Online compendium of solutions to Connelly's problems in Euclidean geometry
Statuses of all problems: S (s) denotes that the problem is solvable and its solution is given, S (ns) denotes that the problem is proved solvable but its solution is not given, L that the problem is locus dependent, R that the problem is redundant, U that the problem is unsolvable, while UK denotes that the status of the problem is still unknown.
1. A, B, Ea S (s) |
2. A, B, Eb S (s) |
3. A, B, Ec S (s) |
4. A, B, N S (s) |
5. A, C, Ea S (s) |
6. A, C, Eb S (s) |
7. A, C, Ec S (s) |
8. A, C, N S (s) |
9. A, Ea, Eb S (s) |
10. A, Ea, Ec S (s) |
11. A, Ea, G S (s) |
12. A, Ea, H R |
13. A, Ea, Ha L |
14. A, Ea, Hb L |
15. A, Ea, Hc L |
16. A, Ea, I S (ns) |
17. A, Ea, Ma S (s) |
18. A, Ea, Mb S (s) |
19. A, Ea, Mc S (s) |
20. A, Ea, N S (s) |
21. A, Ea, O S (s) |
22. A, Ea, Ta S (s) |
23. A, Ea, Tb U |
24. A, Ea, Tc U |
25. A, Eb, Ec S (ns) |
26. A, Eb, G S (ns) |
27. A, Eb, H S (s) |
28. A, Eb, Ha S (s) |
29. A, Eb, Hb L |
30. A, Eb, Hc S (s) |
31. A, Eb, I UK |
32. A, Eb, Ma S (ns) |
33. A, Eb, Mb S (s) |
34. A, Eb, Mc S (s) |
35. A, Eb, N S (s) |
36. A, Eb, O S (ns) |
37. A, Eb, Ta UK |
38. A, Eb, Tb UK |
39. A, Eb, Tc UK |
40. A, Ec, G S (ns) |
41. A, Ec, H S (s) |
42. A, Ec, Ha S (s) |
43. A, Ec, Hb S (s) |
44. A, Ec, Hc L |
45. A, Ec, I UK |
46. A, Ec, Ma S (ns) |
47. A, Ec, Mb S (s) |
48. A, Ec, Mc S (s) |
49. A, Ec, N S (s) |
50. A, Ec, O S (ns) |
51. A, Ec, Ta UK |
52. A, Ec, Tb UK |
53. A, Ec, Tc UK |
54. A, G, N S (s) |
55. A, H, N S (s) |
56. A, Ha, N S (s) |
57. A, Hb, N S (s) |
58. A, Hc, N S (s) |
59. A, I, N UK |
60. A, Ma, N S (s) |
61. A, Mb, N S (s) |
62. A, Mc, N S (s) |
63. A, N, O S (s) |
64. A, N, Ta UK |
65. A, N, Tb UK |
66. A, N, Tc UK |
67. B, C, Ea S (s) |
68. B, C, Eb S (s) |
69. B, C, Ec S (s) |
70. B, C, N S (s) |
71. B, Ea, Eb S (s) |
72. B, Ea, Ec S (ns) |
73. B, Ea, G S (ns) |
74. B, Ea, H S (s) |
75. B, Ea, Ha L |
76. B, Ea, Hb S (s) |
77. B, Ea, Hc S (s) |
78. B, Ea, I UK |
79. B, Ea, Ma S (s) |
80. B, Ea, Mb S (ns) |
81. B, Ea, Mc S (s) |
82. B, Ea, N S (s) |
83. B, Ea, O S (ns) |
84. B, Ea, Ta UK |
85. B, Ea, Tb UK |
86. B, Ea, Tc UK |
87. B, Eb, Ec S (s) |
88. B, Eb, G S (s) |
89. B, Eb, H R |
90. B, Eb, Ha L |
91. B, Eb, Hb L |
92. B, Eb, Hc L |
93. B, Eb, I S (ns) |
94. B, Eb, Ma S (s) |
95. B, Eb, Mb S (s) |
96. B, Eb, Mc S (s) |
97. B, Eb, N S (s) |
98. B, Eb, O S (s) |
99. B, Eb, Ta U |
100. B, Eb, Tb S (s) |
101. B, Eb, Tc U |
102. B, Ec, G S (ns) |
103. B, Ec, H S (s) |
104. B, Ec, Ha S (s) |
105. B, Ec, Hb S (s) |
106. B, Ec, Hc L |
107. B, Ec, I UK |
108. B, Ec, Ma S (s) |
109. B, Ec, Mb S (ns) |
110. B, Ec, Mc S (s) |
111. B, Ec, N S (s) |
112. B, Ec, O S (ns) |
113. B, Ec, Ta UK |
114. B, Ec, Tb UK |
115. B, Ec, Tc UK |
116. B, G, N S (s) |
117. B, H, N S (s) |
118. B, Ha, N S (s) |
119. B, Hb, N S (s) |
120. B, Hc, N S (s) |
121. B, I, N UK |
122. B, Ma, N S (s) |
123. B, Mb, N S (s) |
124. B, Mc, N S (s) |
125. B, N, O S (s) |
126. B, N, Ta UK |
127. B, N, Tb UK |
128. B, N, Tc UK |
129. C, Ea, Eb S (ns) |
130. C, Ea, Ec S (s) |
131. C, Ea, G S (ns) |
132. C, Ea, H S (s) |
133. C, Ea, Ha L |
134. C, Ea, Hb S (s) |
135. C, Ea, Hc S (s) |
136. C, Ea, I UK |
137. C, Ea, Ma S (s) |
138. C, Ea, Mb S (s) |
139. C, Ea, Mc S (ns) |
140. C, Ea, N S (s) |
141. C, Ea, O S (ns) |
142. C, Ea, Ta UK |
143. C, Ea, Tb UK |
144. C, Ea, Tc UK |
145. C, Eb, Ec S (s) |
146. C, Eb, G S (ns) |
147. C, Eb, H S (s) |
148. C, Eb, Ha S (s) |
149. C, Eb, Hb L |
150. C, Eb, Hc S (s) |
151. C, Eb, I UK |
152. C, Eb, Ma S (s) |
153. C, Eb, Mb S (s) |
154. C, Eb, Mc S (ns) |
155. C, Eb, N S (s) |
156. C, Eb, O S (ns) |
157. C, Eb, Ta UK |
158. C, Eb, Tb UK |
159. C, Eb, Tc UK |
160. C, Ec, G S (s) |
161. C, Ec, H R |
162. C, Ec, Ha L |
163. C, Ec, Hb L |
164. C, Ec, Hc L |
165. C, Ec, I S (ns) |
166. C, Ec, Ma S (s) |
167. C, Ec, Mb S (s) |
168. C, Ec, Mc S (s) |
169. C, Ec, N S (s) |
170. C, Ec, O S (s) |
171. C, Ec, Ta U |
172. C, Ec, Tb U |
173. C, Ec, Tc S (s) |
174. C, G, N S (s) |
175. C, H, N S (s) |
176. C, Ha, N S (s) |
177. C, Hb, N S (s) |
178. C, Hc, N S (s) |
179. C, I, N UK |
180. C, Ma, N S (s) |
181. C, Mb, N S (s) |
182. C, Mc, N S (s) |
183. C, N, O S (s) |
184. C, N, Ta UK |
185. C, N, Tb UK |
186. C, N, Tc UK |
187. Ea, Eb, Ec S (s) |
188. Ea, Eb, G S (ns) |
189. Ea, Eb, H S (s) |
190. Ea, Eb, Ha S (s) |
191. Ea, Eb, Hb S (s) |
192. Ea, Eb, Hc S (s) |
193. Ea, Eb, I U |
194. Ea, Eb, Ma L |
195. Ea, Eb, Mb L |
196. Ea, Eb, Mc S (s) |
197. Ea, Eb, N L |
198. Ea, Eb, O S (ns) |
199. Ea, Eb, Ta UK |
200. Ea, Eb, Tb UK |
201. Ea, Eb, Tc UK |
202. Ea, Ec, G S (ns) |
203. Ea, Ec, H S (s) |
204. Ea, Ec, Ha S (s) |
205. Ea, Ec, Hb S (s) |
206. Ea, Ec, Hc S (s) |
207. Ea, Ec, I U |
208. Ea, Ec, Ma L |
209. Ea, Ec, Mb S (s) |
210. Ea, Ec, Mc L |
211. Ea, Ec, N L |
212. Ea, Ec, O S (ns) |
213. Ea, Ec, Ta UK |
214. Ea, Ec, Tb UK |
215. Ea, Ec, Tc UK |
216. Ea, G, H S (s) |
217. Ea, G, Ha S (s) |
218. Ea, G, Hb S (ns) |
219. Ea, G, Hc S (ns) |
220. Ea, G, I UK |
221. Ea, G, Ma S (s) |
222. Ea, G, Mb S (ns) |
223. Ea, G, Mc S (ns) |
224. Ea, G, N S (s) |
225. Ea, G, O S (s) |
226. Ea, G, Ta UK |
227. Ea, G, Tb UK |
228. Ea, G, Tc UK |
229. Ea, H, Ha L |
230. Ea, H, Hb L |
231. Ea, H, Hc L |
232. Ea, H, I S (ns) |
233. Ea, H, Ma S (s) |
234. Ea, H, Mb S (s) |
235. Ea, H, Mc S (s) |
236. Ea, H, N S (s) |
237. Ea, H, O S (s) |
238. Ea, H, Ta S (s) |
239. Ea, H, Tb U |
240. Ea, H, Tc U |
241. Ea, Ha, Hb S (s) |
242. Ea, Ha, Hc S (s) |
243. Ea, Ha, I S (ns) |
244. Ea, Ha, Ma L |
245. Ea, Ha, Mb S (s) |
246. Ea, Ha, Mc S (s) |
247. Ea, Ha, N L |
248. Ea, Ha, O S (s) |
249. Ea, Ha, Ta L |
250. Ea, Ha, Tb UK |
251. Ea, Ha, Tc UK |
252. Ea, Hb, Hc L |
253. Ea, Hb, I U |
254. Ea, Hb, Ma L |
255. Ea, Hb, Mb S (s) |
256. Ea, Hb, Mc S (s) |
257. Ea, Hb, N L |
258. Ea, Hb, O S (ns) |
259. Ea, Hb, Ta UK |
260. Ea, Hb, Tb U |
261. Ea, Hb, Tc UK |
262. Ea, Hc, I U |
263. Ea, Hc, Ma L |
264. Ea, Hc, Mb S (s) |
265. Ea, Hc, Mc S (s) |
266. Ea, Hc, N L |
267. Ea, Hc, O S (ns) |
268. Ea, Hc, Ta UK |
269. Ea, Hc, Tb UK |
270. Ea, Hc, Tc U |
271. Ea, I, Ma S (s) |
272. Ea, I, Mb UK |
273. Ea, I, Mc UK |
274. Ea, I, N S (s) |
275. Ea, I, O UK |
276. Ea, I, Ta UK |
277. Ea, I, Tb UK |
278. Ea, I, Tc UK |
279. Ea, Ma, Mb L |
280. Ea, Ma, Mc L |
281. Ea, Ma, N R |
282. Ea, Ma, O S (s) |
283. Ea, Ma, Ta S (ns) |
284. Ea, Ma, Tb UK |
285. Ea, Ma, Tc UK |
286. Ea, Mb, Mc S (s) |
287. Ea, Mb, N L |
288. Ea, Mb, O S (s) |
289. Ea, Mb, Ta UK |
290. Ea, Mb, Tb UK |
291. Ea, Mb, Tc UK |
292. Ea, Mc, N L |
293. Ea, Mc, O S (s) |
294. Ea, Mc, Ta UK |
295. Ea, Mc, Tb UK |
296. Ea, Mc, Tc UK |
297. Ea, N, O S (s) |
298. Ea, N, Ta S (ns) |
299. Ea, N, Tb UK |
300. Ea, N, Tc UK |
301. Ea, O, Ta UK |
302. Ea, O, Tb UK |
303. Ea, O, Tc UK |
304. Ea, Ta, Tb UK |
305. Ea, Ta, Tc UK |
306. Ea, Tb, Tc UK |
307. Eb, Ec, G S (ns) |
308. Eb, Ec, H S (s) |
309. Eb, Ec, Ha S (s) |
310. Eb, Ec, Hb S (s) |
311. Eb, Ec, Hc S (s) |
312. Eb, Ec, I U |
313. Eb, Ec, Ma S (s) |
314. Eb, Ec, Mb L |
315. Eb, Ec, Mc L |
316. Eb, Ec, N L |
317. Eb, Ec, O S (ns) |
318. Eb, Ec, Ta UK |
319. Eb, Ec, Tb UK |
320. Eb, Ec, Tc UK |
321. Eb, G, H S (s) |
322. Eb, G, Ha S (ns) |
323. Eb, G, Hb S (s) |
324. Eb, G, Hc S (ns) |
325. Eb, G, I UK |
326. Eb, G, Ma S (ns) |
327. Eb, G, Mb S (s) |
328. Eb, G, Mc S (ns) |
329. Eb, G, N S (s) |
330. Eb, G, O S (s) |
331. Eb, G, Ta UK |
332. Eb, G, Tb UK |
333. Eb, G, Tc UK |
334. Eb, H, Ha L |
335. Eb, H, Hb L |
336. Eb, H, Hc L |
337. Eb, H, I S (ns) |
338. Eb, H, Ma S (s) |
339. Eb, H, Mb S (s) |
340. Eb, H, Mc S (s) |
341. Eb, H, N S (s) |
342. Eb, H, O S (s) |
343. Eb, H, Ta U |
344. Eb, H, Tb S (s) |
345. Eb, H, Tc U |
346. Eb, Ha, Hb S (s) |
347. Eb, Ha, Hc L |
348. Eb, Ha, I U |
349. Eb, Ha, Ma S (s) |
350. Eb, Ha, Mb L |
351. Eb, Ha, Mc S (s) |
352. Eb, Ha, N L |
353. Eb, Ha, O S (ns) |
354. Eb, Ha, Ta U |
355. Eb, Ha, Tb UK |
356. Eb, Ha, Tc UK |
357. Eb, Hb, Hc S (s) |
358. Eb, Hb, I S (ns) |
359. Eb, Hb, Ma S (s) |
360. Eb, Hb, Mb L |
361. Eb, Hb, Mc S (s) |
362. Eb, Hb, N L |
363. Eb, Hb, O S (s) |
364. Eb, Hb, Ta UK |
365. Eb, Hb, Tb L |
366. Eb, Hb, Tc UK |
367. Eb, Hc, I U |
368. Eb, Hc, Ma S (s) |
369. Eb, Hc, Mb L |
370. Eb, Hc, Mc S (s) |
371. Eb, Hc, N L |
372. Eb, Hc, O S (ns) |
373. Eb, Hc, Ta UK |
374. Eb, Hc, Tb UK |
375. Eb, Hc, Tc U |
376. Eb, I, Ma UK |
377. Eb, I, Mb S (s) |
378. Eb, I, Mc UK |
379. Eb, I, N S (s) |
380. Eb, I, O UK |
381. Eb, I, Ta UK |
382. Eb, I, Tb UK |
383. Eb, I, Tc UK |
384. Eb, Ma, Mb L |
385. Eb, Ma, Mc S (s) |
386. Eb, Ma, N L |
387. Eb, Ma, O S (s) |
388. Eb, Ma, Ta UK |
389. Eb, Ma, Tb UK |
390. Eb, Ma, Tc UK |
391. Eb, Mb, Mc L |
392. Eb, Mb, N R |
393. Eb, Mb, O S (s) |
394. Eb, Mb, Ta UK |
395. Eb, Mb, Tb S (ns) |
396. Eb, Mb, Tc UK |
397. Eb, Mc, N L |
398. Eb, Mc, O S (s) |
399. Eb, Mc, Ta UK |
400. Eb, Mc, Tb UK |
401. Eb, Mc, Tc UK |
402. Eb, N, O S (s) |
403. Eb, N, Ta UK |
404. Eb, N, Tb S (ns) |
405. Eb, N, Tc UK |
406. Eb, O, Ta UK |
407. Eb, O, Tb UK |
408. Eb, O, Tc UK |
409. Eb, Ta, Tb UK |
410. Eb, Ta, Tc UK |
411. Eb, Tb, Tc UK |
412. Ec, G, H S (s) |
413. Ec, G, Ha S (ns) |
414. Ec, G, Hb S (ns) |
415. Ec, G, Hc S (s) |
416. Ec, G, I UK |
417. Ec, G, Ma S (ns) |
418. Ec, G, Mb S (ns) |
419. Ec, G, Mc S (s) |
420. Ec, G, N S (s) |
421. Ec, G, O S (s) |
422. Ec, G, Ta UK |
423. Ec, G, Tb UK |
424. Ec, G, Tc UK |
425. Ec, H, Ha L |
426. Ec, H, Hb L |
427. Ec, H, Hc L |
428. Ec, H, I S (ns) |
429. Ec, H, Ma S (s) |
430. Ec, H, Mb S (s) |
431. Ec, H, Mc S (s) |
432. Ec, H, N S (s) |
433. Ec, H, O S (s) |
434. Ec, H, Ta U |
435. Ec, H, Tb U |
436. Ec, H, Tc S (s) |
437. Ec, Ha, Hb L |
438. Ec, Ha, Hc S (s) |
439. Ec, Ha, I U |
440. Ec, Ha, Ma S (s) |
441. Ec, Ha, Mb S (s) |
442. Ec, Ha, Mc L |
443. Ec, Ha, N L |
444. Ec, Ha, O S (ns) |
445. Ec, Ha, Ta U |
446. Ec, Ha, Tb UK |
447. Ec, Ha, Tc UK |
448. Ec, Hb, Hc S (s) |
449. Ec, Hb, I U |
450. Ec, Hb, Ma S (s) |
451. Ec, Hb, Mb S (s) |
452. Ec, Hb, Mc L |
453. Ec, Hb, N L |
454. Ec, Hb, O S (ns) |
455. Ec, Hb, Ta UK |
456. Ec, Hb, Tb U |
457. Ec, Hb, Tc UK |
458. Ec, Hc, I S (ns) |
459. Ec, Hc, Ma S (s) |
460. Ec, Hc, Mb S (s) |
461. Ec, Hc, Mc L |
462. Ec, Hc, N L |
463. Ec, Hc, O S (s) |
464. Ec, Hc, Ta UK |
465. Ec, Hc, Tb UK |
466. Ec, Hc, Tc L |
467. Ec, I, Ma UK |
468. Ec, I, Mb UK |
469. Ec, I, Mc S (s) |
470. Ec, I, N S (s) |
471. Ec, I, O UK |
472. Ec, I, Ta UK |
473. Ec, I, Tb UK |
474. Ec, I, Tc UK |
475. Ec, Ma, Mb S (s) |
476. Ec, Ma, Mc L |
477. Ec, Ma, N L |
478. Ec, Ma, O S (s) |
479. Ec, Ma, Ta UK |
480. Ec, Ma, Tb UK |
481. Ec, Ma, Tc UK |
482. Ec, Mb, Mc L |
483. Ec, Mb, N L |
484. Ec, Mb, O S (s) |
485. Ec, Mb, Ta UK |
486. Ec, Mb, Tb UK |
487. Ec, Mb, Tc UK |
488. Ec, Mc, N R |
489. Ec, Mc, O S (s) |
490. Ec, Mc, Ta UK |
491. Ec, Mc, Tb UK |
492. Ec, Mc, Tc S (ns) |
493. Ec, N, O S (s) |
494. Ec, N, Ta UK |
495. Ec, N, Tb UK |
496. Ec, N, Tc S (ns) |
497. Ec, O, Ta UK |
498. Ec, O, Tb UK |
499. Ec, O, Tc UK |
500. Ec, Ta, Tb UK |
501. Ec, Ta, Tc UK |
502. Ec, Tb, Tc UK |
503. G, H, N R |
504. G, Ha, N S (s) |
505. G, Hb, N S (s) |
506. G, Hc, N S (s) |
507. G, I, N U |
508. G, Ma, N S (s) |
509. G, Mb, N S (s) |
510. G, Mc, N S (s) |
511. G, N, O R |
512. G, N, Ta U |
513. G, N, Tb U |
514. G, N, Tc U |
515. H, Ha, N S (s) |
516. H, Hb, N S (s) |
517. H, Hc, N S (s) |
518. H, I, N U |
519. H, Ma, N S (s) |
520. H, Mb, N S (s) |
521. H, Mc, N S (s) |
522. H, N, O R |
523. H, N, Ta U |
524. H, N, Tb U |
525. H, N, Tc U |
526. Ha, Hb, N L |
527. Ha, Hc, N L |
528. Ha, I, N S (s) |
529. Ha, Ma, N L |
530. Ha, Mb, N L |
531. Ha, Mc, N L |
532. Ha, N, O S (s) |
533. Ha, N, Ta S (ns) |
534. Ha, N, Tb UK |
535. Ha, N, Tc UK |
536. Hb, Hc, N L |
537. Hb, I, N S (s) |
538. Hb, Ma, N L |
539. Hb, Mb, N L |
540. Hb, Mc, N L |
541. Hb, N, O S (s) |
542. Hb, N, Ta UK |
543. Hb, N, Tb S (ns) |
544. Hb, N, Tc UK |
545. Hc, I, N S (s) |
546. Hc, Ma, N L |
547. Hc, Mb, N L |
548. Hc, Mc, N L |
549. Hc, N, O S (s) |
550. Hc, N, Ta UK |
551. Hc, N, Tb UK |
552. Hc, N, Tc S (ns) |
553. I, Ma, N S (s) |
554. I, Mb, N S (s) |
555. I, Mc, N S (s) |
556. I, N, O U |
557. I, N, Ta UK |
558. I, N, Tb UK |
559. I, N, Tc UK |
560. Ma, Mb, N L |
561. Ma, Mc, N L |
562. Ma, N, O S (s) |
563. Ma, N, Ta S (ns) |
564. Ma, N, Tb UK |
565. Ma, N, Tc UK |
566. Mb, Mc, N L |
567. Mb, N, O S (s) |
568. Mb, N, Ta UK |
569. Mb, N, Tb S (ns) |
570. Mb, N, Tc UK |
571. Mc, N, O S (s) |
572. Mc, N, Ta UK |
573. Mc, N, Tb UK |
574. Mc, N, Tc S (ns) |
575. N, O, Ta U |
576. N, O, Tb U |
577. N, O, Tc U |
578. N, Ta, Tb UK |
579. N, Ta, Tc UK |
580. N, Tb, Tc UK |
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