81:
71:
53:
267:
301:
284:
170:
375:
338:
22:
189:
is a tetrahedron with 4 identical isosceles triangle faces. I'm wondering if there's a name for a tetrahedron with two sets of isosceles triangle faces, instead of fitting within a square cuboid, rather a general cuboid of all different lengths, so 4 edges are equal length and the remaining two edges
236:
This contradicts the definition of disphenoid. This should not be called a special case of a disphenoid. If a disphenoid is defined to have 4 congruent faces, it makes no sense to say that a special case is one with two pairs of congruent faces which are not all congruent. Other characterizations of
321:
would fit inside 4 vertices of a general cuboid, with its 6 edges being diagonals of the cuboid faces. If the cuboid had 3 different edge lengths, then you'd have scalene triangle faces in the disphenoid. I'll make a picture if I confirm this is true.
343:
Here's a not so great picture showing the rhombic dispenoid, apparently with exactly 3 sets of edge lengths, in upposite pairs. I labeled them with ABC, being the lengths of te cuboid sides, and AB implying length
133:
386:
This is a short article, but it seems to me that it is not a stub; it covers the subject reasonably completely. I would like to remove the stub notice, if nobody objects. —
430:
127:
401:
I tend to prefer non-stubs to have multiple text sections but it looks like it's long enough that some section headings could be added without much difficulty. —
425:
237:
the disphenoid contradict the inclusion of "digonal disphenoids" as disphenoids. I was going to cite this page but I can't because of this error.
103:
238:
94:
58:
363:
349:
327:
225:
195:
33:
220:
NOTE: If this is correct, it would contradict the definition here which says a disphenoid has 4 identical triangles.
359:
345:
323:
221:
191:
358:
Here's another attempt to show the varied forms, this time as 2D diagrams, edges colored by equal edge lengths.
406:
21:
242:
288:
271:
210:
39:
80:
214:
402:
102:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
305:
86:
374:
70:
52:
391:
253:
266:
300:
283:
169:
419:
387:
156:
337:
99:
155:
The
Coxeter book is upstairs now. I will add a detailed citation tomorrow. --
76:
178:
410:
395:
367:
353:
331:
246:
229:
199:
168:
159:
15:
298:
has 2 normal mirrors and 2-fold rotation symmetry (2*2),
98:, a collaborative effort to improve the coverage of
132:This article has not yet received a rating on the
8:
209:, as described in the vertex figures of the
19:
47:
281:has two normal mirror symmetry (*222),
49:
431:Unknown-priority mathematics articles
205:It looks like this shape is called a
7:
264:has a single mirror symmetry (*11),
92:This article is within the scope of
296:(tetragonal) disphenoid tetrahedron
38:It is of interest to the following
14:
252:Definitions in relation to their
112:Knowledge:WikiProject Mathematics
426:Start-Class mathematics articles
382:This article is no longer a stub
373:
336:
299:
282:
279:(digonal) disphenoid tetrahedron
265:
115:Template:WikiProject Mathematics
79:
69:
51:
20:
1:
411:17:30, 21 December 2011 (UTC)
396:17:27, 21 December 2011 (UTC)
247:21:04, 13 December 2013 (UTC)
160:04:37, 17 December 2006 (UTC)
106:and see a list of open tasks.
368:21:11, 5 February 2009 (UTC)
354:23:14, 4 February 2009 (UTC)
332:22:05, 4 February 2009 (UTC)
230:22:04, 2 February 2009 (UTC)
200:19:58, 2 February 2009 (UTC)
447:
190:can be different lengths.
131:
64:
46:
134:project's priority scale
95:WikiProject Mathematics
182:
28:This article is rated
289:Bitruncated tesseract
272:Cantitruncated 8-cell
211:bitruncated tesseract
172:
360:SockPuppetForTomruen
346:SockPuppetForTomruen
324:SockPuppetForTomruen
262:sphenoid tetrahedron
222:SockPuppetForTomruen
215:bitruncated_120-cell
192:SockPuppetForTomruen
118:mathematics articles
319:rhombic disphenoid
313:rhombic disphenoid
306:Bitruncated 5-cell
207:digonal disphenoid
183:
175:digonal disphenoid
165:Digonal disphenoid
87:Mathematics portal
34:content assessment
177:inside a general
148:
147:
144:
143:
140:
139:
438:
377:
340:
317:It seems like a
303:
286:
269:
120:
119:
116:
113:
110:
89:
84:
83:
73:
66:
65:
55:
48:
31:
25:
24:
16:
446:
445:
441:
440:
439:
437:
436:
435:
416:
415:
384:
315:
167:
153:
117:
114:
111:
108:
107:
85:
78:
32:on Knowledge's
29:
12:
11:
5:
444:
442:
434:
433:
428:
418:
417:
414:
413:
403:David Eppstein
383:
380:
379:
378:
344:sqrt(A*A+B*B).
342:
341:(222) symmetry
314:
311:
310:
309:
292:
275:
250:
249:
233:
232:
218:
166:
163:
152:
149:
146:
145:
142:
141:
138:
137:
130:
124:
123:
121:
104:the discussion
91:
90:
74:
62:
61:
56:
44:
43:
37:
26:
13:
10:
9:
6:
4:
3:
2:
443:
432:
429:
427:
424:
423:
421:
412:
408:
404:
400:
399:
398:
397:
393:
389:
381:
376:
372:
371:
370:
369:
365:
361:
356:
355:
351:
347:
339:
334:
333:
329:
325:
320:
312:
308:vertex figure
307:
302:
297:
293:
291:vertex figure
290:
285:
280:
276:
274:vertex figure
273:
268:
263:
259:
258:
257:
255:
248:
244:
240:
235:
234:
231:
227:
223:
219:
216:
212:
208:
204:
203:
202:
201:
197:
193:
188:
180:
176:
171:
164:
162:
161:
158:
150:
135:
129:
126:
125:
122:
105:
101:
97:
96:
88:
82:
77:
75:
72:
68:
67:
63:
60:
57:
54:
50:
45:
41:
35:
27:
23:
18:
17:
388:Mark Dominus
385:
357:
335:
318:
316:
295:
278:
261:
251:
239:50.177.1.160
206:
186:
184:
174:
154:
93:
40:WikiProjects
109:Mathematics
100:mathematics
59:Mathematics
30:Start-class
420:Categories
187:disphenoid
185:It says a
151:References
254:symmetry
157:Dominus
179:cuboid
36:scale.
407:talk
392:talk
364:talk
350:talk
328:talk
243:talk
226:talk
213:and
196:talk
128:???
422::
409:)
394:)
366:)
352:)
330:)
304:,
294:A
287:,
277:A
270:,
260:A
256::
245:)
228:)
198:)
173:A
405:(
390:(
362:(
348:(
326:(
241:(
224:(
217:.
194:(
181:.
136:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
