page_title: Symmetrohedron
hierarchical_section_title: Symmetrohedron
caption_attribution_description: model Pyritohedral near-miss Johnson solid
context_page_description: In geometry, a symmetrohedron is a high-symmetry polyhedron containing convex regular polyhedra on symmetry axes with gaps on the convex hull filled by irregular polyhedra.
  The name was coined by Craig S. Kaplan and George W. Hart.
  The trivial cases are the Platonic solids, Archimedean solids with all regular polygons. A first class is called bowtie which contain pairs of trapezoidal faces. A second class has kite faces. Another class are called LCM symmetrohedra.
context_section_description: In geometry, a symmetrohedron is a high-symmetry polyhedron containing convex regular polyhedra on symmetry axes with gaps on the convex hull filled by irregular polyhedra.
  The name was coined by Craig S. Kaplan and George W. Hart.
  The trivial cases are the Platonic solids, Archimedean solids with all regular polygons. A first class is called bowtie which contain pairs of trapezoidal faces. A second class has kite faces. Another class are called LCM symmetrohedra.
caption: Symmetrohedron with pyritohedral symmetry, order 24
exif: {}