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The answer really depends on what is meant by a three dimensional hexagon. The following are options for regular shapes.

1. The word polygon comes from Greek and the suffix "gon" refers to angles. If you think of a six-angled 3-d object, it would be two pyramids with their square bases joined together.

2. If you are thinking of a 3-d object with six faces, then it is a cube.

3. If you are thinking of a 3-d object each of whose faces is a hexagon, the answer is that such a figure cannot exist. The solid will "collapse" into a 2-d tessellation. The nearest you can get is the truncated icosahedron which is the shape of a soccer ball (or the C60 Buckminsterfullerene molecule). It comprises 12 regular pentagonal faces and 20 regular hexagonal faces.

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Q: What does a three dimensional hexagon look like?
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