HMMT November 2016 U16
- Guts
- Answer
Create a cube with edge length 1 . Take the centers of the faces and connect them to form an octahedron . Take the centers of the octahedron's faces and connect them to form a new cube . Continue this process infinitely. Find the sum of all the surface areas of the cubes and octahedrons.
Dataset text NuminaMath olympiads. Quoted with source.
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\frac{54+9 \sqrt{3}}{8}
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