Einstein and puzzles
I spotted a version of Einstein's puzzle posted as a vegetable-garden variety here. There are a few copies of this "famous" problem around, involving nationalities and tobacco products, animals etc.
The houses are in fact, the location of the 4 fundamental parts of his theory, gravity is the "first" house, and so on. A better way to think about the puzzle is as a map coloring problem, which is: find the minimum coloring for 5 sections over a geometry, which is regular and has at least 4 colors, one of which is gravity the other is whatever color gravity is, etc. It actually is a way to solve the relations between the 10-fold symmetry of the 'device' he constructed to measure dihedral angles over a universal shape.
He used geodesics over a cone and hyperbolic sectioning. So the puzzle is: construct a color equivalent and build a shape with the same symmetry as the several versions of Einstein's puzzle, that can also act like the thing he constructed, in an "Archimedean, levered" sense. A mechanical device like a Babbage engine or whatever. It should have input and output states etc. (you can change the color map)😀
The houses are in fact, the location of the 4 fundamental parts of his theory, gravity is the "first" house, and so on. A better way to think about the puzzle is as a map coloring problem, which is: find the minimum coloring for 5 sections over a geometry, which is regular and has at least 4 colors, one of which is gravity the other is whatever color gravity is, etc. It actually is a way to solve the relations between the 10-fold symmetry of the 'device' he constructed to measure dihedral angles over a universal shape.
He used geodesics over a cone and hyperbolic sectioning. So the puzzle is: construct a color equivalent and build a shape with the same symmetry as the several versions of Einstein's puzzle, that can also act like the thing he constructed, in an "Archimedean, levered" sense. A mechanical device like a Babbage engine or whatever. It should have input and output states etc. (you can change the color map)😀
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