# section between (1, ... , 4) and (5,... , 16), # a topological real projectiv 3-space with f-vector # 4*12 = 48 vertices, # 336 edges, # 336 triangles, 180 quadrilaterals, # 108 tetrahedra and 120 prisms rp3:= [ [[1,5],[1,6],[1,9],[1,12]], [[1,5],[1,6],[1,10],[1,11]], [[1,5],[1,6],[1,12],[1,14]], [[1,5],[1,7],[1,13],[1,16]], [[1,5],[1,7],[1,15],[1,16]], [[1,5],[1,8],[1,10],[1,12]], [[1,5],[1,8],[1,12],[1,14]], [[1,5],[1,10],[1,11],[1,12]], [[1,5],[1,14],[1,15],[1,16]], [[1,6],[1,7],[1,8],[1,9]], [[1,6],[1,7],[1,8],[1,13]], [[1,6],[1,8],[1,9],[1,12]], [[1,6],[1,8],[1,12],[1,14]], [[1,6],[1,8],[1,13],[1,16]], [[1,7],[1,8],[1,13],[1,15]], [[1,7],[1,9],[1,10],[1,14]], [[1,7],[1,9],[1,11],[1,14]], [[1,7],[1,10],[1,11],[1,14]], [[1,7],[1,12],[1,13],[1,15]], [[1,7],[1,12],[1,13],[1,16]], [[1,7],[1,12],[1,15],[1,16]], [[1,9],[1,10],[1,14],[1,15]], [[1,9],[1,11],[1,13],[1,14]], [[1,9],[1,11],[1,15],[1,16]], [[1,9],[1,14],[1,15],[1,16]], [[1,10],[1,11],[1,12],[1,13]], [[1,10],[1,11],[1,13],[1,14]], [[2,5],[2,6],[2,9],[2,12]], [[2,5],[2,6],[2,10],[2,11]], [[2,5],[2,6],[2,11],[2,13]], [[2,5],[2,7],[2,8],[2,10]], [[2,5],[2,7],[2,8],[2,14]], [[2,5],[2,7],[2,10],[2,11]], [[2,5],[2,7],[2,11],[2,13]], [[2,5],[2,7],[2,14],[2,15]], [[2,6],[2,7],[2,9],[2,11]], [[2,6],[2,7],[2,11],[2,13]], [[2,6],[2,8],[2,14],[2,15]], [[2,6],[2,8],[2,15],[2,16]], [[2,6],[2,9],[2,11],[2,12]], [[2,6],[2,13],[2,15],[2,16]], [[2,7],[2,8],[2,14],[2,16]], [[2,8],[2,9],[2,10],[2,13]], [[2,8],[2,9],[2,12],[2,13]], [[2,8],[2,10],[2,12],[2,13]], [[2,8],[2,11],[2,14],[2,15]], [[2,8],[2,11],[2,14],[2,16]], [[2,8],[2,11],[2,15],[2,16]], [[2,9],[2,10],[2,13],[2,16]], [[2,9],[2,11],[2,12],[2,14]], [[2,9],[2,12],[2,13],[2,14]], [[2,10],[2,12],[2,13],[2,14]], [[2,10],[2,12],[2,15],[2,16]], [[2,10],[2,13],[2,15],[2,16]], [[3,5],[3,6],[3,8],[3,11]], [[3,5],[3,6],[3,8],[3,15]], [[3,5],[3,6],[3,13],[3,15]], [[3,5],[3,7],[3,13],[3,14]], [[3,5],[3,7],[3,14],[3,15]], [[3,5],[3,9],[3,11],[3,16]], [[3,5],[3,9],[3,12],[3,16]], [[3,5],[3,10],[3,13],[3,14]], [[3,5],[3,10],[3,13],[3,15]], [[3,5],[3,10],[3,14],[3,15]], [[3,5],[3,11],[3,12],[3,16]], [[3,6],[3,7],[3,10],[3,12]], [[3,6],[3,7],[3,10],[3,16]], [[3,6],[3,8],[3,10],[3,11]], [[3,6],[3,8],[3,10],[3,16]], [[3,6],[3,8],[3,14],[3,15]], [[3,7],[3,8],[3,9],[3,12]], [[3,7],[3,8],[3,10],[3,11]], [[3,7],[3,8],[3,10],[3,16]], [[3,7],[3,9],[3,10],[3,12]], [[3,7],[3,13],[3,14],[3,16]], [[3,9],[3,10],[3,12],[3,15]], [[3,9],[3,11],[3,13],[3,14]], [[3,9],[3,11],[3,15],[3,16]], [[3,9],[3,12],[3,15],[3,16]], [[3,11],[3,12],[3,13],[3,16]], [[3,11],[3,13],[3,14],[3,16]], [[4,5],[4,6],[4,7],[4,12]], [[4,5],[4,6],[4,7],[4,16]], [[4,5],[4,6],[4,14],[4,16]], [[4,5],[4,7],[4,9],[4,12]], [[4,5],[4,7],[4,9],[4,15]], [[4,5],[4,7],[4,13],[4,16]], [[4,5],[4,8],[4,9],[4,11]], [[4,5],[4,8],[4,9],[4,15]], [[4,6],[4,8],[4,13],[4,14]], [[4,6],[4,8],[4,13],[4,16]], [[4,6],[4,9],[4,13],[4,14]], [[4,6],[4,9],[4,13],[4,16]], [[4,6],[4,9],[4,14],[4,16]], [[4,6],[4,10],[4,11],[4,15]], [[4,6],[4,10],[4,12],[4,15]], [[4,6],[4,11],[4,12],[4,15]], [[4,7],[4,8],[4,9],[4,12]], [[4,7],[4,8],[4,9],[4,15]], [[4,7],[4,8],[4,10],[4,11]], [[4,8],[4,9],[4,10],[4,11]], [[4,8],[4,13],[4,14],[4,15]], [[4,9],[4,10],[4,11],[4,16]], [[4,10],[4,11],[4,15],[4,16]], [[4,10],[4,12],[4,13],[4,14]], [[4,10],[4,12],[4,15],[4,16]], [[4,11],[4,12],[4,14],[4,15]], [[4,12],[4,13],[4,14],[4,15]], [[1,5],[1,6],[1,9],[3,5],[3,6],[3,9]], [[1,5],[1,6],[1,10],[4,5],[4,6],[4,10]], [[1,5],[1,6],[1,11],[3,5],[3,6],[3,11]], [[1,5],[1,6],[1,14],[4,5],[4,6],[4,14]], [[1,5],[1,7],[1,13],[2,5],[2,7],[2,13]], [[1,5],[1,7],[1,15],[2,5],[2,7],[2,15]], [[1,5],[1,8],[1,10],[2,5],[2,8],[2,10]], [[1,5],[1,8],[1,14],[2,5],[2,8],[2,14]], [[1,5],[1,9],[1,12],[3,5],[3,9],[3,12]], [[1,5],[1,10],[1,16],[2,5],[2,10],[2,16]], [[1,5],[1,10],[1,16],[4,5],[4,10],[4,16]], [[1,5],[1,11],[1,12],[3,5],[3,11],[3,12]], [[1,5],[1,13],[1,16],[2,5],[2,13],[2,16]], [[1,5],[1,14],[1,15],[2,5],[2,14],[2,15]], [[1,5],[1,14],[1,16],[4,5],[4,14],[4,16]], [[1,6],[1,7],[1,9],[2,6],[2,7],[2,9]], [[1,6],[1,7],[1,13],[2,6],[2,7],[2,13]], [[1,6],[1,8],[1,14],[2,6],[2,8],[2,14]], [[1,6],[1,8],[1,16],[2,6],[2,8],[2,16]], [[1,6],[1,9],[1,15],[2,6],[2,9],[2,15]], [[1,6],[1,9],[1,15],[3,6],[3,9],[3,15]], [[1,6],[1,10],[1,11],[3,6],[3,10],[3,11]], [[1,6],[1,10],[3,6],[3,10],[4,6],[4,10]], [[1,6],[1,13],[1,16],[2,6],[2,13],[2,16]], [[1,6],[1,14],[1,15],[2,6],[2,14],[2,15]], [[1,6],[1,14],[1,15],[3,6],[3,14],[3,15]], [[1,6],[1,14],[3,6],[3,14],[4,6],[4,14]], [[1,7],[1,8],[1,9],[3,7],[3,8],[3,9]], [[1,7],[1,8],[1,11],[3,7],[3,8],[3,11]], [[1,7],[1,8],[1,11],[4,7],[4,8],[4,11]], [[1,7],[1,8],[1,15],[4,7],[4,8],[4,15]], [[1,7],[1,9],[1,10],[3,7],[3,9],[3,10]], [[1,7],[1,9],[1,11],[2,7],[2,9],[2,11]], [[1,7],[1,10],[1,11],[3,7],[3,10],[3,11]], [[1,7],[1,11],[2,7],[2,11],[4,7],[4,11]], [[1,7],[1,15],[2,7],[2,15],[4,7],[4,15]], [[1,8],[1,9],[1,12],[3,8],[3,9],[3,12]], [[1,8],[1,10],[1,12],[2,8],[2,10],[2,12]], [[1,8],[1,11],[1,13],[3,8],[3,11],[3,13]], [[1,8],[1,11],[1,13],[4,8],[4,11],[4,13]], [[1,8],[1,12],[2,8],[2,12],[3,8],[3,12]], [[1,8],[1,13],[1,15],[4,8],[4,13],[4,15]], [[1,8],[1,13],[1,16],[3,8],[3,13],[3,16]], [[1,8],[1,16],[2,8],[2,16],[3,8],[3,16]], [[1,9],[1,10],[1,15],[3,9],[3,10],[3,15]], [[1,9],[1,11],[1,13],[4,9],[4,11],[4,13]], [[1,9],[1,11],[1,15],[2,9],[2,11],[2,15]], [[1,9],[1,11],[1,16],[4,9],[4,11],[4,16]], [[1,9],[1,13],[1,14],[4,9],[4,13],[4,14]], [[1,9],[1,14],[1,16],[4,9],[4,14],[4,16]], [[1,10],[1,12],[1,13],[4,10],[4,12],[4,13]], [[1,10],[1,12],[1,16],[2,10],[2,12],[2,16]], [[1,10],[1,12],[1,16],[4,10],[4,12],[4,16]], [[1,10],[1,13],[1,14],[4,10],[4,13],[4,14]], [[1,10],[1,14],[1,15],[3,10],[3,14],[3,15]], [[1,10],[1,14],[3,10],[3,14],[4,10],[4,14]], [[1,11],[1,12],[1,13],[3,11],[3,12],[3,13]], [[1,11],[1,15],[1,16],[4,11],[4,15],[4,16]], [[1,11],[1,15],[2,11],[2,15],[4,11],[4,15]], [[1,12],[1,13],[1,15],[4,12],[4,13],[4,15]], [[1,12],[1,13],[1,16],[3,12],[3,13],[3,16]], [[1,12],[1,15],[1,16],[4,12],[4,15],[4,16]], [[1,12],[1,16],[2,12],[2,16],[3,12],[3,16]], [[2,5],[2,6],[2,9],[3,5],[3,6],[3,9]], [[2,5],[2,6],[2,10],[4,5],[4,6],[4,10]], [[2,5],[2,6],[2,12],[4,5],[4,6],[4,12]], [[2,5],[2,6],[2,13],[3,5],[3,6],[3,13]], [[2,5],[2,9],[2,12],[4,5],[4,9],[4,12]], [[2,5],[2,9],[3,5],[3,9],[4,5],[4,9]], [[2,5],[2,10],[2,16],[4,5],[4,10],[4,16]], [[2,5],[2,13],[2,16],[4,5],[4,13],[4,16]], [[2,5],[2,13],[3,5],[3,13],[4,5],[4,13]], [[2,6],[2,9],[2,15],[3,6],[3,9],[3,15]], [[2,6],[2,10],[2,11],[4,6],[4,10],[4,11]], [[2,6],[2,11],[2,12],[4,6],[4,11],[4,12]], [[2,6],[2,13],[2,15],[3,6],[3,13],[3,15]], [[2,7],[2,8],[2,10],[4,7],[4,8],[4,10]], [[2,7],[2,8],[2,12],[3,7],[3,8],[3,12]], [[2,7],[2,8],[2,12],[4,7],[4,8],[4,12]], [[2,7],[2,8],[2,16],[3,7],[3,8],[3,16]], [[2,7],[2,10],[2,11],[4,7],[4,10],[4,11]], [[2,7],[2,12],[2,14],[3,7],[3,12],[3,14]], [[2,7],[2,12],[2,14],[4,7],[4,12],[4,14]], [[2,7],[2,14],[2,15],[4,7],[4,14],[4,15]], [[2,7],[2,14],[2,16],[3,7],[3,14],[3,16]], [[2,8],[2,9],[2,10],[4,8],[4,9],[4,10]], [[2,8],[2,9],[2,12],[4,8],[4,9],[4,12]], [[2,9],[2,10],[2,16],[4,9],[4,10],[4,16]], [[2,9],[2,11],[2,14],[3,9],[3,11],[3,14]], [[2,9],[2,11],[2,15],[3,9],[3,11],[3,15]], [[2,9],[2,13],[2,14],[3,9],[3,13],[3,14]], [[2,9],[2,13],[2,16],[4,9],[4,13],[4,16]], [[2,9],[2,13],[3,9],[3,13],[4,9],[4,13]], [[2,10],[2,12],[2,14],[3,10],[3,12],[3,14]], [[2,10],[2,12],[2,15],[3,10],[3,12],[3,15]], [[2,10],[2,13],[2,14],[3,10],[3,13],[3,14]], [[2,10],[2,13],[2,15],[3,10],[3,13],[3,15]], [[2,11],[2,12],[2,14],[4,11],[4,12],[4,14]], [[2,11],[2,14],[2,15],[4,11],[4,14],[4,15]], [[2,11],[2,14],[2,16],[3,11],[3,14],[3,16]], [[2,11],[2,15],[2,16],[3,11],[3,15],[3,16]], [[2,12],[2,15],[2,16],[3,12],[3,15],[3,16]], [[3,5],[3,7],[3,13],[4,5],[4,7],[4,13]], [[3,5],[3,7],[3,15],[4,5],[4,7],[4,15]], [[3,5],[3,8],[3,11],[4,5],[4,8],[4,11]], [[3,5],[3,8],[3,15],[4,5],[4,8],[4,15]], [[3,5],[3,9],[3,11],[4,5],[4,9],[4,11]], [[3,6],[3,7],[3,12],[4,6],[4,7],[4,12]], [[3,6],[3,7],[3,16],[4,6],[4,7],[4,16]], [[3,6],[3,8],[3,14],[4,6],[4,8],[4,14]], [[3,6],[3,8],[3,16],[4,6],[4,8],[4,16]], [[3,6],[3,10],[3,12],[4,6],[4,10],[4,12]], [[3,7],[3,12],[3,14],[4,7],[4,12],[4,14]], [[3,7],[3,13],[3,16],[4,7],[4,13],[4,16]], [[3,7],[3,14],[3,15],[4,7],[4,14],[4,15]], [[3,8],[3,11],[3,13],[4,8],[4,11],[4,13]], [[3,8],[3,13],[3,16],[4,8],[4,13],[4,16]], [[3,8],[3,14],[3,15],[4,8],[4,14],[4,15]], [[3,9],[3,11],[3,13],[4,9],[4,11],[4,13]], [[3,10],[3,12],[3,14],[4,10],[4,12],[4,14]], ]; # PL-equivalent to # RP^3 f = (11,51,80,40) complex:= [ [1,2,3,4],[1,2,3,5],[1,2,4,6],[1,2,5,6],[1,3,4,7],[1,3,5,7], [1,4,6,7],[1,5,6,7],[2,3,4,8],[2,3,5,9],[2,3,8,9],[2,4,6,10], [2,4,8,10],[2,5,6,11],[2,5,9,11],[2,6,10,11],[2,7,8,9],[2,7,8,10], [2,7,9,11],[2,7,10,11],[3,4,7,11],[3,4,8,11],[3,5,7,10],[3,5,9,10], [3,6,8,9],[3,6,8,11],[3,6,9,10],[3,6,10,11],[3,7,10,11],[4,5,8,10], [4,5,8,11],[4,5,9,10],[4,5,9,11],[4,6,7,9],[4,6,9,10],[4,7,9,11], [5,6,7,8],[5,6,8,11],[5,7,8,10],[6,7,8,9] ];