## INCIDENCE MATRICES # 2-cosmoplex (pentagon) 5 2 2 5 # 3-cosmoplex (dodecahedron) 20 3 3 2 30 2 5 5 12 # 4-cosmoplex (hecatonicosachoron) 600 4 6 4 2 1200 3 3 5 5 720 2 20 30 12 120 # 5-cosmoplex 78000 5 10 10 5 2 195000 4 6 4 5 5 156000 3 3 20 30 12 39000 2 600 1200 720 120 650 # 6-cosmoplex 40950000 6 15 20 15 6 2 122850000 5 10 10 5 5 5 122850000 4 6 4 20 30 12 40950000 3 3 600 1200 720 120 1023750 2 78000 195000 156000 39000 650 3150 # 7-cosmoplex 91406250000 7 21 35 35 21 7 2 319921875000 6 15 20 15 6 5 5 383906250000 5 10 10 5 20 30 12 159960937500 4 6 4 600 1200 720 120 5332031250 3 3 78000 195000 156000 39000 650 24609375 2 40950000 122850000 122850000 40950000 1023750 3150 15625 # 8-cosmoplex 886914843750000 8 28 56 70 56 28 8 2 3547659375000000 7 21 35 35 21 7 5 5 4966723125000000 6 15 20 15 6 20 30 12 2483361562500000 5 10 10 5 600 1200 720 120 103473398437500 4 6 4 78000 195000 156000 39000 650 636759375000 3 3 40950000 122850000 122850000 40950000 1023750 3150 606437500 2 91406250000 319921875000 383906250000 159960937500 5332031250 24609375 15625 77624 # 9-cosmoplex 38432976562500000000 9 36 84 126 126 84 36 9 2 172948394531250000000 8 28 56 70 56 28 8 5 5 276717431250000000000 7 21 35 35 21 7 20 30 12 161418501562500000000 6 15 20 15 6 600 1200 720 120 8070925078125000000 5 10 10 5 78000 195000 156000 39000 650 62084039062500000 4 6 4 40950000 122850000 122850000 40950000 1023750 3150 78836875000000 3 3 91406250000 319921875000 383906250000 159960937500 5332031250 24609375 15625 15136680000 2 886914843750000 3547659375000000 4966723125000000 2483361562500000 103473398437500 636759375000 606437500 77624 390000 # 10-cosmoplex 7504038673828125000000000 10 45 120 210 252 210 120 45 10 2 37520193369140625000000000 9 36 84 126 126 84 36 9 5 5 67536348064453125000000000 8 28 56 70 56 28 8 20 30 12 45024232042968750000000000 7 21 35 35 21 7 600 1200 720 120 2626413535839843750000000 6 15 20 15 6 78000 195000 156000 39000 650 24243817253906250000000 5 10 10 5 40950000 122850000 122850000 40950000 1023750 3150 38482249609375000000 4 6 4 91406250000 319921875000 383906250000 159960937500 5332031250 24609375 15625 9851455900000000 3 3 886914843750000 3547659375000000 4966723125000000 2483361562500000 103473398437500 636759375000 606437500 77624 380737500000 2 38432976562500000000 172948394531250000000 276717431250000000000 161418501562500000000 8070925078125000000 62084039062500000 78836875000000 15136680000 390000 1952500 ## VERTEX LAYERS # 2-hydroplex: Layer count: [ [ 1, 1 ], [ 2, 2 ], [ 3, 2 ] ] Layer edges: [ [ 1, 2 ], [ 2, 3 ], [ 3, 3 ] ] # 3-hydroplex: Layer count: [ [ 1, 1 ], [ 2, 5 ], [ 6, 5 ], [ 12, 1 ] ] Layer edges: [ [ 1, 2 ], [ 2, 2 ], [ 2, 6 ], [ 6, 6 ], [ 6, 12 ] ] # 4-hydroplex: Layer count: [ [ 1, 1 ], [ 2, 12 ], [ 9, 20 ], [ 23, 12 ], [ 36, 30 ], [ 63, 12 ], [ 76, 20 ], [ 103, 12 ], [ 120, 1 ] ] Layer edges: [ [ 1, 2 ], [ 2, 2 ], [ 2, 9 ], [ 2, 23 ], [ 9, 9 ], [ 9, 23 ], [ 9, 36 ], [ 23, 36 ], [ 23, 63 ], [ 36, 36 ], [ 36, 63 ], [ 36, 76 ], [ 63, 76 ], [ 63, 103 ], [ 76, 76 ], [ 76, 103 ], [ 103, 103 ], [ 103, 120 ] ] # 5-hydroplex: Layer count: [ [ 1, 1 ], [ 2, 120 ], [ 4, 120 ], [ 12, 144 ], [ 17, 144 ], [ 29, 120 ], [ 97, 1 ] ] Layer edges: [ [ 1, 2 ], [ 2, 4 ], [ 2, 2 ], [ 2, 12 ], [ 2, 17 ], [ 2, 12 ], [ 2, 29 ], [ 2, 2 ], [ 2, 2 ], [ 4, 4 ], [ 4, 12 ], [ 4, 17 ], [ 4, 29 ], [ 12, 17 ], [ 12, 12 ], [ 12, 29 ], [ 17, 29 ], [ 17, 17 ], [ 17, 29 ], [ 29, 29 ], [ 29, 29 ], [ 29, 29 ], [ 29, 97 ] ]