These are hard to work out round the edge, but if five or six triangles are together, you know that something is wrong. There are also four triangles round a point. Of course, for an octahedron, you must have eight triangles in the net. There are eleven correct nets, and they will change colour as you click on them. See if you can find all the nets for an octahedron below. It can look like two pyramids or, from the top, it can look like a star of David. How many vertices (corners) and edges are there? See Euler's formula.Īn octahedron can look different from different angles. Since it just shows the edges, you can see through the model, which means that you can count the vertices and edges easier. This model (left) was made from a kit with magnetic connections. You can tell from its name that it has eight faces (similar to an octagon, which is a flat shape with eight angles). We saw that you cannot make a polyhedron with four squares meeting at each point, but you can do it with four triangles. Other regular solids with triangular faces?Ī tetrahedron has three faces meeting at each point, similar to a cube.
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