A pentachoron is a 4-dimensional simplex. It is also called the pyrochoron under the elemental naming scheme. Its Bowers acronym is "pen".



The pentachoron is the pyramid on the tetrahedron, with 4 tetrahedra on each vertex.


  • vertex count =
  • edge length =
  • surface area =
  • surcell volume =
  • surteron bulk =


See also

Zeroth First Second Third Fourth Fifth Sixth Seventh Eighth Ninth Tenth
Simplex Point Line Triangle Tetrahedron Pentachoron Hexateron Heptapeton Octaexon Enneazetton Decayotton Hendecaxennon
Hypercube Point Line Square Cube Tesseract Penteract Hexeract Hepteract Octeract Enneract Dekeract
Cross Point Line Square Octahedron Hexadecachoron Pentarss Hexarss Heptarss Octarss Ennearss Decarss
Hypersphere Point Line Circle Sphere Glome Hyperglome Hexaphere Heptaphere Octaphere Enneaphere Decaphere
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