Bounds and Dimensions on T60
r |
d |
pol | |
l.b. |
dim |
c.u.b. |
s.u.b. |
|
M |
N |
rank |
MDS |
delta |
mods |
1 |
1 |
4 | |
4 |
4 |
4 |
4 |
|
114 |
19 |
15 |
4 |
78 |
22,193 |
1 |
2 |
10 | |
-8 |
14 |
16 |
25 |
|
342 |
103 |
89 |
14 |
44 |
1,282,532 |
1 |
3 |
20 | |
-8 |
56 |
62 |
80 |
|
684 |
313 |
257 |
56 |
19 |
4,919,790 |
1 |
4 |
35 | |
64 |
170 |
184 |
218 |
|
1140 |
709 |
539 |
170 |
9 |
14,518,180 |
1 |
5 |
56 | |
268 |
416 |
442 |
488 |
|
1710 |
1351 |
935 |
416 |
4 |
40,767,544 |
1 |
6 |
84 | |
664 |
854 |
896 |
950 |
|
2394 |
2287 |
1445 |
842 |
2 |
101,262,945 |
1 |
7 |
120 | |
1312 |
1544 |
1606 |
1664 |
|
3192 |
3565 |
2069 |
1496 |
1 |
226,778,488 |
1 |
8 |
165 | |
2272 |
2546 |
2632 |
2690 |
|
4104 |
5185 |
2807 |
2378 |
1 |
454,078,829 |
1 |
9 |
220 | |
3604 |
3920 |
4034 |
4088 |
|
5130 |
7147 |
3659 |
3488 |
1 |
823,518,199 |
1 |
10 |
286 | |
5368 |
5726 |
5872 |
5918 |
|
6270 |
9451 |
4625 |
4826 |
0 |
1,410,831,713 |
1 |
11 |
364 | |
7624 |
8024 |
8206 |
8240 |
|
7524 |
12097 |
5705 |
6392 |
0 |
2,318,613,099 |
1 |
12 |
455 | |
10432 |
10874 |
11096 |
11114 |
|
8892 |
15085 |
6899 |
8186 |
0 |
3,566,387,762 |
1 |
13 |
560 | |
13852 |
14336 |
14602 |
14600 |
|
10374 |
18415 |
8207 |
10208 |
0 |
5,336,655,606 |
1 |
14 |
680 | |
17944 |
18470 |
18784 |
18758 |
|
11970 |
22087 |
9629 |
12458 |
0 |
7,759,690,021 |
1 |
15 |
816 | |
22768 |
23336 |
23648 |
23648 |
|
13680 |
26101 |
11165 |
14936 |
0 |
10,891,821,345 |
|
2 |
2 |
10 | |
10 |
10 |
10 |
10 |
|
456 |
103 |
93 |
10 |
70 |
982,965 |
2 |
3 |
20 | |
-31 |
21 |
23 |
35 |
|
1026 |
313 |
292 |
21 |
71 |
12,977,570 |
2 |
4 |
35 | |
-103 |
53 |
63 |
95 |
|
1824 |
709 |
656 |
53 |
49 |
71,270,525 |
2 |
5 |
56 | |
-157 |
133 |
156 |
206 |
|
2850 |
1351 |
1218 |
133 |
33 |
286,843,715 |
2 |
6 |
84 | |
-133 |
295 |
339 |
417 |
|
4104 |
2299 |
2004 |
295 |
28 |
949,440,679 |
2 |
7 |
120 | |
29 |
595 |
668 |
777 |
|
5586 |
3613 |
3018 |
595 |
21 |
2,526,630,718 |
2 |
8 |
165 | |
389 |
1093 |
1203 |
1335 |
|
7296 |
5353 |
4260 |
1093 |
14 |
5,905,364,662 |
2 |
9 |
220 | |
1007 |
1849 |
2004 |
2151 |
|
9234 |
7567 |
5730 |
1837 |
10 |
11,775,813,196 |
2 |
10 |
286 | |
1943 |
2923 |
3131 |
3285 |
|
11400 |
10303 |
7428 |
2875 |
7 |
23,247,890,560 |
2 |
11 |
364 | |
3257 |
4375 |
4644 |
4797 |
|
13794 |
13609 |
9354 |
4255 |
5 |
40,198,914,501 |
|
3 |
3 |
20 | |
20 |
20 |
20 |
20 |
|
1140 |
313 |
293 |
20 |
69 |
13,833,805 |
3 |
4 |
35 | |
-49 |
35 |
37 |
50 |
|
2166 |
709 |
674 |
35 |
80 |
96,328,923 |
3 |
5 |
56 | |
-181 |
60 |
74 |
116 |
|
3534 |
1351 |
1291 |
60 |
76 |
484,100,896 |
3 |
6 |
84 | |
-349 |
120 |
156 |
234 |
|
5244 |
2299 |
2179 |
120 |
69 |
2,058,165,549 |
3 |
7 |
120 | |
-493 |
244 |
308 |
420 |
|
7296 |
3613 |
3369 |
244 |
64 |
7,063,183,731 |
3 |
8 |
165 | |
-553 |
460 |
564 |
723 |
|
9690 |
5353 |
4893 |
460 |
55 |
20,105,330,489 |
3 |
9 |
220 | |
-469 |
820 |
976 |
1192 |
|
12426 |
7579 |
6759 |
820 |
50 |
46,959,854,930 |
3 |
10 |
286 | |
-181 |
1384 |
1604 |
1876 |
|
15504 |
10351 |
8967 |
1384 |
44 |
90,712,329,460 |
3 |
11 |
364 | |
371 |
2212 |
2824 |
2824 |
|
18924 |
13729 |
11517 |
2212 |
40 |
163,129,801,468 |
|
4 |
4 |
35 | |
35 |
35 |
35 |
35 |
|
2280 |
709 |
674 |
35 |
80 |
100,106,850 |
4 |
5 |
56 | |
-61 |
56 |
58 |
71 |
|
3876 |
1351 |
1295 |
56 |
79 |
586,949,114 |
4 |
6 |
84 | |
-252 |
85 |
98 |
144 |
|
5928 |
2299 |
2214 |
85 |
82 |
2,866,628,030 |
4 |
7 |
120 | |
-522 |
138 |
176 |
270 |
|
8436 |
3613 |
3475 |
138 |
83 |
10,826,815,687 |
4 |
8 |
165 | |
-822 |
245 |
317 |
465 |
|
11400 |
5353 |
5108 |
245 |
85 |
33,947,990,514 |
4 |
9 |
220 | |
-1092 |
433 |
547 |
745 |
|
14820 |
7579 |
7146 |
433 |
83 |
93,897,782,908 |
4 |
10 |
286 | |
-1272 |
729 |
899 |
1159 |
|
18696 |
10351 |
9622 |
729 |
78 |
216,883,685,613 |
|
5 |
5 |
56 | |
56 |
56 |
56 |
56 |
|
3990 |
1351 |
1295 |
56 |
79 |
576,970,214 |
5 |
6 |
84 | |
-66 |
84 |
86 |
99 |
|
6270 |
2299 |
2215 |
84 |
81 |
3,026,075,070 |
5 |
7 |
120 | |
-315 |
120 |
130 |
180 |
|
9120 |
3613 |
3493 |
120 |
83 |
12,975,186,675 |
5 |
8 |
165 | |
-675 |
169 |
205 |
315 |
|
12540 |
5353 |
5184 |
169 |
92 |
45,409,995,387 |
5 |
9 |
220 | |
-1119 |
260 |
336 |
520 |
|
16530 |
7579 |
7319 |
260 |
96 |
124,150,822,353 |
5 |
10 |
286 | |
-1587 |
422 |
548 |
811 |
|
21090 |
10351 |
9929 |
422 |
89 |
290,371,257,726 |
|
6 |
6 |
84 | |
84 |
84 |
84 |
84 |
|
6384 |
2299 |
2215 |
84 |
81 |
2,968,715,808 |
6 |
7 |
120 | |
-63 |
120 |
122 |
135 |
|
9462 |
3613 |
3493 |
120 |
83 |
13,908,791,091 |
6 |
8 |
165 | |
-369 |
165 |
175 |
225 |
|
13224 |
5353 |
5188 |
165 |
92 |
48,993,449,660 |
6 |
9 |
220 | |
-818 |
221 |
256 |
370 |
|
17670 |
7579 |
7358 |
221 |
97 |
141,970,080,430 |
6 |
10 |
286 | |
-1394 |
305 |
386 |
586 |
|
22800 |
10351 |
10046 |
305 |
92 |
360,147,706,682 |
|
7 |
7 |
120 | |
120 |
120 |
120 |
120 |
|
9576 |
3613 |
3493 |
120 |
83 |
13,926,361,644 |
7 |
8 |
165 | |
-51 |
165 |
167 |
180 |
|
13566 |
5353 |
5188 |
165 |
92 |
47,529,206,972 |
7 |
9 |
220 | |
-413 |
220 |
230 |
280 |
|
18354 |
7579 |
7359 |
220 |
95 |
147,361,863,292 |
7 |
10 |
286 | |
-950 |
286 |
436 |
436 |
|
23940 |
10351 |
10065 |
286 |
92 |
396,420,694,150 |
|
8 |
8 |
165 | |
165 |
165 |
165 |
165 |
|
13680 |
5353 |
5188 |
165 |
92 |
47,146,606,823 |
8 |
9 |
220 | |
-29 |
220 |
222 |
235 |
|
18696 |
7579 |
7359 |
220 |
95 |
142,610,836,258 |
8 |
10 |
286 | |
-446 |
286 |
346 |
346 |
|
24624 |
10351 |
10065 |
286 |
92 |
392,072,521,399 |
|
Bounds and Dimensions on T60
shelling parameters: a0 = 1 a1 = 15 a2 = 33 a3 = 11
Combinatorics:
60 | tetrahedra |
114 | interior faces |
66 | interior edges |
11 | interior vertices |
| |
12 | boundary faces |
18 | boundary edges |
8 | boundary vertices |
| |
126 | faces total |
84 | edges total |
19 | vertices total |