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phkahlertoday at 12:38 AM1 replyview on HN

I'm not sure if anyone has noticed, a rubiks cube can be represented by only the orientations of the pieces. You do this by defining their "correct" position in cube coordinates rather than piece coordinates (local about the piece center). In other words you might define a 3d model for each piece in world space assuming the cube as a whole is centered on the origin. With pieces offset from the origin like this, any rotation about an axis will appear to move the piece as well as rotate it. With 24 orientations, you'll find 3 that place a corner in the same position but colors rotated. Similarly edges have 2 orientations for each of 12 locations.

One does need to compute the traditional position of the pieces to determine which ones need to be rotated for a given move, but the total state is significantly reduced.

Tell me this isn't news to the cube world. It cant be. Can it?


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dsfioftoday at 12:54 AM

Unable to fully parse what you are trying to express.

> the total state is significantly reduced.

The minimal "state space" of a rubiks cube is a constant value. Any "reduction" would imply the model being reduced was inefficient.

On the topic of cool "alternative" views of rubiks I recently saw this and thought it was novel.

https://old.reddit.com/r/gifs/comments/z3okyv/the_only_way_t...

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