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Hi Jonathan,<br>
<blockquote cite="mid:538945C1.9070203@yahoo.ca" type="cite">The
valid rotations are 1,2,3,4,5,6,7,8 so there has to be something
there even though it doesn't bring anything meaningful to the
alfabet. Maybe instead of trying to make each base symbol and
complete rectangle of fills and rotations (or matrix) of symbol
but rather just have table with the ones that are valid. We have
to look up the valid fills and valid rotations per base symbol
anyways. So I'm not seing the advantage here. </blockquote>
Each base symbol has an 8-bit number for the valid fills and a
16-bit number for the valid rotations. So each base symbol needs
3-bytes to determine validity.<br>
<br>
Here is a table from draft-slevinski-signwriting-text that deals
with validity in the ISWA 2010.<br>
<a class="moz-txt-link-freetext" href="http://signpuddle.net/download/draft-slevinski-signwriting-text-03.html#rfc.appendix.B.5">http://signpuddle.net/download/draft-slevinski-signwriting-text-03.html#rfc.appendix.B.5</a><br>
<br>
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<table class="tt all left" cellpadding="3" cellspacing="0">
<thead><tr>
<th class="right">Sum</th>
<th class="left">Binary</th>
<th class="left">Set</th>
</tr>
</thead> <tbody>
<tr>
<td class="right">1</td>
<td class="left">100000</td>
<td class="left">{1}</td>
</tr>
<tr>
<td class="right">2</td>
<td class="left">010000</td>
<td class="left">{2}</td>
</tr>
<tr>
<td class="right">3</td>
<td class="left">110000</td>
<td class="left">{1, 2}</td>
</tr>
<tr>
<td class="right">7</td>
<td class="left">111000</td>
<td class="left">{1, 2, 3}</td>
</tr>
<tr>
<td class="right">15</td>
<td class="left">111100</td>
<td class="left">{1, 2, 3, 4}</td>
</tr>
<tr>
<td class="right">31</td>
<td class="left">111110</td>
<td class="left">{1, 2, 3, 4, 5}</td>
</tr>
<tr>
<td class="right">63</td>
<td class="left">111111</td>
<td class="left">{1, 2, 3, 4, 5, 6}</td>
</tr>
<tr>
<td class="right">187</td>
<td class="left">11011101</td>
<td class="left">{1, 2, 4, 5, 6, 8}</td>
</tr>
<tr>
<td class="right">255</td>
<td class="left">11111111</td>
<td class="left">{1, 2, 3, 4, 5, 6, 7, 8}</td>
</tr>
<tr>
<td class="right">511</td>
<td class="left">1111111110000000</td>
<td class="left">{1, 2, 3, 4, 5, 6, 7, 8, 9}</td>
</tr>
<tr>
<td class="right">48059</td>
<td class="left">1101110111011101</td>
<td class="left">{1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 14, 16}</td>
</tr>
<tr>
<td class="right">65535</td>
<td class="left">1111111111111111</td>
<td class="left">{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
14, 15, 16}</td>
</tr>
</tbody>
</table>
<br>
<br>
For the punctuation in question, it has valid fills of 1 thru 4 (
sum value of 15) and it has valid rotations of 1 thru 8 (sum value
of 255). So to send the information for the base symbol we would
need S387,15,255. For any symbol key, we can use the associated
fill and rotation numbers to determine if the key is valid.<br>
<br>
<br>
<blockquote cite="mid:538945C1.9070203@yahoo.ca" type="cite">Maybe
instead of trying to make each base symbol and complete rectangle
of fills and rotations (or matrix) of symbol but rather just have
table with the ones that are valid. We have to look up the valid
fills and valid rotations per base symbol anyways. So I'm not
seing the advantage here. </blockquote>
The advantage is that we do not need to have a bit for each and
every cell. With 6 fills and 16 columns, we would need a 96-bit
number which is 12-bytes. So to send the information for the base
symbol we would need S387,71777214294589695 or we could use 6 16-bit
numbers which would be S387,255,255,255,255,0,0<br>
<br>
Setting each individual cell would require 4 times as much data per
base symbol. I chose the smaller representation because I was
trying to reduce the size as much as possible.<br>
<br>
Regards,<br>
-Steve<br>
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