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22-sided Dino
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A dino cube in shape of a 22-sided polyhedron.

This puzzle is designed to show this particular 22-sided polyhedron, which can be viewed as a near-miss Johnson solid. The polyhedron was discovered by Bo Hu in 2012.

Among the 22 faces, 10 of them are regular hexagons, divided into 2 groups as shown on the puzzle. The 6 faces with two rectangular cuts correspond to faces of a cube and the 4 faces with three triangular cuts correspond to four vertices of the cube. The remaining 12 pentagons are irregular and can be divided into 4 groups of three.

To construct this polyhedron, one can start with a cube of length 2*a. The first step is to truncate four vertices at depth a (by depth from origin). Now there are 12 new vertices. By truncating these 12 vertices at depth 1.0670601667*a (by depth from origin) one can get the final shape.

Material: Black PLA
Height: 57 mm (between parallel hexagonal faces)
Weight: 66 grams



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