.866
-0.5 -0.866
Rotation 90°
0 1
-0.866 -0.5
0.866 -0.5
Rotation 45°
0.707 0.707
-0.966 0.259
0.259 -0.966

Carré

Coordonnées
1 0
0 1
-1 0
-0 -1
Rotation 90°
0 1
-1 0
-0 -1
1 -0
Rotation 45°
0.707 0.707
-0.707 0.707
-0.707 -0.707
0.707 -0.707

Pentagone

Coordonnées
1 0
0.309 0.951
-0.809 0.588
-0.809 -0.588
0.309 -0.951
Rotation 90°
0 1
-0.951 0.309
-0.588 -0.809
0.588 -0.809
0.951 0.309
Rotation 45°
0.707 0.707
-0.454 0.891
-0.988 -0.156
-0.156 -0.988
0.891 -0.454

Hexagone

Coordonnées
1 0
0.5 0.866
-0.5 0.866
-1 0
-0.5 -0.866
0.5 -0.866
Rotation 90°
0 1
-0.866 0.5
-0.866 -0.5
-0 -1
0.866 -0.5
0.866 0.5
Rotation 45°
0.707 0.707
-0.259 0.966
-0.966 0.259
-0.707 -0.707
0.259 -0.966
0.966 -0.259

Heptagone

Coordonnées
1 0
0.623 0.782
-0.223 0.975
-0.901 0.434
-0.901 -0.434
-0.223 -0.975
0.623 -0.782
Rotation 90°
0 1
-0.782 0.623
-0.975 -0.223
-0.434 -0.901
0.434 -0.901
0.975 -0.223
0.782 0.623
Rotation 45°
0.707 0.707
-0.112 0.994
-0.847 0.532
-0.944 -0.33
-0.33 -0.944
0.532 -0.847
0.994 -0.112

Octogone

Coordonnées
1 0
0.707 0.707
0 1
-0.707 0.707
-1 0
-0.707 -0.707
-0 -1
0.707 -0.707
Rotation 90°
0 1
-0.707 0.707
-1 0
-0.707 -0.707
-0 -1
0.707 -0.707
1 -0
0.707 0.707
Rotation 45°
0.707 0.707
0 1
-0.707 0.707
-1 0
-0.707 -0.707
-0 -1
0.707 -0.707
1 -0

Polygone à 9 côtés

Coordonnées
1 0
0.766 0.643
0.174 0.985
-0.5 0.866
-0.94 0.342
-0.94 -0.342
-0.5 -0.866
0.174 -0.985
0.766 -0.643
Rotation 90°
0 1
-0.643 0.766
-0.985 0.174
-0.866 -0.5
-0.342 -0.94
0.342 -0.94
0.866 -0.5
0.985 0.174
0.643 0.766
Rotation 45°
0.707 0.707
0.087 0.996
-0.574 0.819
-0.966 0.259
-0.906 -0.423
-0.423 -0.906
0.259 -0.966
0.819 -0.574
0.996 0.087

Décagone

Coordonnées
1 0
0.809 0.588
0.309 0.951
-0.309 0.951
-0.809 0.588
-1 0
-0.809 -0.588
-0.309 -0.951
0.309 -0.951
0.809 -0.588
Rotation 90°
0 1
-0.588 0.809
-0.951 0.309
-0.951 -0.309
-0.588 -0.809
-0 -1
0.588 -0.809
0.951 -0.309
0.951 0.309
0.588 0.809
Rotation 45°
0.707 0.707
0.156 0.988
-0.454 0.891
-0.891 0.454
-0.988 -0.156
-0.707 -0.707
-0.156 -0.988
0.454 -0.891
0.891 -0.454
0.988 0.156

Polygone à 11 côtés

Coordonnées
1 0
0.841 0.541
0.415 0.91
-0.142 0.99
-0.655 0.756
-0.959 0.282
-0.959 -0.282
-0.655 -0.756
-0.142 -0.99
0.415 -0.91
0.841 -0.541
Rotation 90°
0 1
-0.541 0.841
-0.91 0.415
-0.99 -0.142
-0.756 -0.655
-0.282 -0.959
0.282 -0.959
0.756 -0.655
0.99 -0.142
0.91 0.415
0.541 0.841
Rotation 45°
0.707 0.707
0.213 0.977
-0.349 0.937
-0.801 0.599
-0.997 0.071
-0.878 -0.479
-0.479 -0.878
0.071 -0.997
0.599 -0.801
0.937 -0.349
0.977 0.213

Polygone à 12 côtés

Coordonnées
1 0
0.866 0.5
0.5 0.866
0 1
-0.5 0.866
-0.866 0.5
-1 0
-0.866 -0.5
-0.5 -0.866
-0 -1
0.5 -0.866
0.866 -0.5
Rotation 90°
0 1
-0.5 0.866
-0.866 0.5
-1 0
-0.866 -0.5
-0.5 -0.866
-0 -1
0.5 -0.866
0.866 -0.5
1 -0
0.866 0.5
0.5 0.866
Rotation 45°
0.707 0.707
0.259 0.966
-0.259 0.966
-0.707 0.707
-0.966 0.259
-0.966 -0.259
-0.707 -0.707
-0.259 -0.966
0.259 -0.966
0.707 -0.707
0.966 -0.259
0.966 0.259

Polygone à 13 côtés

Coordonnées
1 0
0.885 0.465
0.568 0.823
0.121 0.993
-0.355 0.935
-0.749 0.663
-0.971 0.239
-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°
0 1
-0.465 0.885
-0.823 0.568
-0.993 0.121
-0.935 -0.355
-0.663 -0.749
-0.239 -0.971
0.239 -0.971
0.663 -0.749
0.935 -0.355
0.993 0.121
0.823 0.568
0.465 0.885
Rotation 45°
0.707 0.707
0.298 0.955
-0.18 0.984
-0.617 0.787
-0.912 0.41
-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
0.955 0.298

Polygone à 14 côtés

Coordonnées
1 0
0.901 0.434
0.623 0.782
0.223 0.975
-0.223 0.975
-0.623 0.782
-0.901 0.434
-1 0
-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°
0 1
-0.434 0.901
-0.782 0.623
-0.975 0.223
-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
0.975 0.223
0.782 0.623
0.434 0.901
Rotation 45°
0.707 0.707
0.33 0.944
-0.112 0.994
-0.532 0.847
-0.847 0.532
-0.994 0.112
-0.944 -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
0.944 0.33

Polygone à 15 côtés

Coordonnées
1 0
0.914 0.407
0.669 0.743
0.309 0.951
-0.105 0.995
-0.5 0.866
-0.809 0.588
-0.978 0.208
-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°
0 1
-0.407 0.914
-0.743 0.669
-0.951 0.309
-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
0.951 0.309
0.743 0.669
0.407 0.914
Rotation 45°
0.707 0.707
0.358 0.934
-0.052 0.999
-0.454 0.891
-0.777 0.629
-0.966 0.259
-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
0.934 0.358

Polygone à 16 côtés

Coordonnées
1 0
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
-0.924 -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°
0 1
-0.383 0.924
-0.707 0.707
-0.924 0.383
-1 0
-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
0.924 0.383
0.707 0.707
0.383 0.924
Rotation 45°
0.707 0.707
0.383 0.924
0 1
-0.383 0.924
-0.707 0.707
-0.924 0.383
-1 0
-0.924 -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
0.924 0.383

Polygone à 17 côtés

Coordonnées
1 0
0.932 0.361
0.739 0.674
0.446 0.895
0.092 0.996
-0.274 0.962
-0.603 0.798
-0.85 0.526
-0.983 0.184
-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°
0 1
-0.361 0.932
-0.674 0.739
-0.895 0.446
-0.996 0.092
-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
0.996 0.092
0.895 0.446
0.674 0.739
0.361 0.932
Rotation 45°
0.707 0.707
0.404 0.915
0.046 0.999
-0.318 0.948
-0.639 0.769
-0.874 0.487
-0.99 0.138
-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
0.999 0.046
0.915 0.404

Polygone à 18 côtés

Coordonnées
1 0
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
-1 0
-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°
0 1
-0.342 0.94
-0.643 0.766
-0.866 0.5
-0.985 0.174
-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
0.985 0.174
0.866 0.5
0.643 0.766
0.342 0.94
Rotation 45°
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
-0.996 -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
0.996 0.087
0.906 0.423

Polygone à 19 côtés

Coordonnées
1 0
0.946 0.325
0.789 0.614
0.547 0.837
0.245 0.969
-0.083 0.997
-0.402 0.916
-0.677 0.736
-0.879 0.476
-0.986 0.165
-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°
0 1
-0.325 0.946
-0.614 0.789
-0.837 0.547
-0.969 0.245
-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
0.969 0.245
0.837 0.547
0.614 0.789
0.325 0.946
Rotation 45°
0.707 0.707
0.439 0.898
0.124 0.992
-0.205 0.979
-0.512 0.859
-0.763 0.646
-0.932 0.364
-0.999 0.041
-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
0.992 0.124
0.898 0.439

Dodécagone

Coordonnées
1 0
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
-0.951 -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°
0 1
-0.309 0.951
-0.588 0.809
-0.809 0.588
-0.951 0.309
-1 0
-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
0.951 0.309
0.809 0.588
0.588 0.809
0.309 0.951
Rotation 45°
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
-0.988 -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
0.988 0.156
0.891 0.454

Polygone à 21 côtés

Coordonnées
1 0
0.956 0.295
0.826 0.563
0.623 0.782
0.365 0.931
0.075 0.997
-0.223 0.975
-0.5 0.866
-0.733 0.68
-0.901 0.434
-0.989 0.149
-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°
0 1
-0.295 0.956
-0.563 0.826
-0.782 0.623
-0.931 0.365
-0.997 0.075
-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
0.997 0.075
0.931 0.365
0.782 0.623
0.563 0.826
0.295 0.956
Rotation 45°
0.707 0.707
0.467 0.884
0.186 0.983
-0.112 0.994
-0.4 0.917
-0.652 0.758
-0.847 0.532
-0.966 0.259
-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
0.983 0.186
0.884 0.467

Polygone à 22 côtés

Coordonnées
1 0
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
-1 0
-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°
0 1
-0.282 0.959
-0.541 0.841
-0.756 0.655
-0.91 0.415
-0.99 0.142
-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
0.99 0.142
0.91 0.415
0.756 0.655
0.541 0.841
0.282 0.959
Rotation 45°
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
-0.977 -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
0.977 0.213
0.878 0.479

Polygone à 23 côtés

Coordonnées
1 0
0.963 0.27
0.854 0.52
0.683 0.731
0.46 0.888
0.203 0.979
-0.068 0.998
-0.335 0.942
-0.577 0.817
-0.776 0.631
-0.917 0.398
-0.991 0.136
-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°
0 1
-0.27 0.963
-0.52 0.854
-0.731 0.683
-0.888 0.46
-0.979 0.203
-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
0.979 0.203
0.888 0.46
0.731 0.683
0.52 0.854
0.27 0.963
Rotation 45°
0.707 0.707
0.49 0.872
0.237 0.972
-0.034 0.999
-0.303 0.953
-0.548 0.836
-0.754 0.657
-0.903 0.429
-0.985 0.17
-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
0.972 0.237
0.872 0.49

Polygone à 24 côtés

Coordonnées
1 0
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
-0.966 -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°
0 1
-0.259 0.966
-0.5 0.866
-0.707 0.707
-0.866 0.5
-0.966 0.259
-1 0
-0.966 -0.259
-0.866 -0.5
-0.707 -0.707
-0.5 -0.866
-0.259 -0.966
-0 -1
0.259 -0.966
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