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  • There are a total of 225 edges and all of them are of equal length.

  • There are a total of 85 regular polygons, where 75 of them are identical and the remaining 10 have exactly one identical match.

  • The bottom figure has 48 edges, the one above it has 54 edges.


puzzling image


The answer is a hidden word.

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1 Answer 1

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Answer:

PRISM

Explanation:

Each figure is a prism with a regular polygon as base. The bottom most figure has 16-gon base, so it has 48 edges (16 from the top face, 16 from the bottom face, and 16 from the sides). Similarly, the one above it has 18-gon base. The ones shown in the image in the OP have 13-gon and 19-gon bases. It is natural to assume this is the top view, so these are the top two figures in the stack (the others are hidden under them). Counting the edges so far, we have (16+18+13+19)×3 = 198 edges. The remaining number of edges is 225 - 198 = 27. Also, we already have 16+18+13+19 = 66 squares and 8 other regular polygons that form identical pairs, so we need 75-6 = 9 more squares and 10-8 = 2 other polygons that form an identical pair. The only way to do this is to have a middle prism with nonagon (9-gon) base. Now, using A1Z26, reading from bottom to top, we have 16, 18, 9, 19, 13 -> PRISM.

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