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Number magic - math puzzle
If you multiply me by 2, subtract 1, and read the reverse the result you'll find me. Which numbers can I be?
Platonic solids - math puzzle
| Show that there exist only five platonic solids (that are objects which are build out of the one sort of regular polygons, like the tetrahedron and the cube). Hint: use that for each solid in three dimensions it holds that the number of vertices + the number of faces is equal to the number of edges + 2. |
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