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User:Benjah-bmm27/degree/3/CAR

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Isolobal relationships, CAR

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Deltahedra to learn

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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