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Holyhedron

Type of 3-dimensional geometric body

In mathematics, a holyhedron is a type of 3-dimensional geometric body: a polyhedron each of whose faces contains at least one polygon-shaped hole, and whose holes' boundaries share no point with each other or the face's boundary.

History

The concept was first introduced by John H. Conway; the term "holyhedron" was coined by David W. Wilson in 1997 as a pun involving polyhedra and holes. Conway also offered a prize of 10,000 USD, divided by the number of faces, for finding an example, asking:

No actual holyhedron was constructed until 1999, when Jade P. Vinson presented an example of a holyhedron with a total of 78,585,627 faces. Another example was subsequently given by Don Hatch, who presented a holyhedron with 492 faces in 2003, worth about 20.33 USD prize money.

References

| archive-url = https://web.archive.org/web/20160304113733/https://www.sciencenews.org/article/punctured-polyhedra | archive-date = March 4, 2016

| doi-access = free

Info: Wikipedia Source

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polyhedra john-horton-conway

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