1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
|
# ##### BEGIN GPL LICENSE BLOCK #####
#
# This program is free software; you can redistribute it and/or
# modify it under the terms of the GNU General Public License
# as published by the Free Software Foundation; either version 2
# of the License, or (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the Free Software Foundation,
# Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
#
# ##### END GPL LICENSE BLOCK #####
bl_addon_info = {
'name': 'Add Mesh: Archimedean Solids',
'author': 'Buerbaum Martin (Pontiac)',
'version': '0.1',
'blender': (2, 5, 3),
'location': 'View3D > Add > Mesh > Archimedean Solids',
'description': 'Adds various archimedean solids to the Add Mesh menu',
'url':
'http://wiki.blender.org/index.php/Extensions:2.5/Py/' \
'Scripts/Add_Mesh/', # @todo Create wiki page and fix this link.
'category': 'Add Mesh'}
import bpy
from math import sqrt
from mathutils import *
from bpy.props import *
# Stores the values of a list of properties and the
# operator id in a property group ('recall_op') inside the object.
# Could (in theory) be used for non-objects.
# Note: Replaces any existing property group with the same name!
# ob ... Object to store the properties in.
# op ... The operator that should be used.
# op_args ... A dictionary with valid Blender
# properties (operator arguments/parameters).
def store_recall_properties(ob, op, op_args):
if ob and op and op_args:
recall_properties = {}
# Add the operator identifier and op parameters to the properties.
recall_properties['op'] = op.bl_idname
recall_properties['args'] = op_args
# Store new recall properties.
ob['recall'] = recall_properties
# calculates the matrix for the new object
# depending on user pref
def align_matrix(context):
loc = TranslationMatrix(context.scene.cursor_location)
obj_align = context.user_preferences.edit.object_align
if (context.space_data.type == 'VIEW_3D'
and obj_align == 'VIEW'):
rot = context.space_data.region_3d.view_matrix.rotation_part().invert().resize4x4()
else:
rot = Matrix()
align_matrix = loc * rot
return align_matrix
# Create a new mesh (object) from verts/edges/faces.
# verts/edges/faces ... List of vertices/edges/faces for the
# new mesh (as used in from_pydata).
# name ... Name of the new mesh (& object).
# edit ... Replace existing mesh data.
# Note: Using "edit" will destroy/delete existing mesh data.
def create_mesh_object(context, verts, edges, faces, name, edit, align_matrix):
scene = context.scene
obj_act = scene.objects.active
# Can't edit anything, unless we have an active obj.
if edit and not obj_act:
return None
# Create new mesh
mesh = bpy.data.meshes.new(name)
# Make a mesh from a list of verts/edges/faces.
mesh.from_pydata(verts, edges, faces)
# Update mesh geometry after adding stuff.
mesh.update()
# Deselect all objects.
bpy.ops.object.select_all(action='DESELECT')
if edit:
# Replace geometry of existing object
# Use the active obj and select it.
ob_new = obj_act
ob_new.selected = True
if obj_act.mode == 'OBJECT':
# Get existing mesh datablock.
old_mesh = ob_new.data
# Set object data to nothing
ob_new.data = None
# Clear users of existing mesh datablock.
old_mesh.user_clear()
# Remove old mesh datablock if no users are left.
if (old_mesh.users == 0):
bpy.data.meshes.remove(old_mesh)
# Assign new mesh datablock.
ob_new.data = mesh
else:
# Create new object
ob_new = bpy.data.objects.new(name, mesh)
# Link new object to the given scene and select it.
scene.objects.link(ob_new)
ob_new.selected = True
# Place the object at the 3D cursor location.
# apply viewRotaion
ob_new.matrix = align_matrix
if obj_act and obj_act.mode == 'EDIT':
if not edit:
# We are in EditMode, switch to ObjectMode.
bpy.ops.object.mode_set(mode='OBJECT')
# Select the active object as well.
obj_act.selected = True
# Apply location of new object.
scene.update()
# Join new object into the active.
bpy.ops.object.join()
# Switching back to EditMode.
bpy.ops.object.mode_set(mode='EDIT')
ob_new = obj_act
else:
# We are in ObjectMode.
# Make the new object the active one.
scene.objects.active = ob_new
return ob_new
# A very simple "bridge" tool.
# Connects two equally long vertex rows with faces.
# Returns a list of the new faces (list of lists)
#
# vertIdx1 ... First vertex list (list of vertex indices).
# vertIdx2 ... Second vertex list (list of vertex indices).
# closed ... Creates a loop (first & last are closed).
# flipped ... Invert the normal of the face(s).
#
# Note: You can set vertIdx1 to a single vertex index to create
# a fan/star of faces.
# Note: If both vertex idx list are the same length they have
# to have at least 2 vertices.
def createFaces(vertIdx1, vertIdx2, closed=False, flipped=False):
faces = []
if not vertIdx1 or not vertIdx2:
return None
if len(vertIdx1) < 2 and len(vertIdx2) < 2:
return None
fan = False
if (len(vertIdx1) != len(vertIdx2)):
if (len(vertIdx1) == 1 and len(vertIdx2) > 1):
fan = True
else:
return None
total = len(vertIdx2)
if closed:
# Bridge the start with the end.
if flipped:
face = [
vertIdx1[0],
vertIdx2[0],
vertIdx2[total - 1]]
if not fan:
face.append(vertIdx1[total - 1])
faces.append(face)
else:
face = [vertIdx2[0], vertIdx1[0]]
if not fan:
face.append(vertIdx1[total - 1])
face.append(vertIdx2[total - 1])
faces.append(face)
# Bridge the rest of the faces.
for num in range(total - 1):
if flipped:
if fan:
face = [vertIdx2[num], vertIdx1[0], vertIdx2[num + 1]]
else:
face = [vertIdx2[num], vertIdx1[num],
vertIdx1[num + 1], vertIdx2[num + 1]]
faces.append(face)
else:
if fan:
face = [vertIdx1[0], vertIdx2[num], vertIdx2[num + 1]]
else:
face = [vertIdx1[num], vertIdx2[num],
vertIdx2[num + 1], vertIdx1[num + 1]]
faces.append(face)
return faces
########################
# Converts regular ngons to quads
# Note: Exists because most "fill" functions can not be
# controlled as easily.
def ngon_fill(ngon, offset=0):
if offset > 0:
for i in range(offset):
ngon = ngon[1:] + [ngon[0]]
if len(ngon) == 6:
# Hexagon
return [
[ngon[0], ngon[1], ngon[2], ngon[3]],
[ngon[0], ngon[3], ngon[4], ngon[5]]]
elif len(ngon) == 8:
# Octagon
return [
[ngon[0], ngon[1], ngon[2], ngon[3]],
[ngon[0], ngon[3], ngon[4], ngon[7]],
[ngon[7], ngon[4], ngon[5], ngon[6]]]
else:
return None
# Not supported (yet)
# Returns the middle location of a _regular_ polygon.
# verts ... List of vertex coordinates (Vector) used by the ngon.
# ngon ... List of ngones (vertex indices of each ngon point)
def get_polygon_center(verts, ngons):
faces = []
for f in ngons:
loc = Vector((0.0, 0.0, 0.0))
for vert_idx in f:
loc = loc + Vector(verts[vert_idx])
loc = loc / len(f)
vert_idx_new = len(verts)
verts.append(loc)
face_star = createFaces([vert_idx_new], f, closed=True)
faces.extend(face_star)
return verts, faces
# v1 ... First vertex point (Vector)
# v2 ... Second vertex point (Vector)
# edgelength_middle .. Length of the middle section (va->vb)
# (v1)----(va)---------------(vb)----(v2)
def subdivide_edge_2_cuts(v1, v2, edgelength_middle):
length = (v2 - v1).length
vn = (v2 - v1).normalize()
edgelength_1a_b2 = (length - edgelength_middle) / 2.0
va = v1 + vn * edgelength_1a_b2
vb = v1 + vn * (edgelength_1a_b2 + edgelength_middle)
return (va, vb)
# Invert the normal of a face.
# Inverts the order of the vertices to change the normal direction of a face.
def invert_face_normal(face):
return [face[0]] + list(reversed(face[1:]))
########################
# http://en.wikipedia.org/wiki/Truncated_tetrahedron
def add_truncated_tetrahedron(hexagon_side=2.0 * sqrt(2.0) / 3.0,
star_ngons=False):
size = 2.0
if (hexagon_side < 0.0
or hexagon_side > size * sqrt(2.0)):
return None, None
verts = []
faces = []
# Vertices of a simple Tetrahedron
verts_tet = [
Vector((1.0, 1.0, -1.0)), # tip 0
Vector((-1.0, 1.0, 1.0)), # tip 1
Vector((1.0, -1.0, 1.0)), # tip 2
Vector((-1.0, -1.0, -1.0))] # tip 3
# Calculate truncated vertices
tri0 = []
tri1 = []
tri2 = []
tri3 = []
va, vb = subdivide_edge_2_cuts(verts_tet[0], verts_tet[1], hexagon_side)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri0.append(va_idx)
tri1.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_tet[0], verts_tet[2], hexagon_side)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri0.append(va_idx)
tri2.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_tet[0], verts_tet[3], hexagon_side)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri0.append(va_idx)
tri3.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_tet[1], verts_tet[2], hexagon_side)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri1.append(va_idx)
tri2.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_tet[1], verts_tet[3], hexagon_side)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri1.append(va_idx)
tri3.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_tet[2], verts_tet[3], hexagon_side)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri2.append(va_idx)
tri3.append(vb_idx)
# Hexagon polygons (n-gons)
ngon012 = [tri0[1], tri0[0], tri1[0], tri1[1], tri2[1], tri2[0]]
ngon031 = [tri0[0], tri0[2], tri3[0], tri3[1], tri1[2], tri1[0]]
ngon023 = [tri0[2], tri0[1], tri2[0], tri2[2], tri3[2], tri3[0]]
ngon132 = [tri1[1], tri1[2], tri3[1], tri3[2], tri2[2], tri2[1]]
if star_ngons:
# Create stars from hexagons
verts, faces_star = get_polygon_center(verts,
[ngon012, ngon031, ngon023, ngon132])
faces.extend(faces_star)
else:
# Create quads from hexagons
hex_quads = ngon_fill(ngon012)
faces.extend(hex_quads)
hex_quads = ngon_fill(ngon031)
faces.extend(hex_quads)
hex_quads = ngon_fill(ngon023)
faces.extend(hex_quads)
hex_quads = ngon_fill(ngon132)
faces.extend(hex_quads)
# Invert face normals
tri1 = [tri1[0]] + list(reversed(tri1[1:]))
tri3 = [tri3[0]] + list(reversed(tri3[1:]))
# Tri faces
faces.extend([tri0, tri1, tri2, tri3])
return verts, faces
# http://en.wikipedia.org/wiki/Truncated_cube
# http://en.wikipedia.org/wiki/Cuboctahedron
def add_cuboctahedron(octagon_side=0.0, star_ngons=False):
size = 2.0
if (octagon_side > size or octagon_side < 0.0):
return None, None, None
s = octagon_side
verts = []
faces = []
name = "Cuboctahedron"
if s == 0.0:
# Upper quad face
dist = z = size / 2.0
face_top = [len(verts), len(verts) + 1, len(verts) + 2, len(verts) + 3]
verts.append(Vector((dist, 0.0, z)))
verts.append(Vector((0.0, dist, z)))
verts.append(Vector((-dist, 0.0, z)))
verts.append(Vector((0.0, -dist, z)))
faces.append(face_top)
# 4 vertices on the z=0.0 plane
z = 0.0
v_xp_yp = len(verts)
verts.append(Vector((dist, dist, z)))
v_xp_yn = len(verts)
verts.append(Vector((dist, -dist, z)))
v_xn_yn = len(verts)
verts.append(Vector((-dist, -dist, z)))
v_xn_yp = len(verts)
verts.append(Vector((-dist, dist, z)))
# Lower quad face
z = -size / 2.0
face_bot = [len(verts), len(verts) + 1, len(verts) + 2, len(verts) + 3]
verts.append((dist, 0.0, z))
verts.append((0.0, -dist, z))
verts.append((-dist, 0.0, z))
verts.append((0.0, dist, z))
faces.append(face_bot)
# Last 4 faces
face_yp = [v_xp_yp, face_bot[3], v_xn_yp, face_top[1]]
face_yn = [v_xn_yn, face_bot[1], v_xp_yn, face_top[3]]
face_xp = [v_xp_yn, face_bot[0], v_xp_yp, face_top[0]]
face_xn = [v_xn_yp, face_bot[2], v_xn_yn, face_top[2]]
faces.extend([face_yp, face_yn, face_xp, face_xn])
# Tris top
tri_xp_yp_zp = [v_xp_yp, face_top[1], face_top[0]]
tri_xp_yn_zp = [v_xp_yn, face_top[0], face_top[3]]
tri_xn_yp_zp = [v_xn_yp, face_top[2], face_top[1]]
tri_xn_yn_zp = [v_xn_yn, face_top[3], face_top[2]]
faces.extend([tri_xp_yp_zp, tri_xp_yn_zp, tri_xn_yp_zp, tri_xn_yn_zp])
# Tris bottom
tri_xp_yp_zn = [v_xp_yn, face_bot[1], face_bot[0]]
tri_xp_yn_zn = [v_xp_yp, face_bot[0], face_bot[3]]
tri_xn_yp_zn = [v_xn_yn, face_bot[2], face_bot[1]]
tri_xn_yn_zn = [v_xn_yp, face_bot[3], face_bot[2]]
faces.extend([tri_xp_yp_zn, tri_xp_yn_zn, tri_xn_yp_zn, tri_xn_yn_zn])
else:
name = "TruncatedCube"
# Vertices of a simple Cube
verts_cube = [
Vector((1.0, 1.0, 1.0)), # tip 0
Vector((1.0, -1.0, 1.0)), # tip 1
Vector((-1.0, -1.0, 1.0)), # tip 2
Vector((-1.0, 1.0, 1.0)), # tip 3
Vector((1.0, 1.0, -1.0)), # tip 4
Vector((1.0, -1.0, -1.0)), # tip 5
Vector((-1.0, -1.0, -1.0)), # tip 6
Vector((-1.0, 1.0, -1.0))] # tip 7
tri_xp_yp_zp = []
tri_xp_yn_zp = []
tri_xn_yp_zp = []
tri_xn_yn_zp = []
tri_xp_yp_zn = []
tri_xp_yn_zn = []
tri_xn_yp_zn = []
tri_xn_yn_zn = []
# Prepare top & bottom octagons.
ngon_top = []
ngon_bot = []
# Top edges
va, vb = subdivide_edge_2_cuts(verts_cube[0], verts_cube[1], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xp_yp_zp.append(va_idx)
tri_xp_yn_zp.append(vb_idx)
ngon_top.extend([va_idx, vb_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[1], verts_cube[2], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xp_yn_zp.append(va_idx)
tri_xn_yn_zp.append(vb_idx)
ngon_top.extend([va_idx, vb_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[2], verts_cube[3], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xn_yn_zp.append(va_idx)
tri_xn_yp_zp.append(vb_idx)
ngon_top.extend([va_idx, vb_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[3], verts_cube[0], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xn_yp_zp.append(va_idx)
tri_xp_yp_zp.append(vb_idx)
ngon_top.extend([va_idx, vb_idx])
# Top-down edges
va, vb = subdivide_edge_2_cuts(verts_cube[0], verts_cube[4], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xp_yp_zp.append(va_idx)
tri_xp_yp_zn.append(vb_idx)
top_down_0 = [va_idx, vb_idx]
va, vb = subdivide_edge_2_cuts(verts_cube[1], verts_cube[5], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xp_yn_zp.append(va_idx)
tri_xp_yn_zn.append(vb_idx)
top_down_1 = [va_idx, vb_idx]
va, vb = subdivide_edge_2_cuts(verts_cube[2], verts_cube[6], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xn_yn_zp.append(va_idx)
tri_xn_yn_zn.append(vb_idx)
top_down_2 = [va_idx, vb_idx]
va, vb = subdivide_edge_2_cuts(verts_cube[3], verts_cube[7], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xn_yp_zp.append(va_idx)
tri_xn_yp_zn.append(vb_idx)
top_down_3 = [va_idx, vb_idx]
# Bottom edges
va, vb = subdivide_edge_2_cuts(verts_cube[4], verts_cube[5], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xp_yp_zn.append(va_idx)
tri_xp_yn_zn.append(vb_idx)
ngon_bot.extend([va_idx, vb_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[5], verts_cube[6], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xp_yn_zn.append(va_idx)
tri_xn_yn_zn.append(vb_idx)
ngon_bot.extend([va_idx, vb_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[6], verts_cube[7], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xn_yn_zn.append(va_idx)
tri_xn_yp_zn.append(vb_idx)
ngon_bot.extend([va_idx, vb_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[7], verts_cube[4], s)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tri_xn_yp_zn.append(va_idx)
tri_xp_yp_zn.append(vb_idx)
ngon_bot.extend([va_idx, vb_idx])
# Octagon polygons (n-gons)
ngon_0 = [
top_down_0[1], top_down_0[0], ngon_top[0], ngon_top[1],
top_down_1[0], top_down_1[1], ngon_bot[1], ngon_bot[0]]
ngon_1 = [
top_down_1[1], top_down_1[0], ngon_top[2], ngon_top[3],
top_down_2[0], top_down_2[1], ngon_bot[3], ngon_bot[2]]
ngon_2 = [
top_down_2[1], top_down_2[0], ngon_top[4], ngon_top[5],
top_down_3[0], top_down_3[1], ngon_bot[5], ngon_bot[4]]
ngon_3 = [
top_down_3[1], top_down_3[0], ngon_top[6], ngon_top[7],
top_down_0[0], top_down_0[1], ngon_bot[7], ngon_bot[6]]
# Invert face normals where needed.
ngon_top = invert_face_normal(ngon_top)
tri_xp_yp_zp = invert_face_normal(tri_xp_yp_zp)
tri_xp_yn_zn = invert_face_normal(tri_xp_yn_zn)
tri_xn_yp_zn = invert_face_normal(tri_xn_yp_zn)
tri_xn_yn_zn = invert_face_normal(tri_xn_yn_zn)
# Tris
faces.extend([tri_xp_yp_zp, tri_xp_yn_zp, tri_xn_yp_zp, tri_xn_yn_zp])
faces.extend([tri_xp_yp_zn, tri_xp_yn_zn, tri_xn_yp_zn, tri_xn_yn_zn])
if star_ngons:
ngons = [ngon_top, ngon_bot, ngon_0, ngon_1, ngon_2, ngon_3]
# Create stars from octagons.
verts, faces_star = get_polygon_center(verts, ngons)
faces.extend(faces_star)
else:
# Create quads from octagons.
# The top octagon is the only polygon we don't need to offset.
oct_quads = ngon_fill(ngon_top)
faces.extend(oct_quads)
ngons = [ngon_bot, ngon_0, ngon_1, ngon_2, ngon_3]
for ngon in ngons:
# offset=1 Offset vertices so QUADS are created with
# orthagonal edges. Superficial change - Could be omitted.
oct_quads = ngon_fill(ngon, offset=1)
faces.extend(oct_quads)
return verts, faces, name
# http://en.wikipedia.org/wiki/Rhombicuboctahedron
# Note: quad_size=0 would result in a Cuboctahedron
def add_rhombicuboctahedron(quad_size=sqrt(2.0) / (1.0 + sqrt(2) / 2.0)):
size = 2.0
if (quad_size > size or quad_size < 0.0):
return None, None
faces = []
verts = []
# Top & bottom faces (quads)
face_top = []
face_bot = []
for z, up in [(size / 2.0, True), (-size / 2.0, False)]:
face = []
face.append(len(verts))
verts.append(Vector((quad_size / 2.0, quad_size / 2.0, z)))
face.append(len(verts))
verts.append(Vector((quad_size / 2.0, -quad_size / 2.0, z)))
face.append(len(verts))
verts.append(Vector((-quad_size / 2.0, -quad_size / 2.0, z)))
face.append(len(verts))
verts.append(Vector((-quad_size / 2.0, quad_size / 2.0, z)))
if up:
# Top face (quad)
face_top = face
else:
# Bottom face (quad)
face_bot = face
edgeloop_up = []
edgeloop_low = []
for z, up in [(quad_size / 2.0, True), (-quad_size / 2.0, False)]:
edgeloop = []
edgeloop.append(len(verts))
verts.append(Vector((size / 2.0, quad_size / 2.0, z)))
edgeloop.append(len(verts))
verts.append(Vector((size / 2.0, -quad_size / 2.0, z)))
edgeloop.append(len(verts))
verts.append(Vector((quad_size / 2.0, -size / 2.0, z)))
edgeloop.append(len(verts))
verts.append(Vector((-quad_size / 2.0, -size / 2.0, z)))
edgeloop.append(len(verts))
verts.append(Vector((-size / 2.0, -quad_size / 2.0, z)))
edgeloop.append(len(verts))
verts.append(Vector((-size / 2.0, quad_size / 2.0, z)))
edgeloop.append(len(verts))
verts.append(Vector((-quad_size / 2.0, size / 2.0, z)))
edgeloop.append(len(verts))
verts.append(Vector((quad_size / 2.0, size / 2.0, z)))
if up:
# Upper 8-sider
edgeloop_up = edgeloop
else:
# Lower 8-sider
edgeloop_low = edgeloop
face_top_idx = len(faces)
faces.append(face_top)
faces.append(face_bot)
faces_middle = createFaces(edgeloop_low, edgeloop_up, closed=True)
faces.extend(faces_middle)
# Upper Quads
faces.append([edgeloop_up[0], face_top[0], face_top[1], edgeloop_up[1]])
faces.append([edgeloop_up[2], face_top[1], face_top[2], edgeloop_up[3]])
faces.append([edgeloop_up[4], face_top[2], face_top[3], edgeloop_up[5]])
faces.append([edgeloop_up[6], face_top[3], face_top[0], edgeloop_up[7]])
# Upper Tris
faces.append([face_top[0], edgeloop_up[0], edgeloop_up[7]])
faces.append([face_top[1], edgeloop_up[2], edgeloop_up[1]])
faces.append([face_top[2], edgeloop_up[4], edgeloop_up[3]])
faces.append([face_top[3], edgeloop_up[6], edgeloop_up[5]])
# Lower Quads
faces.append([edgeloop_low[0], edgeloop_low[1], face_bot[1], face_bot[0]])
faces.append([edgeloop_low[2], edgeloop_low[3], face_bot[2], face_bot[1]])
faces.append([edgeloop_low[4], edgeloop_low[5], face_bot[3], face_bot[2]])
faces.append([edgeloop_low[6], edgeloop_low[7], face_bot[0], face_bot[3]])
# Lower Tris
faces.append([face_bot[0], edgeloop_low[7], edgeloop_low[0]])
faces.append([face_bot[1], edgeloop_low[1], edgeloop_low[2]])
faces.append([face_bot[2], edgeloop_low[3], edgeloop_low[4]])
faces.append([face_bot[3], edgeloop_low[5], edgeloop_low[6]])
# Invert face normal
f = faces[face_top_idx]
faces[face_top_idx] = invert_face_normal(faces[face_top_idx])
return verts, faces
# http://en.wikipedia.org/wiki/Truncated_octahedron
def add_truncated_octahedron(hexagon_side=sqrt(2) / 3.0, star_ngons=False):
if (hexagon_side < 0.0
or hexagon_side > sqrt(2)):
return None, None
hs = hexagon_side
verts = []
faces = []
# Vertices of a simple Octahedron
verts_oct = [
Vector((0.0, 0.0, 1.0)), # tip 0 - Top
Vector((1.0, 0.0, 0.0)), # tip 1 - xp y0
Vector((0.0, -1.0, 0.0)), # tip 2 - x0 yn
Vector((-1.0, 0.0, 0.0)), # tip 3 - xn y0
Vector((0.0, 1.0, 0.0)), # tip 4 - x0 yp
Vector((0.0, 0.0, -1.0))] # tip 5 - Bottom
tip_top = []
tip_1 = []
tip_2 = []
tip_3 = []
tip_4 = []
tip_bot = []
# Top edges
va, vb = subdivide_edge_2_cuts(verts_oct[0], verts_oct[1], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_top.append(va_idx)
tip_1.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_oct[0], verts_oct[2], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_top.append(va_idx)
tip_2.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_oct[0], verts_oct[3], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_top.append(va_idx)
tip_3.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_oct[0], verts_oct[4], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_top.append(va_idx)
tip_4.append(vb_idx)
# Circumference edges
va, vb = subdivide_edge_2_cuts(verts_oct[1], verts_oct[2], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_1.append(va_idx)
tip_2.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_oct[2], verts_oct[3], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_2.append(va_idx)
tip_3.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_oct[3], verts_oct[4], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_3.append(va_idx)
tip_4.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_oct[4], verts_oct[1], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_4.append(va_idx)
tip_1.append(vb_idx)
# Bottom edges
va, vb = subdivide_edge_2_cuts(verts_oct[5], verts_oct[1], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_bot.append(va_idx)
tip_1.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_oct[5], verts_oct[2], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_bot.append(va_idx)
tip_2.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_oct[5], verts_oct[3], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_bot.append(va_idx)
tip_3.append(vb_idx)
va, vb = subdivide_edge_2_cuts(verts_oct[5], verts_oct[4], hs)
va_idx, vb_idx = len(verts), len(verts) + 1
verts.extend([va, vb])
tip_bot.append(va_idx)
tip_4.append(vb_idx)
# Hexagons
ngon_12_zp = [tip_top[0], tip_top[1],
tip_2[0], tip_2[1],
tip_1[1], tip_1[0]]
ngon_23_zp = [tip_top[1], tip_top[2],
tip_3[0], tip_3[1],
tip_2[2], tip_2[0]]
ngon_34_zp = [tip_top[2], tip_top[3],
tip_4[0], tip_4[1],
tip_3[2], tip_3[0]]
ngon_41_zp = [tip_top[3], tip_top[0],
tip_1[0], tip_1[2],
tip_4[2], tip_4[0]]
ngon_12_zn = [tip_bot[0], tip_bot[1],
tip_2[3], tip_2[1],
tip_1[1], tip_1[3]]
ngon_23_zn = [tip_bot[1], tip_bot[2],
tip_3[3], tip_3[1],
tip_2[2], tip_2[3]]
ngon_34_zn = [tip_bot[2], tip_bot[3],
tip_4[3], tip_4[1],
tip_3[2], tip_3[3]]
ngon_41_zn = [tip_bot[3], tip_bot[0],
tip_1[3], tip_1[2],
tip_4[2], tip_4[3]]
# Fix vertex order (and fix normal at the same time)
tip_1 = tip_1[:2] + list(reversed(tip_1[2:]))
tip_2 = list(reversed(tip_2[:2])) + tip_2[2:]
tip_3 = list(reversed(tip_3[:2])) + tip_3[2:]
tip_4 = list(reversed(tip_4[:2])) + tip_4[2:]
# Invert face normals
tip_top = invert_face_normal(tip_top)
ngon_12_zn = invert_face_normal(ngon_12_zn)
ngon_23_zn = invert_face_normal(ngon_23_zn)
ngon_34_zn = invert_face_normal(ngon_34_zn)
ngon_41_zn = invert_face_normal(ngon_41_zn)
# Tip quads
faces.extend([tip_top, tip_bot])
faces.extend([tip_1, tip_2, tip_3, tip_4])
if star_ngons:
ngons = [ngon_12_zp, ngon_23_zp, ngon_34_zp, ngon_41_zp,
ngon_12_zn, ngon_23_zn, ngon_34_zn, ngon_41_zn]
# Create stars from octagons.
verts, faces_star = get_polygon_center(verts, ngons)
faces.extend(faces_star)
else:
# Create quads from hexagons.
ngons = [ngon_12_zp, ngon_23_zp, ngon_34_zp, ngon_41_zp]
for ngon in ngons:
# offset=2 Offset vertices so QUADS are created with
# orthagonal edges. Superficial change - Could be omitted.
hex_quads = ngon_fill(ngon, offset=2)
faces.extend(hex_quads)
ngons = [ngon_12_zn, ngon_23_zn, ngon_34_zn, ngon_41_zn]
for ngon in ngons:
# offset=1 Offset vertices so QUADS are created with
# orthagonal edges. Superficial change - Could be omitted.
hex_quads = ngon_fill(ngon, offset=1)
faces.extend(hex_quads)
return verts, faces
# http://en.wikipedia.org/wiki/Truncated_cuboctahedron
def add_truncated_cuboctahedron(
octagon_size=2.0 - (2.0 / sqrt(2.0)) * (2.0 / (4.0 / sqrt(2.0) + 1.0)),
octagon_side=2.0 / (4.0 / sqrt(2.0) + 1.0),
star_ngons=False):
size = 2.0
if (octagon_side < 0.0
or octagon_size < 0.0
or octagon_size < octagon_side
or octagon_size > size
or octagon_side > size):
return None, None
verts = []
faces = []
oside = octagon_side
# Vertices of a simple Cube
verts_cube = [
Vector((1.0, 1.0, 1.0)), # tip 0
Vector((1.0, -1.0, 1.0)), # tip 1
Vector((-1.0, -1.0, 1.0)), # tip 2
Vector((-1.0, 1.0, 1.0)), # tip 3
Vector((1.0, 1.0, -1.0)), # tip 4
Vector((1.0, -1.0, -1.0)), # tip 5
Vector((-1.0, -1.0, -1.0)), # tip 6
Vector((-1.0, 1.0, -1.0))] # tip 7
tri_xp_yp_zp = []
tri_xp_yn_zp = []
tri_xn_yp_zp = []
tri_xn_yn_zp = []
tri_xp_yp_zn = []
tri_xp_yn_zn = []
tri_xn_yp_zn = []
tri_xn_yn_zn = []
# Prepare top & bottom octagons.
oct_top = []
oct_bot = []
hex_0_zp = []
hex_1_zp = []
hex_2_zp = []
hex_3_zp = []
hex_0_zn = []
hex_1_zn = []
hex_2_zn = []
hex_3_zn = []
bevel_size = (size - octagon_size) / 2.0
# Top edges ####
bevel_z = Vector((0.0, 0.0, -bevel_size))
va, vb = subdivide_edge_2_cuts(verts_cube[0], verts_cube[1], oside)
va1, vb1 = va + Vector((-bevel_size, 0, 0)), vb + Vector((-bevel_size, 0, 0))
va2, vb2 = va + bevel_z, vb + bevel_z
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xp_yp_zp.append(va_idx)
#tri_xp_yn_zp.append(vb_idx)
oct_top.extend([va1_idx, vb1_idx])
quad_01_zp = [va1_idx, vb1_idx, vb2_idx, va2_idx]
hex_0_zp.extend([va2_idx, va1_idx])
hex_1_zp.extend([vb2_idx, vb1_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[1], verts_cube[2], oside)
va1, vb1 = va + Vector((0, bevel_size, 0)), vb + Vector((0, bevel_size, 0))
va2, vb2 = va + bevel_z, vb + bevel_z
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xp_yn_zp.append(va_idx)
#tri_xn_yn_zp.append(vb_idx)
oct_top.extend([va1_idx, vb1_idx])
quad_12_zp = [va1_idx, vb1_idx, vb2_idx, va2_idx]
hex_1_zp.extend([va1_idx, va2_idx])
hex_2_zp.extend([vb2_idx, vb1_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[2], verts_cube[3], oside)
va1, vb1 = va + Vector((bevel_size, 0, 0)), vb + Vector((bevel_size, 0, 0))
va2, vb2 = va + bevel_z, vb + bevel_z
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
oct_top.extend([va1_idx, vb1_idx])
quad_23_zp = [va1_idx, vb1_idx, vb2_idx, va2_idx]
hex_2_zp.extend([va1_idx, va2_idx])
hex_3_zp.extend([vb2_idx, vb1_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[3], verts_cube[0], oside)
va1, vb1 = va + Vector((0, -bevel_size, 0)), vb + Vector((0, -bevel_size, 0))
va2, vb2 = va + bevel_z, vb + bevel_z
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xn_yp_zp.append(va_idx)
#tri_xp_yp_zp.append(vb_idx)
oct_top.extend([va1_idx, vb1_idx])
quad_30_zp = [va1_idx, vb1_idx, vb2_idx, va2_idx]
hex_3_zp.extend([va1_idx, va2_idx])
hex_0_zp.extend([vb1_idx, vb2_idx])
# Top-down edges ####
va, vb = subdivide_edge_2_cuts(verts_cube[0], verts_cube[4], oside)
va1, vb1 = va + Vector((-bevel_size, 0, 0)), vb + Vector((-bevel_size, 0, 0))
va2, vb2 = va + Vector((0, -bevel_size, 0)), vb + Vector((0, -bevel_size, 0))
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xp_yp_zp.append(va_idx)
#tri_xp_yp_zn.append(vb_idx)
top_down_0_1 = [va1_idx, vb1_idx]
top_down_0_2 = [va2_idx, vb2_idx]
quad_04 = [vb1_idx, va1_idx, va2_idx, vb2_idx]
hex_0_zp.extend([va1_idx, va2_idx])
hex_0_zn.extend([vb1_idx, vb2_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[1], verts_cube[5], oside)
va1, vb1 = va + Vector((-bevel_size, 0, 0)), vb + Vector((-bevel_size, 0, 0))
va2, vb2 = va + Vector((0, bevel_size, 0)), vb + Vector((0, bevel_size, 0))
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xp_yn_zp.append(va_idx)
#tri_xp_yn_zn.append(vb_idx)
top_down_1_1 = [va1_idx, vb1_idx]
top_down_1_2 = [va2_idx, vb2_idx]
quad_15 = [va1_idx, vb1_idx, vb2_idx, va2_idx]
hex_1_zp.extend([va1_idx, va2_idx])
hex_1_zn.extend([vb1_idx, vb2_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[2], verts_cube[6], oside)
va1, vb1 = va + Vector((bevel_size, 0, 0)), vb + Vector((bevel_size, 0, 0))
va2, vb2 = va + Vector((0, bevel_size, 0)), vb + Vector((0, bevel_size, 0))
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xn_yn_zp.append(va_idx)
#tri_xn_yn_zn.append(vb_idx)
top_down_2_1 = [va1_idx, vb1_idx]
top_down_2_2 = [va2_idx, vb2_idx]
quad_26 = [vb1_idx, va1_idx, va2_idx, vb2_idx]
hex_2_zp.extend([va2_idx, va1_idx])
hex_2_zn.extend([vb2_idx, vb1_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[3], verts_cube[7], oside)
va1, vb1 = va + Vector((bevel_size, 0, 0)), vb + Vector((bevel_size, 0, 0))
va2, vb2 = va + Vector((0, -bevel_size, 0)), vb + Vector((0, -bevel_size, 0))
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xn_yp_zp.append(va_idx)
#tri_xn_yp_zn.append(vb_idx)
top_down_3_1 = [va1_idx, vb1_idx]
top_down_3_2 = [va2_idx, vb2_idx]
quad_37 = [va1_idx, vb1_idx, vb2_idx, va2_idx]
hex_3_zp.extend([va1_idx, va2_idx])
hex_3_zn.extend([vb1_idx, vb2_idx])
# Bottom edges ####
bevel_z = Vector((0.0, 0.0, bevel_size))
va, vb = subdivide_edge_2_cuts(verts_cube[4], verts_cube[5], oside)
va1, vb1 = va + Vector((-bevel_size, 0, 0)), vb + Vector((-bevel_size, 0, 0))
va2, vb2 = va + bevel_z, vb + bevel_z
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xp_yp_zn.append(va_idx)
#tri_xp_yn_zn.append(vb_idx)
oct_bot.extend([va1_idx, vb1_idx])
quad_45_zn = [vb1_idx, va1_idx, va2_idx, vb2_idx]
hex_0_zn.extend([va2_idx, va1_idx])
hex_1_zn.extend([vb2_idx, vb1_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[5], verts_cube[6], oside)
va1, vb1 = va + Vector((0, bevel_size, 0)), vb + Vector((0, bevel_size, 0))
va2, vb2 = va + bevel_z, vb + bevel_z
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xp_yn_zn.append(va_idx)
#tri_xn_yn_zn.append(vb_idx)
oct_bot.extend([va1_idx, vb1_idx])
quad_56_zn = [vb1_idx, va1_idx, va2_idx, vb2_idx]
hex_1_zn.extend([va1_idx, va2_idx])
hex_2_zn.extend([vb2_idx, vb1_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[6], verts_cube[7], oside)
va1, vb1 = va + Vector((bevel_size, 0, 0)), vb + Vector((bevel_size, 0, 0))
va2, vb2 = va + bevel_z, vb + bevel_z
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xn_yn_zn.append(va_idx)
#tri_xn_yp_zn.append(vb_idx)
oct_bot.extend([va1_idx, vb1_idx])
quad_67_zn = [vb1_idx, va1_idx, va2_idx, vb2_idx]
hex_2_zn.extend([va1_idx, va2_idx])
hex_3_zn.extend([vb2_idx, vb1_idx])
va, vb = subdivide_edge_2_cuts(verts_cube[7], verts_cube[4], oside)
va1, vb1 = va + Vector((0, -bevel_size, 0)), vb + Vector((0, -bevel_size, 0))
va2, vb2 = va + bevel_z, vb + bevel_z
va1_idx, vb1_idx = len(verts), len(verts) + 1
va2_idx, vb2_idx = len(verts) + 2, len(verts) + 3
verts.extend([va1, vb1, va2, vb2])
#tri_xn_yp_zn.append(va_idx)
#tri_xp_yp_zn.append(vb_idx)
oct_bot.extend([va1_idx, vb1_idx])
quad_74_zn = [vb1_idx, va1_idx, va2_idx, vb2_idx]
hex_3_zn.extend([va1_idx, va2_idx])
hex_0_zn.extend([vb1_idx, vb2_idx])
# Octagon polygons (n-gons)
oct_0 = [
top_down_0_2[1], top_down_0_2[0], quad_01_zp[3], quad_01_zp[2],
top_down_1_2[0], top_down_1_2[1], quad_45_zn[3], quad_45_zn[2]]
oct_1 = [
top_down_1_1[1], top_down_1_1[0], quad_12_zp[3], quad_12_zp[2],
top_down_2_1[0], top_down_2_1[1], quad_56_zn[3], quad_56_zn[2]]
oct_2 = [
top_down_2_2[1], top_down_2_2[0], quad_23_zp[3], quad_23_zp[2],
top_down_3_2[0], top_down_3_2[1], quad_67_zn[3], quad_67_zn[2]]
oct_3 = [
top_down_3_1[1], top_down_3_1[0], quad_30_zp[3], quad_30_zp[2],
top_down_0_1[0], top_down_0_1[1], quad_74_zn[3], quad_74_zn[2]]
# Invert face normals where needed.
oct_top = invert_face_normal(oct_top)
hex_0_zp = invert_face_normal(hex_0_zp)
hex_1_zn = invert_face_normal(hex_1_zn)
hex_2_zn = invert_face_normal(hex_2_zn)
hex_3_zn = invert_face_normal(hex_3_zn)
# Quads
faces.extend([quad_01_zp, quad_12_zp, quad_23_zp, quad_30_zp])
faces.extend([quad_04, quad_15, quad_26, quad_37])
faces.extend([quad_45_zn, quad_56_zn, quad_67_zn, quad_74_zn])
if star_ngons:
# Create stars from octagons.
ngons = [oct_top, oct_bot, oct_bot, oct_0, oct_1, oct_2, oct_3]
verts, faces_star = get_polygon_center(verts, ngons)
faces.extend(faces_star)
# Create stars from hexagons.
# @todo
else:
# Create quads from octagons.
# The top octagon is the only polygon we don't need to offset.
oct_quads = ngon_fill(oct_top)
faces.extend(oct_quads)
ngons = [oct_bot, oct_0, oct_1, oct_2, oct_3]
for ngon in ngons:
# offset=1 Offset vertices so QUADS are created with
# orthagonal edges. Superficial change - Could be omitted.
oct_quads = ngon_fill(ngon, offset=1)
faces.extend(oct_quads)
# Create quads from hexagons.
ngons = [hex_0_zp, hex_1_zp, hex_2_zp, hex_3_zp]
for ngon in ngons:
hex_quads = ngon_fill(ngon)
faces.extend(hex_quads)
hex_quads = ngon_fill(hex_0_zn, offset=2)
faces.extend(hex_quads)
ngons = [hex_1_zn, hex_2_zn, hex_3_zn]
for ngon in ngons:
hex_quads = ngon_fill(ngon, offset=1)
faces.extend(hex_quads)
return verts, faces
########################
class AddTruncatedTetrahedron(bpy.types.Operator):
'''Add a mesh for a truncated tetrahedron.'''
bl_idname = 'mesh.primitive_truncated_tetrahedron_add'
bl_label = 'Add Truncated Tetrahedron'
bl_description = 'Create a mesh for a truncated tetrahedron.'
bl_options = {'REGISTER', 'UNDO'}
# edit - Whether to add or update.
edit = BoolProperty(name='',
description='',
default=False,
options={'HIDDEN'})
hexagon_side = FloatProperty(name='Hexagon Side',
description='One length of the hexagon side' \
' (on the original tetrahedron edge).',
min=0.01,
max=2.0 * sqrt(2.0) - 0.01,
default=2.0 * sqrt(2.0) / 3.0)
star_ngons = BoolProperty(name='Star N-Gon',
description='Create star-shaped hexagons.',
default=False)
align_matrix = Matrix()
def execute(self, context):
props = self.properties
verts, faces = add_truncated_tetrahedron(
props.hexagon_side,
props.star_ngons)
if not verts:
return {'CANCELLED'}
obj = create_mesh_object(context, verts, [], faces,
'TrTetrahedron', props.edit, self.align_matrix)
# Store 'recall' properties in the object.
recall_args_list = {
'edit': True,
'hexagon_side': props.hexagon_side,
'star_ngons': props.star_ngons}
store_recall_properties(obj, self, recall_args_list)
return {'FINISHED'}
def invoke(self, context, event):
self.align_matrix = align_matrix(context)
self.execute(context)
return {'FINISHED'}
class AddCuboctahedron(bpy.types.Operator):
'''Add a mesh for a cuboctahedron (truncated cube).'''
bl_idname = 'mesh.primitive_cuboctahedron_add'
bl_label = 'Add Cuboctahedron or Truncated Cube'
bl_description = 'Create a mesh for a cuboctahedron (or truncated cube).'
bl_options = {'REGISTER', 'UNDO'}
# edit - Whether to add or update.
edit = BoolProperty(name='',
description='',
default=False,
options={'HIDDEN'})
octagon_side = FloatProperty(name='Octagon Side',
description='One length of the octagon side' \
' (on the original cube edge).' \
' 0: Cuboctahedron, >0: Truncated Cube',
min=0.00,
max=1.99,
default=0.0)
star_ngons = BoolProperty(name='Star N-Gon',
description='Create star-shaped octagons.',
default=False)
align_matrix = Matrix()
def execute(self, context):
props = self.properties
verts, faces, name = add_cuboctahedron(
props.octagon_side,
props.star_ngons)
if not verts:
return {'CANCELLED'}
obj = create_mesh_object(context, verts, [], faces, name, props.edit, self.align_matrix)
# Store 'recall' properties in the object.
recall_args_list = {
'edit': True,
'octagon_side': props.octagon_side,
'star_ngons': props.star_ngons}
store_recall_properties(obj, self, recall_args_list)
return {'FINISHED'}
def invoke(self, context, event):
self.align_matrix = align_matrix(context)
self.execute(context)
return {'FINISHED'}
class AddRhombicuboctahedron(bpy.types.Operator):
'''Add a mesh for a rhombicuboctahedron.'''
bl_idname = 'mesh.primitive_rhombicuboctahedron_add'
bl_label = 'Add Rhombicuboctahedron'
bl_description = 'Create a mesh for a rhombicuboctahedron.'
bl_options = {'REGISTER', 'UNDO'}
# edit - Whether to add or update.
edit = BoolProperty(name='',
description='',
default=False,
options={'HIDDEN'})
quad_size = FloatProperty(name="Quad Size",
description="Size of the orthogonal quad faces.",
min=0.01,
max=1.99,
default=sqrt(2.0) / (1.0 + sqrt(2) / 2.0))
align_matrix = Matrix()
def execute(self, context):
props = self.properties
verts, faces = add_rhombicuboctahedron(props.quad_size)
if not verts:
return {'CANCELLED'}
obj = create_mesh_object(context, verts, [], faces,
'Rhombicuboctahedron', props.edit, self.align_matrix)
# Store 'recall' properties in the object.
recall_args_list = {
'edit': True,
'quad_size': props.quad_size}
store_recall_properties(obj, self, recall_args_list)
return {'FINISHED'}
def invoke(self, context, event):
self.align_matrix = align_matrix(context)
self.execute(context)
return {'FINISHED'}
class AddTruncatedOctahedron(bpy.types.Operator):
'''Add a mesh for a truncated octahedron.'''
bl_idname = 'mesh.primitive_truncated_octahedron_add'
bl_label = 'Add Truncated Octahedron'
bl_description = 'Create a mesh for a truncated octahedron.'
bl_options = {'REGISTER', 'UNDO'}
# edit - Whether to add or update.
edit = BoolProperty(name='',
description='',
default=False,
options={'HIDDEN'})
hexagon_side = FloatProperty(name='Hexagon Side',
description='One length of the hexagon side' \
' (on the original octahedron edge).',
min=0.01,
max=sqrt(2) - 0.1,
default=sqrt(2) / 3.0)
star_ngons = BoolProperty(name='Star N-Gon',
description='Create star-shaped hexagons.',
default=False)
align_matrix = Matrix()
def execute(self, context):
props = self.properties
verts, faces = add_truncated_octahedron(
props.hexagon_side,
props.star_ngons)
if not verts:
return {'CANCELLED'}
obj = create_mesh_object(context, verts, [], faces,
'TrOctahedron', props.edit, self.align_matrix)
# Store 'recall' properties in the object.
recall_args_list = {
'edit': True,
'hexagon_side': props.hexagon_side,
'star_ngons': props.star_ngons}
store_recall_properties(obj, self, recall_args_list)
return {'FINISHED'}
def invoke(self, context, event):
self.align_matrix = align_matrix(context)
self.execute(context)
return {'FINISHED'}
class AddTruncatedCuboctahedron(bpy.types.Operator):
'''Add a mesh for a truncated cuboctahedron.'''
bl_idname = 'mesh.primitive_truncated_cuboctahedron_add'
bl_label = 'Add Truncated Cuboctahedron'
bl_description = 'Create a mesh for a truncated cuboctahedron.'
bl_options = {'REGISTER', 'UNDO'}
# edit - Whether to add or update.
edit = BoolProperty(name='',
description='',
default=False,
options={'HIDDEN'})
octagon_size = FloatProperty(name='Octagon Size',
description='The size (height/width) of the octagon.',
min=0.02,
max=1.99,
default=2.0 - (2.0 / sqrt(2.0)) * (2.0 / (4.0 / sqrt(2.0) + 1.0)))
octagon_side = FloatProperty(name='Octagon Side',
description='One length of the octagon side' \
' (on the original cube edge).',
min=0.01,
max=1.98,
default=2.0 / (4.0 / sqrt(2.0) + 1.0))
star_ngons = BoolProperty(name='Star N-Gon',
description='Create star-shaped octagons.',
default=False)
align_matrix = Matrix()
def execute(self, context):
props = self.properties
verts, faces = add_truncated_cuboctahedron(
props.octagon_size,
props.octagon_side,
props.star_ngons)
if not verts:
return {'CANCELLED'}
obj = create_mesh_object(context, verts, [], faces,
'TrCuboctahedron', props.edit, self.align_matrix)
# Store 'recall' properties in the object.
recall_args_list = {
'edit': True,
'octagon_size': props.octagon_size,
'octagon_side': props.octagon_side,
'star_ngons': props.star_ngons}
store_recall_properties(obj, self, recall_args_list)
return {'FINISHED'}
def invoke(self, context, event):
self.align_matrix = align_matrix(context)
self.execute(context)
return {'FINISHED'}
class INFO_MT_mesh_archimedean_solids_add(bpy.types.Menu):
# Define the "Archimedean Solids" menu
bl_idname = "INFO_MT_mesh_archimedean_solids_add"
bl_label = "Archimedean Solids"
def draw(self, context):
layout = self.layout
layout.operator_context = 'INVOKE_REGION_WIN'
layout.operator("mesh.primitive_truncated_tetrahedron_add",
text="Truncated Tetrahedron")
layout.operator("mesh.primitive_cuboctahedron_add",
text="Cuboctahedron or Truncated Cube")
layout.operator("mesh.primitive_rhombicuboctahedron_add",
text="Rhombicuboctahedron")
layout.operator("mesh.primitive_truncated_octahedron_add",
text="Truncated Octahedron")
layout.operator("mesh.primitive_truncated_cuboctahedron_add",
text="Truncated Cuboctahedron")
########################
import space_info
# Define "Archimedean Solids" menu
menu_func = (lambda self, context: self.layout.menu(
"INFO_MT_mesh_archimedean_solids_add", icon="PLUGIN"))
def register():
# Register the operators/menus.
bpy.types.register(AddTruncatedTetrahedron)
bpy.types.register(AddCuboctahedron)
bpy.types.register(AddRhombicuboctahedron)
bpy.types.register(AddTruncatedOctahedron)
bpy.types.register(AddTruncatedCuboctahedron)
bpy.types.register(INFO_MT_mesh_archimedean_solids_add)
# Add "Archimedean Solids" menu to the "Add Mesh" menu
space_info.INFO_MT_mesh_add.append(menu_func)
def unregister():
# Unregister the operators/menus.
bpy.types.unregister(AddTruncatedTetrahedron)
bpy.types.unregister(AddCuboctahedron)
bpy.types.unregister(AddRhombicuboctahedron)
bpy.types.unregister(AddTruncatedOctahedron)
bpy.types.unregister(AddTruncatedCuboctahedron)
bpy.types.unregister(INFO_MT_mesh_archimedean_solids_add)
# Remove "Archimedean Solids" menu from the "Add Mesh" menu.
space_info.INFO_MT_mesh_add.remove(menu_func)
if __name__ == "__main__":
register()
|