## INCIDENCE MATRICES # 2-tychoplex (heptagon) 7 2 2 7 # 3-tychoplex (Klein map) 56 3 3 2 84 2 7 7 24 # 4-tychoplex (350-cell) 4900 4 6 4 2 9800 3 3 7 7 4200 2 56 84 24 350 # 5-tychoplex 2304960 5 10 10 5 2 5762400 4 6 4 7 7 3292800 3 3 56 84 24 411600 2 4900 9800 4200 350 2352 # 6-tychoplex 6437753280 6 15 20 15 6 2 19313259840 5 10 10 5 7 7 13795185600 4 6 4 56 84 24 2299197600 3 3 4900 9800 4200 350 19707408 2 2304960 5762400 3292800 411600 2352 16758 # 7-tychoplex 108514769287680 7 21 35 35 21 7 2 379801692506880 6 15 20 15 6 7 7 325544307863040 5 10 10 5 56 84 24 67821730804800 4 6 4 4900 9800 4200 350 775105494912 3 3 2304960 5762400 3292800 411600 2352 988654968 2 6437753280 19313259840 13795185600 2299197600 19707408 16758 117992 # 8-tychoplex 11166169759702272000 8 28 56 70 56 28 8 2 44664679038809088000 7 21 35 35 21 7 7 7 44664679038809088000 6 15 20 15 6 56 84 24 11166169759702272000 5 10 10 5 4900 9800 4200 350 159516710852889600 4 6 4 2304960 5762400 3292800 411600 2352 271286923219200 3 3 6437753280 19313259840 13795185600 2299197600 19707408 16758 48565507200 2 108514769287680 379801692506880 325544307863040 67821730804800 775105494912 988654968 117992 823200 ## VERTEX LAYERS # 2-thalassoplex: Layer count: [ [ 1, 1 ], [ 2, 2 ], [ 3, 2 ], [ 5, 2 ] ] Layer edges: [ [ 1, 2 ], [ 2, 5 ], [ 3, 3 ], [ 3, 5 ] ] # 3-thalassoplex: Layer count: [ [ 1, 1 ], [ 2, 7 ], [ 6, 7 ], [ 11, 7 ], [ 23, 1 ], [ 24, 1 ] ] Layer edges: [ [ 1, 2 ], [ 2, 2 ], [ 2, 6 ], [ 2, 11 ], [ 6, 11 ], [ 6, 6 ], [ 6, 24 ], [ 11, 11 ], [ 11, 23 ] ] # 4-thalassoplex: Layer count: [ [ 1, 1 ], [ 2, 24 ], [ 9, 56 ], [ 19, 42 ], [ 57, 24 ], [ 60, 24 ], [ 75, 56 ], [ 109, 56 ], [ 113, 42 ], [ 261, 24 ], [ 321, 1 ] ] Layer edges: [ [ 1, 2 ], [ 2, 2 ], [ 2, 9 ], [ 2, 19 ], [ 2, 57 ], [ 2, 60 ], [ 9, 19 ], [ 9, 9 ], [ 9, 60 ], [ 9, 75 ], [ 9, 113 ], [ 9, 109 ], [ 19, 19 ], [ 19, 57 ], [ 19, 75 ], [ 19, 109 ], [ 57, 75 ], [ 57, 109 ], [ 57, 261 ], [ 57, 261 ], [ 60, 60 ], [ 60, 113 ], [ 60, 321 ], [ 60, 261 ], [ 75, 109 ], [ 75, 113 ], [ 75, 75 ], [ 75, 261 ], [ 109, 109 ], [ 109, 113 ], [ 109, 261 ], [ 113, 113 ], [ 113, 261 ] ] # 5-thalassoplex: Layer count: [ [ 1, 1 ], [ 2, 350 ], [ 3, 350 ], [ 11, 350 ], [ 22, 300 ], [ 62, 300 ], [ 63, 350 ], [ 67, 350 ], [ 2224, 1 ] ] Layer edges: [ [ 1, 2 ], [ 2, 3 ], [ 2, 11 ], [ 2, 2 ], [ 2, 2 ], [ 2, 63 ], [ 2, 67 ], [ 2, 62 ], [ 2, 22 ], [ 2, 22 ], [ 2, 2 ], [ 3, 3 ], [ 3, 11 ], [ 3, 22 ], [ 3, 63 ], [ 3, 67 ], [ 3, 62 ], [ 11, 11 ], [ 11, 22 ], [ 11, 67 ], [ 11, 62 ], [ 11, 63 ], [ 22, 22 ], [ 22, 62 ], [ 22, 63 ], [ 22, 67 ], [ 62, 63 ], [ 62, 67 ], [ 62, 62 ], [ 62, 67 ], [ 63, 67 ], [ 63, 63 ], [ 67, 67 ], [ 67, 67 ], [ 67, 67 ], [ 67, 2224 ] ]