16-cell honeycomb honeycomb
Source đź“ť
180:
165:
227:
135:
210:
120:
195:
150:
383:
365:
57:
107:
97:
87:
77:
67:
399:
102:
92:
82:
72:
62:
339:
32:
356:
291:
307:
39:
226:
379:
361:
327:
311:
230:
179:
164:
123:
386:(Chapter 10: Regular honeycombs in hyperbolic space, Summary tables II, III, IV, V, p212-213)
283:
275:
134:
209:
119:
49:
371:
351:
299:
393:
315:
245:
220:
287:
303:
198:
153:
213:
271:
183:
168:
194:
149:
368:. (Tables I and II: Regular polytopes and honeycombs, pp. 294–296)
138:
15:
23:
326:It is related to the regular Euclidean 4-space
8:
18:
360:, 3rd. ed., Dover Publications, 1973.
376:The Beauty of Geometry: Twelve Essays
7:
14:
225:
208:
193:
178:
163:
148:
133:
118:
105:
100:
95:
90:
85:
80:
75:
70:
65:
60:
55:
260:
244:
236:
219:
204:
189:
174:
159:
144:
129:
114:
48:
38:
28:
1:
314:around each cell. It is self-
33:Hyperbolic regular honeycomb
19:16-cell honeycomb honeycomb
378:, Dover Publications, 1999
282:is one of five paracompact
280:16-cell honeycomb honeycomb
416:
310:{3,3,4,3,3}, it has three
340:List of regular polytopes
298:because it has infinite
302:, with all vertices as
400:Honeycombs (geometry)
322:Related honeycombs
312:16-cell honeycombs
306:at infinity. With
276:hyperbolic 5-space
357:Regular Polytopes
328:16-cell honeycomb
268:
267:
407:
294:). It is called
252:
229:
212:
197:
182:
167:
152:
137:
122:
110:
109:
108:
104:
103:
99:
98:
94:
93:
89:
88:
84:
83:
79:
78:
74:
73:
69:
68:
64:
63:
59:
58:
16:
415:
414:
410:
409:
408:
406:
405:
404:
390:
389:
348:
336:
324:
308:Schläfli symbol
255:
250:
106:
101:
96:
91:
86:
81:
76:
71:
66:
61:
56:
54:
50:Coxeter diagram
40:Schläfli symbol
12:
11:
5:
413:
411:
403:
402:
392:
391:
388:
387:
369:
347:
344:
343:
342:
335:
332:
323:
320:
300:vertex figures
286:space-filling
266:
265:
262:
258:
257:
253:
248:
242:
241:
238:
234:
233:
223:
217:
216:
206:
202:
201:
191:
187:
186:
176:
172:
171:
161:
157:
156:
146:
142:
141:
131:
127:
126:
116:
112:
111:
52:
46:
45:
42:
36:
35:
30:
26:
25:
21:
20:
13:
10:
9:
6:
4:
3:
2:
412:
401:
398:
397:
395:
385:
384:0-486-40919-8
381:
377:
373:
370:
367:
366:0-486-61480-8
363:
359:
358:
353:
350:
349:
345:
341:
338:
337:
333:
331:
330:, {3,3,4,3}.
329:
321:
319:
317:
313:
309:
305:
301:
297:
293:
289:
288:tessellations
285:
281:
277:
273:
263:
259:
249:
247:
246:Coxeter group
243:
239:
235:
232:
228:
224:
222:
221:Vertex figure
218:
215:
211:
207:
203:
200:
196:
192:
188:
185:
181:
177:
173:
170:
166:
162:
158:
155:
151:
147:
143:
140:
136:
132:
128:
125:
121:
117:
113:
53:
51:
47:
43:
41:
37:
34:
31:
27:
22:
17:
375:
355:
325:
304:ideal points
295:
279:
269:
44:{3,3,4,3,3}
296:paracompact
205:Edge figure
190:Face figure
175:Cell figure
24:(No image)
346:References
292:honeycombs
261:Properties
240:self-dual
231:{3,4,3,3}
124:{3,3,4,3}
394:Category
334:See also
272:geometry
264:Regular
372:Coxeter
352:Coxeter
284:regular
270:In the
214:{4,3,3}
139:{3,3,4}
130:4-faces
115:5-faces
382:
364:
278:, the
199:{3,3}
160:Faces
154:{3,3}
145:Cells
380:ISBN
362:ISBN
316:dual
290:(or
237:Dual
29:Type
274:of
256:,
184:{3}
169:{3}
396::
374:,
354:,
318:.
254:5
251:X
Index
Hyperbolic regular honeycomb
Schläfli symbol
Coxeter diagram
{3,3,4,3}
{3,3,4}
{3,3}
{3}
{3}
{3,3}
{4,3,3}
Vertex figure
{3,4,3,3}
Coxeter group
geometry
hyperbolic 5-space
regular
tessellations
honeycombs
vertex figures
ideal points
Schläfli symbol
16-cell honeycombs
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
↑