325:
357:
432:
398:
232:
422:
284:
250:
333:
212:
391:
242:
120:
is a maximal simplex, that is a simplex that is not a face of another simplex of the complex. For (boundary complexes of)
116:
72:
a polyhedron is to find and join such facets to form the faces of a new polyhedron; this is the reciprocal process to
437:
384:
86:
20:
270:
52:
266:
151:
343:
incorrectly led you here, you may wish to change the link to point directly to the intended article.
121:
427:
417:
194:
305:
280:
274:
246:
368:
236:
216:
186:
159:
106:
94:
62:
155:
411:
198:
279:, Algorithms and Computation in Mathematics, vol. 25, Springer, p. 493,
364:
336:
includes a list of related items that share the same name (or similar names).
190:
163:
74:
35:
313:
68:
43:
324:
308:
90:
79:
39:
27:
356:
57:
124:
this coincides with the meaning from polyhedral combinatorics.
60:
whose corners are vertices of the polyhedron, and is not a
276:
Triangulations: Structures for
Algorithms and Applications
372:
340:
46:
one less than the structure itself. More specifically:
105: − 1)-face or hyperface) is also called a
142:Bridge, N.J. (1974). "Facetting the dodecahedron".
330:Index of articles associated with the same name
42:, or related geometric structure, generally of
78:and may also be applied to higher-dimensional
392:
8:
177:Inchbald, G. (2006). "Facetting diagrams".
399:
385:
235:(2002), "5.3 Faces of a Convex Polytope",
245:, vol. 212, Springer, p. 86,
134:
16:Feature of a polyhedron, polytope, etc.
7:
353:
351:
371:. You can help Knowledge (XXG) by
14:
433:Set index articles on mathematics
50:In three-dimensional geometry, a
355:
323:
1:
243:Graduate Texts in Mathematics
238:Lectures in Discrete Geometry
117:facet of a simplicial complex
89:and in the general theory of
215:(1973), "6 Star-Polyjedra",
454:
350:
322:
18:
191:10.1017/S0025557200179653
164:10.1107/S0567739474001306
423:Polyhedral combinatorics
179:The Mathematical Gazette
87:polyhedral combinatorics
367:-related article is a
144:Acta Crystallographica
21:Facet (disambiguation)
53:facet of a polyhedron
122:simplicial polytopes
101: − 1 (an (
19:For other uses, see
221:, Dover, p. 95
156:1974AcCrA..30..548B
97:that has dimension
306:Weisstein, Eric W.
267:De Loera, Jesús A.
34:is a feature of a
380:
379:
334:set index article
271:Santos, Francisco
218:Regular Polytopes
213:Coxeter, H. S. M.
445:
438:Polyhedron stubs
401:
394:
387:
359:
352:
344:
327:
319:
318:
291:
289:
269:; Rambau, Jörg;
263:
257:
255:
229:
223:
222:
209:
203:
202:
185:(518): 253–261.
174:
168:
167:
139:
453:
452:
448:
447:
446:
444:
443:
442:
408:
407:
406:
405:
348:
346:
345:
338:
337:
331:
304:
303:
300:
295:
294:
287:
265:
264:
260:
253:
231:
230:
226:
211:
210:
206:
176:
175:
171:
141:
140:
136:
131:
24:
17:
12:
11:
5:
451:
449:
441:
440:
435:
430:
425:
420:
410:
409:
404:
403:
396:
389:
381:
378:
377:
360:
329:
328:
321:
320:
299:
298:External links
296:
293:
292:
285:
258:
251:
233:Matoušek, Jiří
224:
204:
169:
150:(4): 548–552.
133:
132:
130:
127:
126:
125:
112:
83:
15:
13:
10:
9:
6:
4:
3:
2:
450:
439:
436:
434:
431:
429:
426:
424:
421:
419:
416:
415:
413:
402:
397:
395:
390:
388:
383:
382:
376:
374:
370:
366:
361:
358:
354:
349:
342:
341:internal link
335:
326:
316:
315:
310:
307:
302:
301:
297:
288:
286:9783642129711
282:
278:
277:
272:
268:
262:
259:
254:
252:9780387953748
248:
244:
240:
239:
234:
228:
225:
220:
219:
214:
208:
205:
200:
196:
192:
188:
184:
180:
173:
170:
165:
161:
157:
153:
149:
145:
138:
135:
128:
123:
119:
118:
113:
110:
109:
104:
100:
96:
92:
88:
84:
81:
77:
76:
71:
70:
65:
64:
59:
55:
54:
49:
48:
47:
45:
41:
37:
33:
29:
22:
373:expanding it
362:
347:
312:
275:
261:
237:
227:
217:
207:
182:
178:
172:
147:
143:
137:
115:
107:
102:
98:
73:
67:
61:
51:
31:
25:
412:Categories
365:polyhedron
129:References
75:stellation
36:polyhedron
428:Polytopes
418:Polyhedra
314:MathWorld
199:233358800
91:polytopes
80:polytopes
44:dimension
273:(2010),
40:polytope
28:geometry
309:"Facet"
152:Bibcode
58:polygon
56:is any
339:If an
283:
249:
197:
363:This
332:This
195:S2CID
108:facet
69:facet
66:. To
32:facet
369:stub
281:ISBN
247:ISBN
95:face
93:, a
63:face
30:, a
187:doi
160:doi
148:A30
85:In
26:In
414::
311:.
241:,
193:.
183:90
181:.
158:.
146:.
114:A
38:,
400:e
393:t
386:v
375:.
317:.
290:.
256:.
201:.
189::
166:.
162::
154::
111:.
103:n
99:n
82:.
23:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.