The Herschel nonahedron is a canonical polyhedron whose skeleton is the Herschel
graph . It has 11 vertices, 18 edges, and 9 faces. Of the edges, 6 are short and
12 are long.

When the short edges are of unit length, the midsphere
has midradius

(1)

As shown above, the 9 quadrilateral faces consist of 3 rhombi and 6 kites . The rhombi have
edges of length

(2)

and angles

while the kite edges are of length 1 and and have angles

A net for the solid consisting of faces with these dimensions is given above.

The Herschel enneahedron is implemented in the Wolfram
Language as PolyhedronData ["HerschelEnneahedron" ].

See also Enneahedron ,

Goldner-Harary
Polyhedron
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References Hart, G. "Canonical Polyhedra." http://www.georgehart.com/virtual-polyhedra/canonical.html .
Cite this as:
Weisstein, Eric W. "Herschel Enneahedron."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/HerschelEnneahedron.html

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