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<TITLE>GIMP-Print - Weaving collisions</TITLE>
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<H3><A NAME="SEC46" HREF="gimpprint_toc.html#TOC46">B.2.3  Weaving collisions</A></H3>
<P>
<A NAME="IDX186"></A>
<A NAME="IDX187"></A>

</P>
<P>
This perfect weave is not possible in all cases.  Let's look at another
example:

</P>
<P>
@math{S=6},  @math{J=4}:

</P>

<PRE>
0 *-----*-----*-----*
1     *-----*-----*-----*
2         *-----*-----*-----*
3             *-----*-----*-----*
4             ^   *-^---*-----*-----*
5             |   ^ | *-^---*-----*-----*
              OUCH!   ^ |   ^
                      |     |
</PRE>

<P>
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 @math{j} (numbered from 0)
of a given pass, @math{p}:

</P>

<PRE>
@math{row(p, j) = p*J + j*S}
</PRE>

<P>
Because @math{J=4} and @math{S=6} have a common factor of 2, jet 2 of
pass 0 prints the same row as jet 0 of pass 3:

</P>

<PRE>
@math{row(0, 2) = 0*4 + 2*6 = 12}
@math{row(3, 0) = 3*4 + 0*6 = 12}
</PRE>

<P>
In fact, with this particular weave pattern, jets 0 and 1 of pass
@math{p+3} always overprint jets 2 and 3 of pass @math{p}.  We'll
represent overprinting rows by a <SAMP>`^'</SAMP> in our diagrams, and correct
rows by <SAMP>`*'</SAMP>:

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<P>
@math{S=6}  @math{J=4}:

</P>

<PRE>
0 *-----*-----*-----*
1     *-----*-----*-----*
2         *-----*-----*-----*
3             ^-----^-----*-----*
4                 ^-----^-----*-----*
5                     ^-----^-----*-----*
</PRE>

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