median
don steward
mathematics teaching 10 ~ 16

Sunday, 2 June 2013

other numbers of nets

tetrahedron
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










































octahedron
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

No comments: