Bounds and Dimensions on Rudin's Unshellable Triangulation
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 |
|
70 |
14 |
10 |
4 |
95 |
11,510 |
1 |
2 |
10 | |
-10 |
10 |
10 |
20 |
|
210 |
80 |
70 |
10 |
88 |
887,057 |
1 |
3 |
20 | |
0 |
20 |
41 |
60 |
|
420 |
240 |
220 |
20 |
97 |
9,010,091 |
1 |
4 |
35 | |
75 |
75 |
138 |
165 |
|
700 |
535 |
460 |
75 |
98 |
56,887,522 |
1 |
5 |
56 | |
256 |
256 |
342 |
376 |
|
1050 |
1006 |
750 |
256 |
92 |
221,277,185 |
1 |
6 |
84 | |
584 |
584 |
694 |
734 |
|
1470 |
1670 |
1110 |
560 |
88 |
650,030,914 |
1 |
7 |
120 | |
1100 |
1100 |
1235 |
1280 |
|
1960 |
2544 |
1540 |
1004 |
87 |
1,628,492,502 |
1 |
8 |
165 | |
1845 |
1845 |
2006 |
2055 |
|
2520 |
3628 |
2040 |
1588 |
86 |
3,542,474,108 |
1 |
9 |
220 | |
2860 |
2860 |
3048 |
3100 |
|
3150 |
4922 |
2610 |
2312 |
86 |
7,082,757,708 |
1 |
10 |
286 | |
4186 |
4186 |
4402 |
4456 |
|
3850 |
6426 |
3250 |
3176 |
86 |
12,678,563,623 |
1 |
11 |
364 | |
5864 |
5864 |
6109 |
6164 |
|
4620 |
8140 |
3960 |
4180 |
86 |
21,997,308,495 |
1 |
12 |
455 | |
7935 |
7935 |
8210 |
8265 |
|
5460 |
10064 |
4740 |
5324 |
86 |
35,530,122,388 |
1 |
13 |
560 | |
10440 |
10440 |
10746 |
10800 |
|
6370 |
12198 |
5590 |
6608 |
86 |
55,148,500,124 |
1 |
14 |
680 | |
13420 |
13420 |
13758 |
13810 |
|
7350 |
14542 |
6510 |
8032 |
86 |
82,878,714,805 |
1 |
15 |
816 | |
16916 |
16916 |
17287 |
17336 |
|
8400 |
17096 |
7500 |
9596 |
85 |
120,486,637,901 |
1 |
16 |
969 | |
20969 |
20969 |
21374 |
21419 |
|
9520 |
19860 |
8560 |
11300 |
85 |
172,387,469,487 |
1 |
17 |
1140 | |
25620 |
25620 |
26060 |
26100 |
|
10710 |
22834 |
9690 |
13144 |
85 |
236,830,754,411 |
|
2 |
2 |
10 | |
10 |
10 |
10 |
10 |
|
280 |
80 |
70 |
10 |
88 |
1,082,215 |
2 |
3 |
20 | |
-30 |
20 |
20 |
30 |
|
630 |
240 |
220 |
20 |
97 |
15,736,427 |
2 |
4 |
35 | |
-75 |
35 |
35 |
75 |
|
1120 |
535 |
500 |
35 |
91 |
91,789,892 |
2 |
5 |
56 | |
-84 |
56 |
88 |
156 |
|
1750 |
1006 |
950 |
56 |
93 |
412,627,288 |
2 |
6 |
84 | |
-16 |
84 |
220 |
314 |
|
2520 |
1694 |
1610 |
84 |
92 |
1,443,622,649 |
2 |
7 |
120 | |
170 |
232 |
472 |
590 |
|
3430 |
2640 |
2408 |
232 |
94 |
4,340,557,101 |
2 |
8 |
165 | |
515 |
581 |
885 |
1025 |
|
4480 |
3885 |
3304 |
581 |
88 |
11,189,359,011 |
2 |
9 |
220 | |
1060 |
1130 |
1500 |
1660 |
|
5670 |
5446 |
4340 |
1106 |
83 |
25,862,051,773 |
2 |
10 |
286 | |
1846 |
1920 |
2358 |
2536 |
|
7000 |
7340 |
5516 |
1824 |
52 |
53,653,262,508 |
2 |
11 |
364 | |
2914 |
2992 |
3500 |
3694 |
|
8470 |
9584 |
6832 |
2752 |
52 |
103,298,335,357 |
2 |
12 |
455 | |
4305 |
4387 |
4967 |
5175 |
|
10080 |
12178 |
8288 |
3890 |
50 |
186,598,935,327 |
2 |
13 |
560 | |
6060 |
6146 |
6800 |
7020 |
|
11830 |
15122 |
9884 |
5238 |
48 |
318,542,477,882 |
|
3 |
3 |
20 | |
20 |
20 |
20 |
20 |
|
700 |
240 |
220 |
20 |
97 |
19,030,345 |
3 |
4 |
35 | |
-45 |
35 |
35 |
45 |
|
1330 |
535 |
500 |
35 |
91 |
132,899,156 |
3 |
5 |
56 | |
-144 |
56 |
56 |
96 |
|
2170 |
1006 |
950 |
56 |
93 |
612,377,077 |
3 |
6 |
84 | |
-236 |
84 |
87 |
184 |
|
3220 |
1694 |
1610 |
84 |
92 |
2,281,505,551 |
3 |
7 |
120 | |
-280 |
120 |
169 |
320 |
|
4480 |
2640 |
2520 |
120 |
99 |
7,252,410,096 |
3 |
8 |
165 | |
-235 |
165 |
343 |
545 |
|
5950 |
3885 |
3720 |
165 |
98 |
20,424,480,117 |
3 |
9 |
220 | |
-60 |
220 |
650 |
900 |
|
7630 |
5470 |
5250 |
220 |
97 |
50,594,079,168 |
3 |
10 |
286 | |
286 |
560 |
1131 |
1426 |
|
9520 |
7436 |
6876 |
560 |
99 |
109,359,314,700 |
3 |
11 |
364 | |
844 |
1142 |
1827 |
2164 |
|
11620 |
9824 |
8682 |
1142 |
99 |
214,254,269,542 |
3 |
12 |
455 | |
1655 |
1977 |
2779 |
3155 |
|
13930 |
12651 |
10698 |
1953 |
98 |
398,675,312,173 |
|
4 |
4 |
35 | |
35 |
35 |
35 |
35 |
|
1400 |
535 |
500 |
35 |
91 |
154,903,315 |
4 |
5 |
56 | |
-54 |
56 |
56 |
66 |
|
2380 |
1006 |
950 |
56 |
93 |
787,496,389 |
4 |
6 |
84 | |
-206 |
84 |
84 |
124 |
|
3640 |
1694 |
1610 |
84 |
92 |
3,022,701,883 |
4 |
7 |
120 | |
-380 |
120 |
120 |
220 |
|
5180 |
2640 |
2520 |
120 |
99 |
9,747,692,057 |
4 |
8 |
165 | |
-535 |
165 |
179 |
365 |
|
7000 |
3885 |
3720 |
165 |
98 |
27,900,025,734 |
4 |
9 |
220 | |
-630 |
220 |
302 |
570 |
|
9100 |
5470 |
5250 |
220 |
97 |
73,248,453,867 |
4 |
10 |
286 | |
-624 |
286 |
530 |
876 |
|
11480 |
7436 |
7150 |
286 |
98 |
169,732,860,661 |
4 |
11 |
364 | |
-476 |
364 |
904 |
1324 |
|
14140 |
9824 |
9460 |
364 |
98 |
359,825,717,362 |
4 |
12 |
455 | |
-145 |
483 |
1465 |
1955 |
|
17080 |
12675 |
12192 |
483 |
99 |
700,339,290,906 |
|
5 |
5 |
56 | |
56 |
56 |
56 |
56 |
|
2450 |
1006 |
950 |
56 |
93 |
853,360,890 |
5 |
6 |
84 | |
-56 |
84 |
84 |
94 |
|
3850 |
1694 |
1610 |
84 |
92 |
3,502,233,097 |
5 |
7 |
120 | |
-260 |
120 |
120 |
160 |
|
5600 |
2640 |
2520 |
120 |
99 |
11,458,709,843 |
5 |
8 |
165 | |
-515 |
165 |
165 |
265 |
|
7700 |
3885 |
3720 |
165 |
98 |
32,871,084,545 |
5 |
9 |
220 | |
-780 |
220 |
220 |
420 |
|
10150 |
5470 |
5250 |
220 |
97 |
83,572,461,294 |
5 |
10 |
286 | |
-1014 |
286 |
311 |
636 |
|
12950 |
7436 |
7150 |
286 |
98 |
197,151,237,169 |
5 |
11 |
364 | |
-1176 |
364 |
479 |
924 |
|
16100 |
9824 |
9460 |
364 |
98 |
437,337,003,237 |
|
6 |
6 |
84 | |
84 |
84 |
84 |
84 |
|
3920 |
1694 |
1610 |
84 |
92 |
3,674,881,969 |
6 |
7 |
120 | |
-50 |
120 |
120 |
130 |
|
5810 |
2640 |
2520 |
120 |
99 |
12,622,324,142 |
6 |
8 |
165 | |
-305 |
165 |
165 |
205 |
|
8120 |
3885 |
3720 |
165 |
98 |
36,816,301,016 |
6 |
9 |
220 | |
-640 |
220 |
220 |
320 |
|
10850 |
5470 |
5250 |
220 |
97 |
95,504,921,385 |
6 |
10 |
286 | |
-1014 |
286 |
286 |
486 |
|
14000 |
7436 |
7150 |
286 |
98 |
221,701,815,241 |
6 |
11 |
364 | |
-1386 |
364 |
364 |
714 |
|
17570 |
9824 |
9460 |
364 |
98 |
471,326,390,514 |
|
7 |
7 |
120 | |
120 |
120 |
120 |
120 |
|
5880 |
2640 |
2520 |
120 |
99 |
12,946,889,952 |
7 |
8 |
165 | |
-35 |
165 |
165 |
175 |
|
8330 |
3885 |
3720 |
165 |
98 |
39,019,367,528 |
7 |
9 |
220 | |
-340 |
220 |
220 |
260 |
|
11270 |
5470 |
5250 |
220 |
97 |
101,062,145,583 |
7 |
10 |
286 | |
-754 |
286 |
286 |
386 |
|
14700 |
7436 |
7150 |
286 |
98 |
239,955,047,810 |
7 |
11 |
364 | |
-1236 |
364 |
364 |
564 |
|
18620 |
9824 |
9460 |
364 |
98 |
522,905,331,939 |
|
8 |
8 |
165 | |
165 |
165 |
165 |
165 |
|
8400 |
3885 |
3720 |
165 |
98 |
39,085,711,537 |
8 |
9 |
220 | |
-10 |
220 |
220 |
230 |
|
11480 |
5470 |
5250 |
220 |
97 |
105,337,931,856 |
8 |
10 |
286 | |
-364 |
286 |
286 |
326 |
|
15120 |
7436 |
7150 |
286 |
98 |
250,321,060,790 |
8 |
11 |
364 | |
-856 |
364 |
364 |
464 |
|
19320 |
9824 |
9460 |
364 |
98 |
563,772,750,839 |
|
Bounds and Dimensions on Rudin's Unshellable Triangulation
shelling parameters: a0 = 1 a1 = 10 a2 = 30 a3 = 0
Combinatorics:
41 | tetrahedra |
70 | interior faces |
30 | interior edges |
0 | interior vertices |
| |
24 | boundary faces |
36 | boundary edges |
14 | boundary vertices |
| |
94 | faces total |
66 | edges total |
14 | vertices total |