A spherical polyhedron is set of arcs on the surface of a sphere corresponding to the projections of the edges of a polyhedron. The images above illustrate the spherical polyhedron for the Platonic solids with the arcs extended radially inward for easier visualization.
Spherical Polyhedron
See also
Genesa, Geodesic Dome, Polygon, Spherical PolygonExplore with Wolfram|Alpha
References
Wenninger, M. Spherical Models. New York: Dover, 1999.Referenced on Wolfram|Alpha
Spherical PolyhedronCite this as:
Weisstein, Eric W. "Spherical Polyhedron." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SphericalPolyhedron.html