In 1717, Abraham Sharp published an unusual little book which
describes twelve original polyhedra. The first and simplest of
his new "solid bodies" is an eighteen-sided form that I call the
"Sharpohedron". It consists of six rhombi and twelve
kite-shaped faces. Here are four versions of it: solid wood, paper,
assembled wood, and 3D-printed.
To make a paper or wood version, the following face templates and
net can be printed, cut out, and taped together. To make a
3D-printed version, use this STL file.
This video explains a bit about it:
I have written a paper about Abraham Sharp, Geometry Improv'd,
and the Sharpohedron:
George Hart, "The Multifaceted Abraham Sharp", in Imagine
Math 8: Dreaming Venice, Michele Emmer and Marco Abate
(editors), Springer, 2022, pp. 267-294. My final draft of the paper
before publication is available here.
Following up on this, Norihisa Yamasaki (who also uses the pen name
"Hiroshi Nakagawa") started making solid wooden versions of some of
Sharp's models and wrote about his work here.
