File:Non-commutative rotation of dice.png

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Summary

Description
English: Configure two dice as shown in the upper left corner, with the 1 on top, 2 on the left, and 3 to the right. On die takes path A, beginning with a 90 degree rotation about the negative y direction (using the right hand rule), followed by a 90 degree rotation about the z direction. This leaves the die with the 5 on top, 4 on the left, and 1 to the right. But reversing the order of two paths results in 3 being on the top, 1 on the left, and 2 on the right, as shown in the lower right corner.
Date
Source Own work
Author Guy vandegrift

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Captions

A die has different orientation after two rotations, depending on which path is taken. Both path A and path B use the same rotations, but in reverse order.

In dieser Datei abgebildete Objekte

depicts

mathematics

inception

27 December 2023

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image/png

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Date/TimeThumbnailDimensionsUserComment
current03:40, 28 December 2023Thumbnail for version as of 03:40, 28 December 2023884 × 1,247 (148 KB)Guy vandegriftlarger arrows
02:39, 28 December 2023Thumbnail for version as of 02:39, 28 December 2023884 × 1,247 (138 KB)Guy vandegriftUploaded own work with UploadWizard
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