Bounds and Dimensions on the double CT Split of Faces
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 |
|
54 |
21 |
17 |
4 |
86 |
16,028 |
1 |
2 |
10 | |
10 |
10 |
14 |
27 |
|
162 |
95 |
85 |
10 |
60 |
464,040 |
1 |
3 |
20 | |
52 |
52 |
65 |
88 |
|
324 |
259 |
207 |
52 |
22 |
2,724,942 |
1 |
4 |
35 | |
166 |
166 |
193 |
222 |
|
540 |
549 |
383 |
166 |
13 |
11,019,282 |
1 |
5 |
56 | |
388 |
388 |
434 |
464 |
|
810 |
1001 |
613 |
388 |
9 |
35,803,780 |
1 |
6 |
84 | |
754 |
754 |
824 |
850 |
|
1134 |
1615 |
897 |
718 |
8 |
93,581,402 |
1 |
7 |
120 | |
1300 |
1300 |
1399 |
1416 |
|
1512 |
2391 |
1235 |
1156 |
7 |
209,575,173 |
1 |
8 |
165 | |
2062 |
2062 |
2195 |
2198 |
|
1944 |
3329 |
1627 |
1702 |
6 |
417,056,647 |
1 |
9 |
220 | |
3076 |
3076 |
3248 |
3232 |
|
2430 |
4429 |
2073 |
2356 |
6 |
769,345,771 |
1 |
10 |
286 | |
4378 |
4378 |
4594 |
4554 |
|
2970 |
5691 |
2573 |
3118 |
6 |
1,311,681,738 |
1 |
11 |
364 | |
6004 |
6004 |
6269 |
6200 |
|
3564 |
7115 |
3127 |
3988 |
6 |
2,142,494,952 |
1 |
12 |
455 | |
7990 |
7990 |
8309 |
8206 |
|
4212 |
8701 |
3735 |
4966 |
6 |
3,311,023,232 |
1 |
13 |
560 | |
10372 |
10372 |
10750 |
10608 |
|
4914 |
10449 |
4397 |
6052 |
6 |
5,002,697,185 |
1 |
14 |
680 | |
13186 |
13186 |
13628 |
13442 |
|
5670 |
12359 |
5113 |
7246 |
6 |
7,258,752,289 |
1 |
15 |
816 | |
16468 |
16468 |
16979 |
16744 |
|
6480 |
14431 |
5883 |
8548 |
6 |
10,333,205,918 |
1 |
16 |
969 | |
20254 |
20254 |
20839 |
20550 |
|
7344 |
16665 |
6707 |
9958 |
6 |
14,201,690,640 |
1 |
17 |
1140 | |
24580 |
24580 |
25244 |
24896 |
|
8262 |
19061 |
7585 |
11476 |
6 |
19,396,783,990 |
1 |
18 |
1330 | |
29482 |
29482 |
30230 |
29818 |
|
9234 |
21619 |
8517 |
13102 |
5 |
25,778,501,201 |
1 |
19 |
1540 | |
34996 |
34996 |
35352 |
35352 |
|
10260 |
24339 |
9503 |
14836 |
5 |
33,944,713,139 |
|
2 |
2 |
10 | |
10 |
10 |
10 |
10 |
|
216 |
95 |
85 |
10 |
60 |
657,840 |
2 |
3 |
20 | |
3 |
20 |
23 |
37 |
|
486 |
259 |
239 |
20 |
79 |
4,792,174 |
2 |
4 |
35 | |
15 |
48 |
64 |
103 |
|
864 |
549 |
501 |
48 |
79 |
22,535,267 |
2 |
5 |
56 | |
81 |
130 |
169 |
226 |
|
1350 |
1001 |
871 |
130 |
52 |
79,224,452 |
2 |
6 |
84 | |
237 |
302 |
374 |
441 |
|
1944 |
1651 |
1349 |
302 |
40 |
211,629,413 |
2 |
7 |
120 | |
519 |
600 |
715 |
783 |
|
2646 |
2535 |
1935 |
600 |
26 |
519,037,629 |
2 |
8 |
165 | |
963 |
1060 |
1228 |
1287 |
|
3456 |
3689 |
2629 |
1060 |
21 |
1,161,647,894 |
2 |
9 |
220 | |
1605 |
1718 |
1949 |
1989 |
|
4374 |
5113 |
3431 |
1682 |
19 |
2,289,112,488 |
2 |
10 |
286 | |
2481 |
2610 |
2914 |
2925 |
|
5400 |
6807 |
4341 |
2466 |
17 |
4,139,442,949 |
2 |
11 |
364 | |
3627 |
3772 |
4159 |
4131 |
|
6534 |
8771 |
5359 |
3412 |
16 |
6,989,946,921 |
2 |
12 |
455 | |
5079 |
5240 |
5720 |
5643 |
|
7776 |
11005 |
6485 |
4520 |
15 |
11,249,191,779 |
2 |
13 |
560 | |
6873 |
7050 |
7633 |
7497 |
|
9126 |
13509 |
7719 |
5790 |
14 |
17,983,191,319 |
2 |
14 |
680 | |
9045 |
9238 |
9934 |
9729 |
|
10584 |
16283 |
9061 |
7222 |
13 |
26,886,685,465 |
2 |
15 |
816 | |
11631 |
11840 |
12659 |
12375 |
|
12150 |
19327 |
10511 |
8816 |
13 |
38,606,304,100 |
|
3 |
3 |
20 | |
20 |
20 |
20 |
20 |
|
540 |
259 |
239 |
20 |
79 |
5,972,653 |
3 |
4 |
35 | |
1 |
35 |
37 |
52 |
|
1026 |
549 |
514 |
35 |
77 |
39,536,309 |
3 |
5 |
56 | |
-15 |
56 |
69 |
124 |
|
1674 |
1001 |
945 |
56 |
76 |
188,389,378 |
3 |
6 |
84 | |
5 |
108 |
152 |
254 |
|
2484 |
1651 |
1543 |
108 |
87 |
607,106,067 |
3 |
7 |
120 | |
97 |
232 |
322 |
460 |
|
3456 |
2535 |
2303 |
232 |
72 |
1,682,777,822 |
3 |
8 |
165 | |
297 |
464 |
615 |
777 |
|
4590 |
3689 |
3225 |
464 |
62 |
4,188,925,104 |
3 |
9 |
220 | |
641 |
840 |
1067 |
1240 |
|
5886 |
5149 |
4309 |
840 |
52 |
9,134,516,602 |
3 |
10 |
286 | |
1165 |
1396 |
1714 |
1884 |
|
7344 |
6951 |
5555 |
1396 |
47 |
16,062,914,860 |
3 |
11 |
364 | |
1905 |
2168 |
2592 |
2744 |
|
8964 |
9131 |
6963 |
2168 |
41 |
29,758,509,949 |
3 |
12 |
455 | |
2897 |
3192 |
3737 |
3856 |
|
10746 |
11689 |
8533 |
3156 |
37 |
48,741,668,373 |
3 |
13 |
560 | |
4177 |
4504 |
5185 |
5256 |
|
12690 |
14625 |
10265 |
4360 |
34 |
76,590,632,505 |
|
4 |
4 |
35 | |
35 |
35 |
35 |
35 |
|
1080 |
549 |
514 |
35 |
77 |
43,205,303 |
4 |
5 |
56 | |
5 |
56 |
58 |
73 |
|
1836 |
1001 |
945 |
56 |
76 |
242,374,417 |
4 |
6 |
84 | |
-38 |
84 |
96 |
152 |
|
2808 |
1651 |
1567 |
84 |
92 |
1,031,066,181 |
4 |
7 |
120 | |
-62 |
128 |
172 |
290 |
|
3996 |
2535 |
2407 |
128 |
96 |
3,417,086,010 |
4 |
8 |
165 | |
-32 |
222 |
322 |
505 |
|
5400 |
3689 |
3467 |
222 |
96 |
9,034,411,268 |
4 |
9 |
220 | |
88 |
406 |
582 |
815 |
|
7020 |
5149 |
4743 |
406 |
87 |
20,151,278,899 |
4 |
10 |
286 | |
334 |
716 |
988 |
1255 |
|
8856 |
6951 |
6235 |
716 |
77 |
46,468,398,006 |
4 |
11 |
364 | |
742 |
1188 |
1576 |
1860 |
|
10908 |
9131 |
7943 |
1188 |
67 |
87,983,534,854 |
4 |
12 |
455 | |
1348 |
1858 |
2382 |
2665 |
|
13176 |
11725 |
9867 |
1858 |
59 |
149,303,001,915 |
4 |
13 |
560 | |
2188 |
2762 |
3442 |
3705 |
|
15660 |
14769 |
12007 |
2762 |
52 |
239,217,957,580 |
|
5 |
5 |
56 | |
56 |
56 |
56 |
56 |
|
1890 |
1001 |
945 |
56 |
76 |
262,963,351 |
5 |
6 |
84 | |
16 |
84 |
86 |
101 |
|
2970 |
1651 |
1567 |
84 |
92 |
1,202,713,938 |
5 |
7 |
120 | |
-53 |
120 |
131 |
188 |
|
4320 |
2535 |
2415 |
120 |
96 |
4,440,649,214 |
5 |
8 |
165 | |
-119 |
165 |
201 |
335 |
|
5940 |
3689 |
3524 |
165 |
94 |
13,548,481,466 |
5 |
9 |
220 | |
-149 |
234 |
332 |
560 |
|
7830 |
5149 |
4915 |
234 |
91 |
35,126,985,206 |
5 |
10 |
286 | |
-107 |
372 |
560 |
881 |
|
9990 |
6951 |
6579 |
372 |
97 |
74,201,985,948 |
5 |
11 |
364 | |
43 |
618 |
921 |
1316 |
|
12420 |
9131 |
8513 |
618 |
88 |
147,144,317,016 |
5 |
12 |
455 | |
337 |
1008 |
1451 |
1900 |
|
15120 |
11725 |
10717 |
1008 |
78 |
247,239,442,467 |
|
6 |
6 |
84 | |
84 |
84 |
84 |
84 |
|
3024 |
1651 |
1567 |
84 |
92 |
1,279,421,733 |
6 |
7 |
120 | |
35 |
120 |
122 |
137 |
|
4482 |
2535 |
2415 |
120 |
96 |
4,977,413,486 |
6 |
8 |
165 | |
-59 |
165 |
175 |
233 |
|
6264 |
3689 |
3524 |
165 |
94 |
15,114,969,743 |
6 |
9 |
220 | |
-166 |
220 |
252 |
390 |
|
8370 |
5149 |
4929 |
220 |
91 |
39,136,450,400 |
6 |
10 |
286 | |
-254 |
291 |
377 |
626 |
|
10800 |
6951 |
6660 |
291 |
95 |
95,968,042,838 |
6 |
11 |
364 | |
-288 |
402 |
586 |
959 |
|
13554 |
9131 |
8729 |
402 |
99 |
191,154,756,238 |
6 |
12 |
455 | |
-232 |
602 |
915 |
1407 |
|
16632 |
11725 |
11123 |
602 |
99 |
348,246,831,348 |
|
7 |
7 |
120 | |
120 |
120 |
120 |
120 |
|
4536 |
2535 |
2415 |
120 |
96 |
5,035,162,295 |
7 |
8 |
165 | |
63 |
165 |
167 |
182 |
|
6426 |
3689 |
3524 |
165 |
94 |
16,064,677,382 |
7 |
9 |
220 | |
-55 |
220 |
230 |
288 |
|
8694 |
5149 |
4929 |
220 |
91 |
43,142,154,899 |
7 |
10 |
286 | |
-202 |
286 |
316 |
456 |
|
11340 |
6951 |
6665 |
286 |
95 |
101,374,173,495 |
7 |
11 |
364 | |
-346 |
364 |
437 |
704 |
|
14364 |
9131 |
8767 |
364 |
99 |
228,201,446,995 |
7 |
12 |
455 | |
-454 |
463 |
629 |
1050 |
|
17766 |
11725 |
11262 |
463 |
99 |
440,724,862,679 |
|
8 |
8 |
165 | |
165 |
165 |
165 |
165 |
|
6480 |
3689 |
3524 |
165 |
94 |
16,676,233,772 |
8 |
9 |
220 | |
101 |
220 |
222 |
237 |
|
8856 |
5149 |
4929 |
220 |
91 |
46,843,933,733 |
8 |
10 |
286 | |
-40 |
286 |
296 |
354 |
|
11664 |
6951 |
6665 |
286 |
95 |
107,134,265,667 |
8 |
11 |
364 | |
-226 |
364 |
393 |
534 |
|
14904 |
9131 |
8767 |
364 |
99 |
239,255,049,517 |
8 |
12 |
455 | |
-425 |
455 |
524 |
795 |
|
18576 |
11725 |
11270 |
455 |
99 |
496,048,282,385 |
|
Bounds and Dimensions on the double CT Split of Faces
shelling parameters: a0 = 1 a1 = 17 a2 = 17 a3 = 1
Combinatorics:
36 | tetrahedra |
54 | interior faces |
20 | interior edges |
1 | interior vertices |
| |
36 | boundary faces |
54 | boundary edges |
20 | boundary vertices |
| |
90 | faces total |
74 | edges total |
21 | vertices total |