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Nets of a Cube and a Tetrahedron

A cube has exactly 11 distinct nets. There are 35 ways to join six squares edge to edge, but only 11 of them fold up into a cube, counting shapes that match after a rotation or a flip as the same net. On this page all 11 open out one at a time from the solid, and once the full set is on screen the sequence starts again.

The faces are colour-coded. A colour is decided by which face lands on the bottom as the cube rolls to the next square, so every net shows all six colours exactly once and you can see which colours end up opposite each other. The nets group by the length of their central strip: six are 1-4-1, a strip of four with one square on each side; three are 2-3-1; and the staircase 2-2-2 and the 3-3 make one each.

Use the shape panel to switch to a regular tetrahedron. It has only two nets: four equilateral triangles arranged into one large triangle, and the same four joined into a strip that forms a parallelogram. The folding angle differs too, 90 degrees for the cube against about 109.47 degrees for the tetrahedron, which is exactly the difference between their dihedral angles. The display panel changes how fast the nets open.