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Counting Polyhedra

Vertex Count in row and Face Count in column, or vice-versa
Total (row) 4 5 6 7 8 9 10 11 12 13
1 4 1
2 5 11
7 6 12 22
34 7 28 118 5
257 8 211 4274 7638 14
2606 9 874 296633 768558 219
32300 10 576 6332635 6134 8822 7916
440564 11 38768 6134 25626 64439 104213
6384634 12 14558 8822 64439 268394 709302
96262938 13 219 7916 104213 709302 2937495
1496225352 14 50 4442 112082 1263032 8085725
23833988129 15 1404 79773 1556952 15535572
387591510244 16 233 36528 1338853 21395274
6415851530241 17 9714 789749 21317178
107854282197058 18 1249 306470 15287112
  19 70454 7706577
  20 7595 2599554
  21   © 2000  Gérard P. Michon, Ph.D.
 
A larger table is available !  
527235
  22 49566
The number of edges is the sum of the row and column indices minus 2.
Total for a given number of edges:
61
70
81
92
102
114
1212
1322
1458
15158
16448
171342
184199
1913384
2043708
21144810
22485704
231645576
245623571
2519358410
2667078828
27233800162
28819267086
292884908430
3010204782956

Acknowledgements:


Online References:

From Sloane's On-Line Encyclopedia of Integer Sequences:


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