Qiaochu_Yuan comments on Visual Mental Imagery Training - Less Wrong Discussion
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Can you solve problems in geometry in your head? For example: How many edges does a dodecahedron have? Prove that the medians of a triangle are concurrent. How long is the altitude of a regular tetrahedron? How many Platonic solids are there in 4 dimensions?
How is classifying Platonic solids in 4 dimensions a reasonable test of mental imagery?