User:Benjah-bmm27/degree/3/CAR

Source: Wikipedia, the free encyclopedia.

Isolobal relationships, CAR

Deltahedra to learn

Deltahedra: polyhedra whose faces are all equilateral triangles. Geomag toys can be very useful for visualising and understanding deltahedra. There's also a corresponding Jmol page with real examples of the deltahedra and their derivatives.

Number of vertices CAR name Wikipedia article MathWorld article Number of faces
n = 4 tetrahedron Tetrahedron Tetrahedron 4
n = 5 trigonal bipyramid
Trigonal bipyramid
Triangular Dipyramid 6
n = 6 octahedron Octahedron Octahedron 8
n = 7 pentagonal bipyramid Pentagonal bipyramid Pentagonal Dipyramid 10
n = 8 triangular dodecahedron Snub disphenoid Snub Disphenoid 12
n = 9 tricapped trigonal prism Triaugmented triangular prism Triaugmented Triangular Prism 14
n = 10 bicapped square antiprism
Gyroelongated square dipyramid
Gyroelongated Square Dipyramid 16
n = 11 octadecahedron Octadecahedron Deltahedron: not convex 18
n = 12 icosahedron Icosahedron Icosahedron 20