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(gimpprint.info.gz) Weaving collisions

Info Catalog (gimpprint.info.gz) Perfect weaving (gimpprint.info.gz) Weaving algorithms (gimpprint.info.gz) What is perfect weaving?
 
 Weaving collisions
 ------------------
 
    This perfect weave is not possible in all cases.  Let's look at
 another example:
 
 S=6,  J=4:
 
      0 *-----*-----*-----*
      1     *-----*-----*-----*
      2         *-----*-----*-----*
      3             *-----*-----*-----*
      4             ^   *-^---*-----*-----*
      5             |   ^ | *-^---*-----*-----*
                    OUCH!   ^ |   ^
                            |     |
 
 Here we have a collision.  Some lines printed in later passes overprint
 lines printed by earlier passes.  We can see why by considering which
 row number is printed by a given jet number j (numbered from 0) of a
 given pass, p:
 
      row(p, j) = p*J + j*S
 
    Because J=4 and S=6 have a common factor of 2, jet 2 of pass 0
 prints the same row as jet 0 of pass 3:
 
      row(0, 2) = 0*4 + 2*6 = 12
      row(3, 0) = 3*4 + 0*6 = 12
 
    In fact, with this particular weave pattern, jets 0 and 1 of pass
 p+3 always overprint jets 2 and 3 of pass p.  We'll represent
 overprinting rows by a `^' in our diagrams, and correct rows by `*':
 
 S=6  J=4:
 
      0 *-----*-----*-----*
      1     *-----*-----*-----*
      2         *-----*-----*-----*
      3             ^-----^-----*-----*
      4                 ^-----^-----*-----*
      5                     ^-----^-----*-----*
 
Info Catalog (gimpprint.info.gz) Perfect weaving (gimpprint.info.gz) Weaving algorithms (gimpprint.info.gz) What is perfect weaving?
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