User:Tom Allen/ta/AddendumA00P03

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                   Rotate 4 orthogonal vectors in 4-dimensional space.


                                       vectors


               0                 1                 2                 3

      ------------------|-----------------|-----------------|------------------
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v0  |        0        |    010   011    |    020   022    |    030   033    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v1  |    100   101    |        0        |    121   122    |    131   133    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v2  |    200   202    |    211   212    |        0        |    232   233    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v3  |    300   303    |    311   313    |    322   323    |        0        |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      ------------------|-----------------|-----------------|------------------


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

      ------------------|-----------------|-----------------|------------------
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v0  |        0        |    121   122    |    131   133    |    101   100    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v1  |    211   212    |        0        |    232   233    |    202   200    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v2  |    311   313    |    322   323    |        0        |    303   300    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v3  |    011   010    |    022   020    |    033   030    |        0        |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      ------------------|-----------------|-----------------|------------------


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

      ------------------|-----------------|-----------------|------------------
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v0  |        0        |    232   233    |    202   200    |    212   211    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v1  |    322   323    |        0        |    303   300    |    313   311    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v2  |    022   020    |    033   030    |        0        |    010   011    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v3  |    122   121    |    133   131    |    100   101    |        0        |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      ------------------|-----------------|-----------------|------------------


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

      ------------------|-----------------|-----------------|------------------
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v0  |        0        |    303   300    |    313   311    |    323   322    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v1  |    033   030    |        0        |    010   011    |    020   022    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v2  |    133   131    |    100   101    |        0        |    121   122    |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      |-----------------|-----------------|-----------------|-----------------|
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
  v3  |    233   232    |    200   202    |    211   212    |        0        |
      |                 |                 |                 |                 |
      |                 |                 |                 |                 |
      ------------------|-----------------|-----------------|------------------


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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