Vertex-Transitive Triangulations

Vertex-transitive combinatorial manifolds with up to 15 vertices
(complete for d=2,3,9,10,11,12 and up to 13 vertices otherwise)

(A list of all vertex-transitive 2-manifolds with 16, 17, 18, 19, and 20 vertices as well as a list of all vertex-transitive 3-manifolds with 16 and 17 vertices is available upon request.)

Vertex-transitive combinatorial pseudomanifolds with up to 15 vertices
(complete for d=3 and up to 13 vertices for d=4,5,6,7)

Nearly neighborly centrally symmetric (nncs) combinatorial spheres with vertex-transitive cyclic symmetry
(up to 22 vertices for d=3, up to 16 vertices for d=5, and up to 18 vertices for d=7)

Centrally symmetric d-dimensional combinatorial products of spheres with vertex-transitive
dihedral symmetry (on n=2d+4 vertices for d=2,...,8) or cyclic symmetry (on n=2d+4 vertices for d=2,...,7)

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