The minimum number of rotations about two axes for constructing an arbitrarily fixed rotation

For any pair of three-dimensional real unit vectors m^ and n^ with |m^Tn^|<1 and any rotation U, let Nm^,n^(U) denote the least value of a positive integer k such that U can be decomposed into a product of k rotations about either m^ or n^. This work gives the number Nm^,n^(U) as a function of U....

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Bibliographic Details
Main Author: Mitsuru Hamada
Format: Article
Language:English
Published: The Royal Society 2014-01-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/pdf/10.1098/rsos.140145