Bounds and Dimensions on generic double Clough-Tocher 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 |
|
30 |
9 |
5 |
4 |
100 |
2,405 |
1 |
2 |
10 | |
10 |
10 |
10 |
15 |
|
90 |
35 |
25 |
10 |
68 |
60,817 |
1 |
3 |
20 | |
20 |
20 |
23 |
40 |
|
180 |
95 |
75 |
20 |
59 |
347,411 |
1 |
4 |
35 | |
50 |
50 |
59 |
90 |
|
300 |
205 |
155 |
50 |
73 |
1,530,396 |
1 |
5 |
56 | |
116 |
116 |
134 |
176 |
|
450 |
381 |
265 |
116 |
49 |
5,371,969 |
1 |
6 |
84 | |
234 |
234 |
264 |
314 |
|
630 |
635 |
405 |
230 |
48 |
15,217,318 |
1 |
7 |
120 | |
420 |
420 |
465 |
520 |
|
840 |
979 |
575 |
404 |
40 |
36,987,255 |
1 |
8 |
165 | |
690 |
690 |
753 |
810 |
|
1080 |
1413 |
775 |
638 |
34 |
79,004,774 |
1 |
9 |
220 | |
1060 |
1060 |
1144 |
1200 |
|
1350 |
1937 |
1005 |
932 |
31 |
153,320,218 |
1 |
10 |
286 | |
1546 |
1546 |
1654 |
1706 |
|
1650 |
2551 |
1265 |
1286 |
29 |
274,995,234 |
1 |
11 |
364 | |
2164 |
2164 |
2299 |
2344 |
|
1980 |
3255 |
1555 |
1700 |
27 |
464,123,318 |
1 |
12 |
455 | |
2930 |
2930 |
3095 |
3130 |
|
2340 |
4049 |
1875 |
2174 |
26 |
744,420,676 |
1 |
13 |
560 | |
3860 |
3860 |
4058 |
4080 |
|
2730 |
4933 |
2225 |
2708 |
25 |
1,146,389,217 |
1 |
14 |
680 | |
4970 |
4970 |
5204 |
5210 |
|
3150 |
5907 |
2605 |
3302 |
24 |
1,704,189,338 |
1 |
15 |
816 | |
6276 |
6276 |
6549 |
6536 |
|
3600 |
6971 |
3015 |
3956 |
23 |
2,460,977,674 |
1 |
16 |
969 | |
7794 |
7794 |
8109 |
8074 |
|
4080 |
8125 |
3455 |
4670 |
23 |
3,463,099,644 |
1 |
17 |
1140 | |
9540 |
9540 |
9900 |
9840 |
|
4590 |
9369 |
3925 |
5444 |
22 |
4,768,673,057 |
1 |
18 |
1330 | |
11530 |
11530 |
11938 |
11850 |
|
5130 |
10703 |
4425 |
6278 |
22 |
6,437,940,877 |
1 |
19 |
1540 | |
13780 |
13780 |
14239 |
14120 |
|
5700 |
12127 |
4955 |
7172 |
21 |
8,546,333,037 |
1 |
20 |
1771 | |
16306 |
16306 |
16819 |
16666 |
|
6300 |
13641 |
5515 |
8126 |
21 |
11,169,652,889 |
1 |
21 |
2024 | |
19124 |
19124 |
19694 |
19504 |
|
6930 |
15245 |
6105 |
9140 |
21 |
14,403,043,120 |
1 |
22 |
2300 | |
22250 |
22250 |
22880 |
22650 |
|
7590 |
16939 |
6725 |
10214 |
20 |
18,339,480,633 |
1 |
23 |
2600 | |
25700 |
25700 |
26393 |
26120 |
|
8280 |
18723 |
7375 |
11348 |
20 |
23,096,271,179 |
1 |
24 |
2925 | |
29490 |
29490 |
30249 |
29930 |
|
9000 |
20597 |
8055 |
12542 |
20 |
28,785,128,695 |
1 |
25 |
3276 | |
33636 |
33636 |
34464 |
34096 |
|
9750 |
22561 |
8765 |
13796 |
20 |
35,548,021,986 |
|
2 |
2 |
10 | |
10 |
10 |
10 |
10 |
|
120 |
35 |
25 |
10 |
68 |
74,938 |
2 |
3 |
20 | |
15 |
20 |
20 |
25 |
|
270 |
95 |
75 |
20 |
59 |
699,947 |
2 |
4 |
35 | |
15 |
35 |
35 |
55 |
|
480 |
205 |
170 |
35 |
51 |
3,390,205 |
2 |
5 |
56 | |
21 |
58 |
64 |
106 |
|
750 |
381 |
323 |
58 |
66 |
13,446,176 |
2 |
6 |
84 | |
49 |
102 |
121 |
189 |
|
1080 |
639 |
537 |
102 |
72 |
37,054,491 |
2 |
7 |
120 | |
115 |
184 |
222 |
315 |
|
1470 |
995 |
811 |
184 |
66 |
93,267,526 |
2 |
8 |
165 | |
235 |
320 |
383 |
495 |
|
1920 |
1465 |
1145 |
320 |
56 |
211,349,996 |
2 |
9 |
220 | |
425 |
526 |
620 |
745 |
|
2430 |
2061 |
1539 |
522 |
48 |
445,076,990 |
2 |
10 |
286 | |
701 |
818 |
949 |
1081 |
|
3000 |
2795 |
1993 |
802 |
40 |
850,011,511 |
2 |
11 |
364 | |
1079 |
1212 |
1386 |
1519 |
|
3630 |
3679 |
2507 |
1172 |
34 |
1,524,552,334 |
2 |
12 |
455 | |
1575 |
1724 |
1947 |
2075 |
|
4320 |
4713 |
3081 |
1632 |
30 |
2,630,258,467 |
2 |
13 |
560 | |
2205 |
2370 |
2648 |
2765 |
|
5070 |
5897 |
3715 |
2182 |
27 |
4,264,520,719 |
2 |
14 |
680 | |
2985 |
3166 |
3505 |
3605 |
|
5880 |
7231 |
4409 |
2822 |
25 |
6,672,948,143 |
2 |
15 |
816 | |
3931 |
4128 |
4534 |
4611 |
|
6750 |
8715 |
5163 |
3552 |
23 |
10,190,096,794 |
2 |
16 |
969 | |
5059 |
5272 |
5751 |
5799 |
|
7680 |
10349 |
5977 |
4372 |
22 |
15,402,095,401 |
2 |
17 |
1140 | |
6385 |
6614 |
7172 |
7185 |
|
8670 |
12133 |
6851 |
5282 |
21 |
21,304,068,828 |
2 |
18 |
1330 | |
7925 |
8170 |
8813 |
8785 |
|
9720 |
14067 |
7785 |
6282 |
20 |
29,269,159,656 |
|
3 |
3 |
20 | |
20 |
20 |
20 |
20 |
|
300 |
95 |
75 |
20 |
59 |
965,612 |
3 |
4 |
35 | |
25 |
35 |
35 |
40 |
|
570 |
205 |
170 |
35 |
51 |
5,475,454 |
3 |
5 |
56 | |
21 |
56 |
56 |
76 |
|
930 |
381 |
325 |
56 |
61 |
24,687,556 |
3 |
6 |
84 | |
9 |
84 |
84 |
134 |
|
1380 |
639 |
555 |
84 |
67 |
89,084,252 |
3 |
7 |
120 | |
5 |
120 |
129 |
220 |
|
1920 |
995 |
875 |
120 |
73 |
262,362,780 |
3 |
8 |
165 | |
25 |
172 |
207 |
345 |
|
2550 |
1465 |
1293 |
172 |
77 |
655,893,605 |
3 |
9 |
220 | |
85 |
264 |
334 |
520 |
|
3270 |
2065 |
1801 |
264 |
83 |
1,418,817,742 |
3 |
10 |
286 | |
201 |
412 |
526 |
756 |
|
4080 |
2811 |
2399 |
412 |
82 |
2,826,999,776 |
3 |
11 |
364 | |
389 |
632 |
799 |
1064 |
|
4980 |
3719 |
3087 |
632 |
77 |
5,258,256,169 |
3 |
12 |
455 | |
665 |
940 |
1169 |
1460 |
|
5970 |
4801 |
3865 |
936 |
72 |
8,932,273,599 |
3 |
13 |
560 | |
1045 |
1352 |
1652 |
1960 |
|
7050 |
6069 |
4733 |
1336 |
67 |
14,684,912,555 |
3 |
14 |
680 | |
1545 |
1884 |
2264 |
2580 |
|
8220 |
7535 |
5691 |
1844 |
62 |
23,964,465,791 |
3 |
15 |
816 | |
2181 |
2552 |
3021 |
3336 |
|
9480 |
9211 |
6739 |
2472 |
59 |
36,845,145,082 |
|
4 |
4 |
35 | |
35 |
35 |
35 |
35 |
|
600 |
205 |
170 |
35 |
51 |
6,595,711 |
4 |
5 |
56 | |
41 |
56 |
56 |
61 |
|
1020 |
381 |
325 |
56 |
61 |
31,036,105 |
4 |
6 |
84 | |
34 |
84 |
84 |
104 |
|
1560 |
639 |
555 |
84 |
67 |
128,221,253 |
4 |
7 |
120 | |
10 |
120 |
120 |
170 |
|
2220 |
995 |
875 |
120 |
73 |
423,805,014 |
4 |
8 |
165 | |
-20 |
165 |
168 |
265 |
|
3000 |
1465 |
1300 |
165 |
77 |
1,226,598,189 |
4 |
9 |
220 | |
-40 |
221 |
240 |
395 |
|
3900 |
2065 |
1844 |
221 |
83 |
3,076,014,818 |
4 |
10 |
286 | |
-34 |
292 |
350 |
571 |
|
4920 |
2811 |
2519 |
292 |
81 |
6,882,313,476 |
4 |
11 |
364 | |
14 |
404 |
514 |
804 |
|
6060 |
3719 |
3315 |
404 |
80 |
13,579,047,595 |
4 |
12 |
455 | |
120 |
574 |
748 |
1105 |
|
7320 |
4805 |
4231 |
574 |
81 |
24,661,189,542 |
4 |
13 |
560 | |
300 |
818 |
1068 |
1485 |
|
8700 |
6085 |
5267 |
818 |
78 |
42,810,984,057 |
4 |
14 |
680 | |
570 |
1152 |
1490 |
1955 |
|
10200 |
7575 |
6423 |
1152 |
74 |
69,661,158,513 |
4 |
15 |
816 | |
946 |
1592 |
2030 |
2531 |
|
11820 |
9287 |
7699 |
1588 |
68 |
112,199,125,553 |
|
5 |
5 |
56 | |
56 |
56 |
56 |
56 |
|
1050 |
381 |
325 |
56 |
61 |
35,587,315 |
5 |
6 |
84 | |
64 |
84 |
84 |
89 |
|
1650 |
639 |
555 |
84 |
67 |
139,946,750 |
5 |
7 |
120 | |
55 |
120 |
120 |
140 |
|
2400 |
995 |
875 |
120 |
73 |
509,992,917 |
5 |
8 |
165 | |
25 |
165 |
165 |
215 |
|
3300 |
1465 |
1300 |
165 |
77 |
1,570,569,369 |
5 |
9 |
220 | |
-25 |
220 |
220 |
320 |
|
4350 |
2065 |
1845 |
220 |
82 |
4,151,544,825 |
5 |
10 |
286 | |
-79 |
286 |
292 |
461 |
|
5550 |
2811 |
2525 |
286 |
79 |
9,722,809,861 |
5 |
11 |
364 | |
-121 |
364 |
391 |
644 |
|
6900 |
3719 |
3355 |
364 |
78 |
21,302,593,572 |
5 |
12 |
455 | |
-135 |
458 |
533 |
880 |
|
8400 |
4805 |
4347 |
458 |
80 |
42,932,350,940 |
5 |
13 |
560 | |
-105 |
584 |
734 |
1180 |
|
10050 |
6085 |
5501 |
584 |
83 |
79,467,545,373 |
5 |
14 |
680 | |
-15 |
774 |
1010 |
1555 |
|
11850 |
7575 |
6801 |
774 |
87 |
134,178,694,944 |
5 |
15 |
816 | |
151 |
1040 |
1377 |
2016 |
|
13800 |
9291 |
8251 |
1040 |
87 |
214,757,616,904 |
|
6 |
6 |
84 | |
84 |
84 |
84 |
84 |
|
1680 |
639 |
555 |
84 |
67 |
154,658,903 |
6 |
7 |
120 | |
95 |
120 |
120 |
125 |
|
2490 |
995 |
875 |
120 |
73 |
533,808,981 |
6 |
8 |
165 | |
85 |
165 |
165 |
185 |
|
3480 |
1465 |
1300 |
165 |
77 |
1,716,040,179 |
6 |
9 |
220 | |
50 |
220 |
220 |
270 |
|
4650 |
2065 |
1845 |
220 |
82 |
4,831,794,819 |
6 |
10 |
286 | |
-14 |
286 |
286 |
386 |
|
6000 |
2811 |
2525 |
286 |
79 |
11,983,699,522 |
6 |
11 |
364 | |
-96 |
364 |
364 |
539 |
|
7530 |
3719 |
3355 |
364 |
78 |
27,106,253,469 |
6 |
12 |
455 | |
-180 |
455 |
464 |
735 |
|
9240 |
4805 |
4350 |
455 |
79 |
56,073,954,577 |
6 |
13 |
560 | |
-250 |
561 |
598 |
980 |
|
11130 |
6085 |
5524 |
561 |
82 |
107,339,855,991 |
6 |
14 |
680 | |
-290 |
685 |
780 |
1285 |
|
13200 |
7575 |
6890 |
685 |
84 |
192,916,367,672 |
6 |
15 |
816 | |
-284 |
840 |
1026 |
1661 |
|
15450 |
9291 |
8451 |
840 |
87 |
331,735,035,182 |
|
7 |
7 |
120 | |
120 |
120 |
120 |
120 |
|
2520 |
995 |
875 |
120 |
73 |
567,665,994 |
7 |
8 |
165 | |
135 |
165 |
165 |
170 |
|
3570 |
1465 |
1300 |
165 |
77 |
1,765,476,927 |
7 |
9 |
220 | |
125 |
220 |
220 |
240 |
|
4830 |
2065 |
1845 |
220 |
82 |
5,188,830,132 |
7 |
10 |
286 | |
86 |
286 |
286 |
336 |
|
6300 |
2811 |
2525 |
286 |
79 |
13,257,470,362 |
7 |
11 |
364 | |
14 |
364 |
364 |
464 |
|
7980 |
3719 |
3355 |
364 |
78 |
30,858,895,407 |
7 |
12 |
455 | |
-90 |
455 |
455 |
630 |
|
9870 |
4805 |
4350 |
455 |
79 |
65,281,611,211 |
7 |
13 |
560 | |
-210 |
560 |
563 |
840 |
|
11970 |
6085 |
5525 |
560 |
82 |
128,717,729,133 |
7 |
14 |
680 | |
-330 |
680 |
698 |
1100 |
|
14280 |
7575 |
6895 |
680 |
84 |
239,449,783,777 |
7 |
15 |
816 | |
-434 |
816 |
870 |
1416 |
|
16800 |
9291 |
8475 |
816 |
87 |
420,698,891,334 |
|
8 |
8 |
165 | |
165 |
165 |
165 |
165 |
|
3600 |
1465 |
1300 |
165 |
77 |
1,838,338,038 |
8 |
9 |
220 | |
185 |
220 |
220 |
225 |
|
4920 |
2065 |
1845 |
220 |
82 |
5,248,342,068 |
8 |
10 |
286 | |
176 |
286 |
286 |
306 |
|
6480 |
2811 |
2525 |
286 |
79 |
13,694,134,351 |
8 |
11 |
364 | |
134 |
364 |
364 |
414 |
|
8280 |
3719 |
3355 |
364 |
78 |
32,641,516,590 |
8 |
12 |
455 | |
55 |
455 |
455 |
555 |
|
10320 |
4805 |
4350 |
455 |
79 |
71,282,358,106 |
8 |
13 |
560 | |
-65 |
560 |
560 |
735 |
|
12600 |
6085 |
5525 |
560 |
82 |
144,138,728,487 |
8 |
14 |
680 | |
-215 |
680 |
680 |
960 |
|
15120 |
7575 |
6895 |
680 |
84 |
274,302,906,658 |
|
Bounds and Dimensions on generic double Clough-Tocher Split
shelling parameters: a0 = 1 a1 = 5 a2 = 5 a3 = 5
Combinatorics:
16 | tetrahedra |
30 | interior faces |
20 | interior edges |
5 | interior vertices |
| |
4 | boundary faces |
6 | boundary edges |
4 | boundary vertices |
| |
34 | faces total |
26 | edges total |
9 | vertices total |