don steward
mathematics teaching 10 ~ 16

Sunday, 2 June 2013

other numbers of nets

it is fairly easy to prove that there are only 2 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

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

the Puntmat team indicate that there are 4 different nets for this shape

of the 12 hexiamonds, the 4  in the far left-hand column form a net for a regular triangular dipyramid

thanks to Puntmat for adding to this collection

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