holyhedron

Blend of hole or holey and polyhedron

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holyhedron (plural holyhedra)

1. (geometry) A polyhedron with a finite number of faces and with a polygonal hole in every face, the holes' boundaries sharing no point with each other or the face's boundary.
   • 1969, Charles Miller, Vern Heeren, John Hornsby, Margaret Morrow, Jill Van Newenhizen, Mathematical Ideas, 11th edition:

     John Conway of Princeton University offered a reward in the 1990s to anyone producing a holyhedron, a polyhedron with a finite number of faces and with a hole in every face. […] Conway had predicted that someone will eventually find a holyhedron with fewer than 100 faces.

• Holyhedron on Wikipedia.Wikipedia
• MathWorld