Frank Chesters Chestahedron.
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http://www.frankchester.com/2010/chestahedron-geometry/
A volume enclosed by seven sides
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of equal area, made up of four triangles and three quadrilaterals.
The Chestahedron is the first heptahedron of this configuration in the history of geometry. This sculpture has 7 surfaces (consisting of 4 triangles and 3 quadrilaterals), 7 points and 12 edges. If this heptahedron is rotated around the vertical axis, it forms a bell-like external surface of a certain profile: a cone at the top connected to a hyperbolic at the bottom.
