quaternion
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What does the great Hamilton have to do with this?
The Catch-24 encoding was based on the quaternion multiplication table: where the units x(i), y(j), z(k) denote a 180° rotation along 3 axes, and the square root of the unit corresponds to a 90° rotation. Multiplication of quaternions means concatenation of rotations. We add "salts" (the...- swipymam
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- catch-24 quaternion scrambling
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- Forum: Puzzle Theory
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Signature’s cube. 18 vs 54. A new look at the scramble the eyes of the great Hamilton from 1843.
"How about sending me a fourth gimbal for Christmas?" - Michael "Mike" Collins after the Lunar Module had landed. Applying multiple rotations is equivalent to applying a single rotation whose quaternion is equal to the product of the quaternions of the corresponding rotations. The Rubik's Cube...- swipymam
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- matrix matrix multiplication quaternion quaternion multiplication rotation matrix scramble signature
- Replies: 2
- Forum: Puzzle Theory