polytope
geometric object with flat sides
vertex
special kind of point that describes the corners or intersections of geometric shapes
net
arrangement of joined polytopes which can be folded to become the facets of a higher-dimensional polytope
polyhedron
solid in three dimensions with flat faces
facet
feature of a polytope in the next-lower dimension
side
line segment joining two adjacent vertices in a polygon or polytope
dion
one-dimensional polytope
tessellation
tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps
isogonal figure
vertex-transitive polytope
flag
sequence of faces of a polytope