Coordonnées des polygones réguliers

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
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

Rotation 45°
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
1	-0
0.966	0.259
0.866	0.5

Généré à partir de cette page perso.

Xenostom

Xenos, chez Alstom

Author archive

3 octobre 2018

Carte, Mathématiques

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