User:Tom Allen/ta/AddendumA00P03
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Rotate 4 orthogonal vectors in 4-dimensional space.
vectors
0 1 2 3
------------------|-----------------|-----------------|------------------
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v0 | 0 | 010 011 | 020 022 | 030 033 |
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|-----------------|-----------------|-----------------|-----------------|
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v1 | 100 101 | 0 | 121 122 | 131 133 |
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|-----------------|-----------------|-----------------|-----------------|
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v2 | 200 202 | 211 212 | 0 | 232 233 |
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|-----------------|-----------------|-----------------|-----------------|
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v3 | 300 303 | 311 313 | 322 323 | 0 |
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------------------|-----------------|-----------------|------------------
NB. ... script experimentalA00.txt ... NB. ... an antisymmetric matrix using all 24 numbers ... FREXVC00=:(0000000+0000000"_),(FREM010+FREM011 ),(FREM020+FREM022 ),(FREM030+FREM033 ) FREXVC01=:(FREM100+FREM101 ),(0000000+0000000"_),(FREM121+FREM122 ),(FREM131+FREM133 ) FREXVC02=:(FREM200+FREM202 ),(FREM211+FREM212 ),(0000000+0000000"_),(FREM232+FREM233 ) FREXVC03=:(FREM300+FREM303 ),(FREM311+FREM313 ),(FREM322+FREM323 ),(0000000+0000000"_)
0 1 2 3
------------------|-----------------|-----------------|------------------
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v0 | 0 | 121 122 | 131 133 | 101 100 |
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|-----------------|-----------------|-----------------|-----------------|
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v1 | 211 212 | 0 | 232 233 | 202 200 |
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|-----------------|-----------------|-----------------|-----------------|
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v2 | 311 313 | 322 323 | 0 | 303 300 |
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|-----------------|-----------------|-----------------|-----------------|
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v3 | 011 010 | 022 020 | 033 030 | 0 |
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------------------|-----------------|-----------------|------------------
NB. ... script experimentalA00.txt ... NB. ... an antisymmetric matrix using all 24 numbers ... FREXVC10=:(0000000+0000000"_),(FREM121+FREM122 ),(FREM131+FREM133 ),(FREM101+FREM100 ) FREXVC11=:(FREM211+FREM212 ),(0000000+0000000"_),(FREM232+FREM233 ),(FREM202+FREM200 ) FREXVC12=:(FREM311+FREM313 ),(FREM322+FREM323 ),(0000000+0000000"_),(FREM303+FREM300 ) FREXVC13=:(FREM011+FREM010 ),(FREM022+FREM020 ),(FREM033+FREM030 ),(0000000+0000000"_)
0 1 2 3
------------------|-----------------|-----------------|------------------
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v0 | 0 | 232 233 | 202 200 | 212 211 |
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|-----------------|-----------------|-----------------|-----------------|
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v1 | 322 323 | 0 | 303 300 | 313 311 |
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|-----------------|-----------------|-----------------|-----------------|
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v2 | 022 020 | 033 030 | 0 | 010 011 |
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|-----------------|-----------------|-----------------|-----------------|
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v3 | 122 121 | 133 131 | 100 101 | 0 |
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------------------|-----------------|-----------------|------------------
NB. ... script experimentalA00.txt ... NB. ... an antisymmetric matrix using all 24 numbers ... FREXVC20=:(0000000+0000000"_),(FREM232+FREM233 ),(FREM202+FREM200 ),(FREM212+FREM211 ) FREXVC21=:(FREM322+FREM323 ),(0000000+0000000"_),(FREM303+FREM300 ),(FREM313+FREM311 ) FREXVC22=:(FREM022+FREM020 ),(FREM033+FREM030 ),(0000000+0000000"_),(FREM010+FREM011 ) FREXVC23=:(FREM122+FREM121 ),(FREM133+FREM131 ),(FREM100+FREM101 ),(0000000+0000000"_)
0 1 2 3
------------------|-----------------|-----------------|------------------
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v0 | 0 | 303 300 | 313 311 | 323 322 |
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|-----------------|-----------------|-----------------|-----------------|
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v1 | 033 030 | 0 | 010 011 | 020 022 |
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|-----------------|-----------------|-----------------|-----------------|
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v2 | 133 131 | 100 101 | 0 | 121 122 |
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|-----------------|-----------------|-----------------|-----------------|
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v3 | 233 232 | 200 202 | 211 212 | 0 |
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------------------|-----------------|-----------------|------------------
NB. ... script experimentalA00.txt ... NB. ... an antisymmetric matrix using all 24 numbers ... FREXVC30=:(0000000+0000000"_),(FREM303+FREM300 ),(FREM313+FREM311 ),(FREM323+FREM322 ) FREXVC31=:(FREM033+FREM030 ),(0000000+0000000"_),(FREM010+FREM011 ),(FREM020+FREM022 ) FREXVC32=:(FREM133+FREM131 ),(FREM100+FREM101 ),(0000000+0000000"_),(FREM121+FREM122 ) FREXVC33=:(FREM233+FREM232 ),(FREM200+FREM202 ),(FREM211+FREM212 ),(0000000+0000000"_)
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