don steward
mathematics teaching 10 ~ 16

Sunday, 2 June 2013

other numbers of nets


it is fairly easy to prove that there are only two different nets for a tetrahedron,
e.g. by considering where edges can be broken
maybe using Polydron

the octahedron has 11 different nets, the same as the cube:

square based pyramid
a square based pyramid has 6 different nets:

regular triangular dipyramid (bipyramid)

this shape is two tetrahedrons, fitted together face-to-face:

Tandi Clausen-May identifies 8 different nets for the triangular dipyramid

of the 12 hexiamonds, all of the top row, all of the third row and all of the left column form nets of this solid

thanks to Puntmat

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