Pentahexagonal pyritoheptacontatetrahedron

id: pentahexagonal-pyritoheptacontatetrahedron-289-10537774
title: Pentahexagonal pyritoheptacontatetrahedron
text: In geometry, a pentahexagonal pyritoheptacontatetrahedron is a near-miss Johnson solid with pyritohedral symmetry. This near-miss was discovered by Mason Green in 2006. It has 6 hexagonal faces, 12 pentagonal faces, and 56 triangles in 3 symmetry positions. Mason calls it a hexagonally expanded snubbed dodecahedron. With regular hexagons and pentagons it is a symmetrohedron. The triangles are not equilateral, with triangle-triangle edges compressed by 1.8%. It has 3 vertex configurations, 3.3.5.
brand slug: wiki
category slug: encyclopedia
description: Near-miss Johnson solid with 74 faces
original url: https://en.wikipedia.org/wiki/Pentahexagonal_pyritoheptacontatetrahedron
date created:
date modified: 2024-02-08T03:49:20Z
main entity: {"identifier":"Q85792761","url":"https://www.wikidata.org/entity/Q85792761"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/20/Pyritohedral_near-miss_johnson.png","width":3000,"height":3000}
fields total: 13
integrity: 15

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