Archimedean Solids · 3D
Snub Cube
3.3.3.3.4 · sr{4,3}
Six squares, each ringed by triangles and turned a little, so the whole solid twists: 32 triangles and 6 squares, in a left-handed and a right-handed form.
- Vertices
- 24
- Edges
- 60
- Faces
- 32 ▲ + 6 ■
- Hands
- 2
Turn it in your hands, strike it to hear the chord of its edges, slice it with a plane.
Facts
- It is chiral: no turn will lay it on its mirror image. Toggle the twin to see the other hand.
- Its coordinates need the tribonacci constant t ≈ 1.83929, the root of t³ = t² + t + 1, just as the Fibonacci numbers lead to φ.
- Four triangles and a square meet at every corner (3.3.3.3.4).
- Its dual, the pentagonal icositetrahedron, has 24 identical irregular pentagons.
History and meaning
Kepler named it cubus simus, the snub-nosed cube, in 1619.
Across the dimensions
- Dual The pentagonal icositetrahedron, which the app draws inside it.
Learn it step by step
- Journey The Archimedean FamilyStep 9: Give it a twist
