Biscribed Chiral Solids

For these pages, a biscribed solid is defined to be any convex polyhedron that has concentric circumscribed and inscribed spheres, where the sphere center is also the centroid of the vertices and the centroid of the face tangency points. The five Platonic solids are biscribed solids, but none of the Archimedean or Catalan solids are. The convexity criterion rules out the rest of the uniform polyhedra.

  • Biscribed Snub Cube (laevo)

  • Biscribed Snub Dodecahedron (laevo)

  • Biscribed Orthotruncated Propello Octahedron

  • Biscribed Orthotruncated Propello Icosahedron

  • Biscribed Pentagonal Icositetrahedron (dextro)

  • Biscribed Pentagonal Hexecontahedron (dextro)

  • Biscribed Orthokis Propello Cube

  • Biscribed Orthokis Propello Dodecahedron

  • Biscribed Propello Cube

  • Biscribed Propello Dodecahedron

  • Biscribed Hexpropello Cube (dextro)

  • Biscribed Hexpropello Dodecahedron (dextro)

  • Biscribed Propello Octahedron

  • Biscribed Propello Icosahedron

  • Biscribed Tetrakis Snub Cube (laevo)

  • Biscribed Pentakis Snub Dodecahedron (laevo)

  • Biscribed Propello Truncated Octahedron

  • Biscribed Propello Truncated Cuboctahedron

  • Biscribed Propello Truncated Icosidodecahedron

  • Biscribed Propello Tetrakis Hexahedron

  • Biscribed Propello Disdyakis Dodecahedron

  • Biscribed Propello Pentakis Dodecahedron

  • Biscribed Propello Disdyakis Triacontahedron

  • Biscribed Snub Truncated Octahedron

  • Biscribed Snub Truncated Icosahedron

  • Biscribed L-Propello L-Snub Cube

  • Biscribed Propello Tetrahedron

  • Biscribed Dual Snub Truncated Octahedron

  • Biscribed Dual Snub Truncated Icosahedron

  • Biscribed L-Propello R-Pentagonal Icositetrahedron