Bounds and Dimensions on a generic type IV Split
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 |
|
36 |
15 |
11 |
4 |
100 |
8,357 |
1 |
2 |
10 | |
10 |
10 |
10 |
21 |
|
108 |
65 |
55 |
10 |
91 |
241,087 |
1 |
3 |
20 | |
40 |
40 |
42 |
64 |
|
216 |
175 |
135 |
40 |
82 |
1,488,071 |
1 |
4 |
35 | |
118 |
118 |
124 |
156 |
|
360 |
369 |
251 |
118 |
85 |
6,801,771 |
1 |
5 |
56 | |
268 |
268 |
280 |
320 |
|
540 |
671 |
403 |
268 |
52 |
23,404,419 |
1 |
6 |
84 | |
514 |
514 |
534 |
580 |
|
756 |
1081 |
591 |
490 |
45 |
63,387,736 |
1 |
7 |
120 | |
880 |
880 |
910 |
960 |
|
1008 |
1599 |
815 |
784 |
42 |
147,302,686 |
1 |
8 |
165 | |
1390 |
1390 |
1432 |
1484 |
|
1296 |
2225 |
1075 |
1150 |
40 |
303,917,410 |
1 |
9 |
220 | |
2068 |
2068 |
2124 |
2176 |
|
1620 |
2959 |
1371 |
1588 |
39 |
562,561,043 |
1 |
10 |
286 | |
2938 |
2938 |
3010 |
3060 |
|
1980 |
3801 |
1703 |
2098 |
39 |
998,759,663 |
1 |
11 |
364 | |
4024 |
4024 |
4114 |
4160 |
|
2376 |
4751 |
2071 |
2680 |
38 |
1,631,725,517 |
1 |
12 |
455 | |
5350 |
5350 |
5460 |
5500 |
|
2808 |
5809 |
2475 |
3334 |
38 |
2,580,788,418 |
1 |
13 |
560 | |
6940 |
6940 |
7072 |
7104 |
|
3276 |
6975 |
2915 |
4060 |
38 |
3,895,509,600 |
1 |
14 |
680 | |
8818 |
8818 |
8974 |
8996 |
|
3780 |
8249 |
3391 |
4858 |
38 |
5,803,876,866 |
1 |
15 |
816 | |
11008 |
11008 |
11190 |
11200 |
|
4320 |
9631 |
3903 |
5728 |
38 |
8,240,564,356 |
1 |
16 |
969 | |
13534 |
13534 |
13744 |
13740 |
|
4896 |
11121 |
4451 |
6670 |
38 |
11,578,256,695 |
1 |
17 |
1140 | |
16420 |
16420 |
16660 |
16640 |
|
5508 |
12719 |
5035 |
7684 |
38 |
15,529,586,320 |
1 |
18 |
1330 | |
19690 |
19690 |
19962 |
19924 |
|
6156 |
14425 |
5655 |
8770 |
38 |
20,898,981,377 |
1 |
19 |
1540 | |
23368 |
23368 |
23674 |
23616 |
|
6840 |
16239 |
6311 |
9928 |
38 |
28,196,445,038 |
1 |
20 |
1771 | |
27478 |
27478 |
27820 |
27740 |
|
7560 |
18161 |
7003 |
11158 |
38 |
35,982,411,764 |
1 |
21 |
2024 | |
32044 |
32044 |
32424 |
32320 |
|
8316 |
20191 |
7731 |
12460 |
38 |
45,757,528,209 |
1 |
22 |
2300 | |
37090 |
37090 |
37510 |
37380 |
|
9108 |
22329 |
8495 |
13834 |
38 |
59,606,269,399 |
1 |
23 |
2600 | |
42640 |
42640 |
43102 |
42944 |
|
9936 |
24575 |
9295 |
15280 |
38 |
75,014,953,612 |
|
2 |
2 |
10 | |
10 |
10 |
10 |
10 |
|
144 |
65 |
55 |
10 |
91 |
320,371 |
2 |
3 |
20 | |
9 |
20 |
20 |
31 |
|
324 |
175 |
155 |
20 |
100 |
2,991,727 |
2 |
4 |
35 | |
21 |
35 |
45 |
79 |
|
576 |
369 |
334 |
35 |
95 |
17,883,420 |
2 |
5 |
56 | |
69 |
83 |
109 |
166 |
|
900 |
671 |
588 |
83 |
59 |
72,745,970 |
2 |
6 |
84 | |
177 |
191 |
236 |
315 |
|
1296 |
1105 |
914 |
191 |
47 |
238,386,380 |
2 |
7 |
120 | |
369 |
383 |
450 |
549 |
|
1764 |
1695 |
1312 |
383 |
40 |
682,043,931 |
2 |
8 |
165 | |
669 |
683 |
775 |
891 |
|
2304 |
2465 |
1782 |
683 |
35 |
1,642,208,152 |
2 |
9 |
220 | |
1101 |
1115 |
1235 |
1365 |
|
2916 |
3415 |
2324 |
1091 |
33 |
3,665,721,512 |
2 |
10 |
286 | |
1689 |
1703 |
1854 |
1995 |
|
3600 |
4545 |
2938 |
1607 |
31 |
7,485,967,095 |
2 |
11 |
364 | |
2457 |
2471 |
2656 |
2805 |
|
4356 |
5855 |
3624 |
2231 |
30 |
13,844,470,469 |
2 |
12 |
455 | |
3429 |
3443 |
3665 |
3819 |
|
5184 |
7345 |
4382 |
2963 |
29 |
24,770,146,657 |
2 |
13 |
560 | |
4629 |
4643 |
4905 |
5061 |
|
6084 |
9015 |
5212 |
3803 |
28 |
41,466,818,697 |
2 |
14 |
680 | |
6081 |
6095 |
6400 |
6555 |
|
7056 |
10865 |
6114 |
4751 |
28 |
67,879,578,123 |
2 |
15 |
816 | |
7809 |
7823 |
8174 |
8325 |
|
8100 |
12895 |
7088 |
5807 |
27 |
107,935,188,564 |
2 |
16 |
969 | |
9837 |
9851 |
10251 |
10395 |
|
9216 |
15105 |
8134 |
6971 |
27 |
166,205,194,494 |
|
3 |
3 |
20 | |
20 |
20 |
20 |
20 |
|
360 |
175 |
155 |
20 |
100 |
3,605,635 |
3 |
4 |
35 | |
13 |
35 |
35 |
46 |
|
684 |
369 |
334 |
35 |
95 |
23,538,558 |
3 |
5 |
56 | |
9 |
56 |
56 |
100 |
|
1116 |
671 |
615 |
56 |
97 |
119,452,110 |
3 |
6 |
84 | |
29 |
84 |
105 |
194 |
|
1656 |
1105 |
1021 |
84 |
96 |
459,446,770 |
3 |
7 |
120 | |
97 |
158 |
206 |
340 |
|
2304 |
1695 |
1537 |
158 |
97 |
1,338,123,278 |
3 |
8 |
165 | |
237 |
304 |
383 |
561 |
|
3060 |
2465 |
2161 |
304 |
96 |
3,353,540,149 |
3 |
9 |
220 | |
473 |
546 |
660 |
880 |
|
3924 |
3439 |
2893 |
546 |
96 |
7,562,067,994 |
3 |
10 |
286 | |
829 |
908 |
1061 |
1320 |
|
4896 |
4641 |
3733 |
908 |
96 |
16,043,783,694 |
3 |
11 |
364 | |
1329 |
1414 |
1610 |
1904 |
|
5976 |
6095 |
4681 |
1414 |
96 |
30,713,704,458 |
3 |
12 |
455 | |
1997 |
2088 |
2331 |
2656 |
|
7164 |
7801 |
5737 |
2064 |
97 |
56,760,907,305 |
3 |
13 |
560 | |
2857 |
2954 |
3248 |
3600 |
|
8460 |
9759 |
6901 |
2858 |
97 |
100,914,120,903 |
3 |
14 |
680 | |
3933 |
4036 |
4385 |
4760 |
|
9864 |
11969 |
8173 |
3796 |
97 |
159,234,247,438 |
3 |
15 |
816 | |
5249 |
5358 |
5766 |
6160 |
|
11376 |
14431 |
9553 |
4878 |
97 |
257,790,893,742 |
|
4 |
4 |
35 | |
35 |
35 |
35 |
35 |
|
720 |
369 |
334 |
35 |
95 |
26,863,680 |
4 |
5 |
56 | |
23 |
56 |
56 |
67 |
|
1224 |
671 |
615 |
56 |
97 |
143,677,113 |
4 |
6 |
84 | |
4 |
84 |
84 |
128 |
|
1872 |
1105 |
1021 |
84 |
96 |
591,317,902 |
4 |
7 |
120 | |
-2 |
120 |
129 |
230 |
|
2664 |
1695 |
1575 |
120 |
99 |
1,996,517,686 |
4 |
8 |
165 | |
28 |
165 |
215 |
385 |
|
3600 |
2465 |
2300 |
165 |
99 |
5,574,581,519 |
4 |
9 |
220 | |
118 |
268 |
366 |
605 |
|
4680 |
3439 |
3171 |
268 |
98 |
13,956,681,630 |
4 |
10 |
286 | |
292 |
455 |
606 |
913 |
|
5904 |
4641 |
4186 |
455 |
97 |
31,192,391,881 |
4 |
11 |
364 | |
574 |
750 |
959 |
1332 |
|
7272 |
6095 |
5345 |
750 |
83 |
64,339,347,338 |
4 |
12 |
455 | |
988 |
1177 |
1449 |
1885 |
|
8784 |
7825 |
6648 |
1177 |
73 |
116,204,687,220 |
4 |
13 |
560 | |
1558 |
1760 |
2100 |
2595 |
|
10440 |
9855 |
8095 |
1760 |
54 |
208,352,742,240 |
4 |
14 |
680 | |
2308 |
2523 |
2936 |
3485 |
|
12240 |
12209 |
9686 |
2523 |
51 |
368,415,269,067 |
4 |
15 |
816 | |
3262 |
3490 |
3981 |
4579 |
|
14184 |
14887 |
11421 |
3466 |
49 |
576,994,232,107 |
|
5 |
5 |
56 | |
56 |
56 |
56 |
56 |
|
1260 |
671 |
615 |
56 |
97 |
154,971,846 |
5 |
6 |
84 | |
40 |
84 |
84 |
95 |
|
1980 |
1105 |
1021 |
84 |
96 |
649,696,204 |
5 |
7 |
120 | |
7 |
120 |
120 |
164 |
|
2880 |
1695 |
1575 |
120 |
99 |
2,234,061,622 |
5 |
8 |
165 | |
-23 |
165 |
165 |
275 |
|
3960 |
2465 |
2300 |
165 |
99 |
6,764,661,818 |
5 |
9 |
220 | |
-29 |
220 |
240 |
440 |
|
5220 |
3439 |
3219 |
220 |
99 |
17,497,938,247 |
5 |
10 |
286 | |
13 |
289 |
369 |
671 |
|
6660 |
4641 |
4352 |
289 |
98 |
41,624,863,811 |
5 |
11 |
364 | |
127 |
430 |
576 |
980 |
|
8280 |
6095 |
5665 |
430 |
98 |
81,810,008,060 |
5 |
12 |
455 | |
337 |
667 |
885 |
1390 |
|
10080 |
7825 |
7158 |
667 |
98 |
165,149,851,558 |
5 |
13 |
560 | |
667 |
1024 |
1320 |
1924 |
|
12060 |
9855 |
8831 |
1024 |
98 |
315,948,976,705 |
5 |
14 |
680 | |
1141 |
1525 |
1905 |
2605 |
|
14220 |
12209 |
10684 |
1525 |
98 |
538,633,087,929 |
|
6 |
6 |
84 | |
84 |
84 |
84 |
84 |
|
2016 |
1105 |
1021 |
84 |
96 |
690,738,754 |
6 |
7 |
120 | |
65 |
120 |
120 |
131 |
|
2988 |
1695 |
1575 |
120 |
99 |
2,381,605,438 |
6 |
8 |
165 | |
19 |
165 |
165 |
209 |
|
4176 |
2465 |
2300 |
165 |
99 |
7,487,546,573 |
6 |
9 |
220 | |
-34 |
220 |
220 |
330 |
|
5580 |
3439 |
3219 |
220 |
99 |
19,420,801,930 |
6 |
10 |
286 | |
-74 |
286 |
294 |
506 |
|
7200 |
4641 |
4355 |
286 |
98 |
47,561,115,806 |
6 |
11 |
364 | |
-78 |
364 |
411 |
749 |
|
9036 |
6095 |
5731 |
364 |
99 |
101,872,824,335 |
6 |
12 |
455 | |
-22 |
467 |
595 |
1071 |
|
11088 |
7825 |
7358 |
467 |
99 |
207,646,071,475 |
6 |
13 |
560 | |
118 |
654 |
870 |
1484 |
|
13356 |
9855 |
9201 |
654 |
99 |
398,680,258,841 |
6 |
14 |
680 | |
366 |
949 |
1260 |
2011 |
|
15840 |
12209 |
11260 |
949 |
99 |
709,503,346,290 |
|
7 |
7 |
120 | |
120 |
120 |
120 |
120 |
|
3024 |
1695 |
1575 |
120 |
99 |
2,459,924,002 |
7 |
8 |
165 | |
99 |
165 |
165 |
176 |
|
4284 |
2465 |
2300 |
165 |
99 |
7,657,646,090 |
7 |
9 |
220 | |
41 |
220 |
220 |
264 |
|
5796 |
3439 |
3219 |
220 |
99 |
21,076,463,929 |
7 |
10 |
286 | |
-34 |
286 |
286 |
396 |
|
7560 |
4641 |
4355 |
286 |
98 |
49,071,887,963 |
7 |
11 |
364 | |
-106 |
364 |
364 |
584 |
|
9576 |
6095 |
5731 |
364 |
99 |
113,175,165,911 |
7 |
12 |
455 | |
-154 |
455 |
474 |
840 |
|
11844 |
7825 |
7370 |
455 |
99 |
239,552,916,928 |
7 |
13 |
560 | |
-154 |
560 |
640 |
1176 |
|
14364 |
9855 |
9295 |
560 |
99 |
450,508,771,855 |
7 |
14 |
680 | |
-82 |
699 |
886 |
1604 |
|
17136 |
12209 |
11510 |
699 |
99 |
818,399,159,334 |
|
8 |
8 |
165 | |
165 |
165 |
165 |
165 |
|
4320 |
2465 |
2300 |
165 |
99 |
7,761,585,671 |
8 |
9 |
220 | |
143 |
220 |
220 |
231 |
|
5904 |
3439 |
3219 |
220 |
99 |
20,996,030,890 |
8 |
10 |
286 | |
74 |
286 |
286 |
330 |
|
7776 |
4641 |
4355 |
286 |
98 |
52,359,935,915 |
8 |
11 |
364 | |
-22 |
364 |
364 |
474 |
|
9936 |
6095 |
5731 |
364 |
99 |
120,061,913,693 |
8 |
12 |
455 | |
-125 |
455 |
455 |
675 |
|
12384 |
7825 |
7370 |
455 |
99 |
249,150,245,521 |
8 |
13 |
560 | |
-215 |
560 |
567 |
945 |
|
15120 |
9855 |
9295 |
560 |
99 |
494,819,555,851 |
8 |
14 |
680 | |
-269 |
680 |
724 |
1296 |
|
18144 |
12209 |
11529 |
680 |
99 |
932,515,731,333 |
|
Bounds and Dimensions on a generic type IV Split
shelling parameters: a0 = 1 a1 = 11 a2 = 11 a3 = 1
Combinatorics:
24 | tetrahedra |
36 | interior faces |
14 | interior edges |
1 | interior vertices |
| |
24 | boundary faces |
36 | boundary edges |
14 | boundary vertices |
| |
60 | faces total |
50 | edges total |
15 | vertices total |