Regular Honeycombs in Elliptic Space
نویسنده
چکیده
WHEN the elliptic plane is derived from a sphere by identifying antipodal points, the five convex regular solids inscribed in the sphere yield five regular tessellations of the elliptic plane: arrangements of equal regular polygons fitting together to fill the plane without interstices. The actual cases are exhibited in Table I, where the last column indicates that, since the tetrahedron lacks central symmetry, the corresponding tessellation covers the plane twice. The 'Schlafli symbol' shows the kind of polygon and the number at each vertex.
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