# Duplicated punctuation symbols

Jonathan Duncan duncanjonathan at YAHOO.CA
Mon Jun 2 15:32:52 UTC 2014

```On 5/30/2014 10:13 PM, Stephen E Slevinski Jr wrote:
> Hi Jonathan,
>> 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.
> 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.
>
> Here is a table from draft-slevinski-signwriting-text that deals with
> validity in the ISWA 2010.
>
> Sum 	Binary 	Set
> 1 	100000 	{1}
> 2 	010000 	{2}
> 3 	110000 	{1, 2}
> 7 	111000 	{1, 2, 3}
> 15 	111100 	{1, 2, 3, 4}
> 31 	111110 	{1, 2, 3, 4, 5}
> 63 	111111 	{1, 2, 3, 4, 5, 6}
> 187 	11011101 	{1, 2, 4, 5, 6, 8}
> 255 	11111111 	{1, 2, 3, 4, 5, 6, 7, 8}
> 511 	1111111110000000 	{1, 2, 3, 4, 5, 6, 7, 8, 9}
> 48059 	1101110111011101 	{1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 14, 16}
> 65535 	1111111111111111 	{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,
> 14, 15, 16}
>
>
>
> 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.
>
>
>> 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
> 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
>
> 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.
Thanks for explaining why just writing the valid fills and valid
rotations is so much more efficient than a validation bit for each
possible character.

Regards,
Jonathan
>
> Regards,
> -Steve
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