To make this, I started with a dodecahedron, dropped the symmetry of the model from icosahedral to tetrahedral, then stellated it five times. Finally, I chose “color as a compound” for the color-settings. I did this using Stella 4d, software you can try for free right here: http://www.software3d.com/Stella.php.
Thanks and a tip of the hat to Livio Zucca, who gave me the idea for this tessellation.
To make this symmetrohedron, I augmented the faces of a rhombic dodecahedron with prisms, then formed the convex hull of the result. All faces except for the red rhombi are regular. This was made using Stella 4d, which you can try for free here.
Of the 36 faces of this polyhedron, 12 are rhombi, while the other 24 are irregular hexagons. I made it using Stella 4d, which you can try for free right here.
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