User:Tom Allen/ta/AddendumA00P02
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Rotate 4 orthogonal vectors in 4-dimensional space.
vectors
0 1 2 3
------------------|-----------------|-----------------|------------------
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v0 | 0 | 012 013 | 021 023 | 031 032 |
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|-----------------|-----------------|-----------------|-----------------|
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v1 | 102 103 | 0 | 120 123 | 130 132 |
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|-----------------|-----------------|-----------------|-----------------|
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v2 | 201 203 | 210 213 | 0 | 230 231 |
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|-----------------|-----------------|-----------------|-----------------|
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v3 | 301 302 | 310 312 | 320 321 | 0 |
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------------------|-----------------|-----------------|------------------
NB. ... script experimentalA00.txt ... NB. ... an antisymmetric matrix using all 24 numbers ... FREXVE00=:(0000000+0000000"_),(FREM012+FREM013 ),(FREM021+FREM023 ),(FREM031+FREM032 ) FREXVE01=:(FREM102+FREM103 ),(0000000+0000000"_),(FREM120+FREM123 ),(FREM130+FREM132 ) FREXVE02=:(FREM201+FREM203 ),(FREM210+FREM213 ),(0000000+0000000"_),(FREM230+FREM231 ) FREXVE03=:(FREM301+FREM302 ),(FREM310+FREM312 ),(FREM320+FREM321 ),(0000000+0000000"_)
0 1 2 3
------------------|-----------------|-----------------|------------------
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v0 | 0 | 123 120 | 132 130 | 102 103 |
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|-----------------|-----------------|-----------------|-----------------|
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v1 | 213 210 | 0 | 231 230 | 201 203 |
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|-----------------|-----------------|-----------------|-----------------|
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v2 | 312 310 | 321 320 | 0 | 301 302 |
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|-----------------|-----------------|-----------------|-----------------|
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v3 | 012 013 | 021 023 | 031 032 | 0 |
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------------------|-----------------|-----------------|------------------
NB. ... script experimentalA00.txt ... NB. ... an antisymmetric matrix using all 24 numbers ... FREXVE10=:(0000000+0000000"_),(FREM120+FREM123 ),(FREM130+FREM132 ),(FREM102+FREM103 ) FREXVE11=:(FREM210+FREM213 ),(0000000+0000000"_),(FREM230+FREM231 ),(FREM201+FREM203 ) FREXVE12=:(FREM310+FREM312 ),(FREM320+FREM321 ),(0000000+0000000"_),(FREM301+FREM302 ) FREXVE13=:(FREM012+FREM013 ),(FREM021+FREM023 ),(FREM031+FREM032 ),(0000000+0000000"_)
0 1 2 3
------------------|-----------------|-----------------|------------------
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v0 | 0 | 230 231 | 203 201 | 213 210 |
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|-----------------|-----------------|-----------------|-----------------|
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v1 | 320 321 | 0 | 302 301 | 312 310 |
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|-----------------|-----------------|-----------------|-----------------|
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v2 | 023 021 | 032 031 | 0 | 012 013 |
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|-----------------|-----------------|-----------------|-----------------|
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v3 | 123 120 | 132 130 | 102 103 | 0 |
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------------------|-----------------|-----------------|------------------
NB. ... script experimentalA00.txt ... NB. ... an antisymmetric matrix using all 24 numbers ... FREXVE20=:(0000000+0000000"_),(FREM230+FREM231 ),(FREM201+FREM203 ),(FREM210+FREM213 ) FREXVE21=:(FREM320+FREM321 ),(0000000+0000000"_),(FREM301+FREM302 ),(FREM310+FREM312 ) FREXVE22=:(FREM021+FREM023 ),(FREM031+FREM032 ),(0000000+0000000"_),(FREM012+FREM013 ) FREXVE23=:(FREM120+FREM123 ),(FREM130+FREM132 ),(FREM102+FREM103 ),(0000000+0000000"_)
0 1 2 3
------------------|-----------------|-----------------|------------------
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v0 | 0 | 301 302 | 310 312 | 320 321 |
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|-----------------|-----------------|-----------------|-----------------|
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v1 | 031 032 | 0 | 013 012 | 023 021 |
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|-----------------|-----------------|-----------------|-----------------|
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v2 | 130 132 | 103 102 | 0 | 123 120 |
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|-----------------|-----------------|-----------------|-----------------|
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v3 | 230 231 | 203 201 | 213 210 | 0 |
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------------------|-----------------|-----------------|------------------
NB. ... script experimentalA00.txt ... NB. ... an antisymmetric matrix using all 24 numbers ... FREXVE30=:(0000000+0000000"_),(FREM301+FREM302 ),(FREM310+FREM312 ),(FREM320+FREM321 ) FREXVE31=:(FREM031+FREM032 ),(0000000+0000000"_),(FREM012+FREM013 ),(FREM021+FREM023 ) FREXVE32=:(FREM130+FREM132 ),(FREM102+FREM103 ),(0000000+0000000"_),(FREM120+FREM123 ) FREXVE33=:(FREM230+FREM231 ),(FREM201+FREM203 ),(FREM210+FREM213 ),(0000000+0000000"_)
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