From: Zach Dennis <zdennis@...>
Date: 2005-04-11T03:45:29+09:00
Subject: Translating A Pattern of Data Into Equation, and ultimately code

I have the following table of data, and I am looking to create an 
equation to recreate the table. If anyone finds this sort of thing fun, 
or has a online resource or a good book that helps explaining these 
types of math concepts, please take a stab at it or post any info that 
might aide me in my discovery! I've been trying the past several hours 
and this sort of thing isn't my strong suit...and i'm stuck!

I am first looking to understand how-to make the pattern of data into a 
actual math equation...then from there I'd like to write ruby code for 
the equation.

Here is the sample data in a table:
	- rows represent a different character (as labeled)
	- columns represent the position of the character
	  (examples represent data in decimal notation, not octal/hex)
		example: "aaaa" would become 000 003 002 005
		example: "zach" would become 027 003 000 012

	1	2	3	4	5	6    (etc......)
----------------------------------------------------
a 1   |	0	3	2	5	4	7
b 2   |	3	0	1	6	7	4
c 3   |	2	1	0	7	6	5
d 4   |	5	6	7	0	1	2
e 5   |	4	7	6	1	0	3
f 6   |	7	4	5	2	3	0
g 7   |	6	5	4	3	2	1
h 8   |	9	10	11	12	13	14
i 9   |	8	11	10	13	12	15
j 10  |	11	8	9	14	15	12
k 11  |	10	9	8	15	14	13
l 12  |	13	14	15	8	9	10
m 13  |	12	15	14	9	8	11
n 14  |	15	12	13	10	11	8
o 15  |	14	13	12	11	10	9
p 16  |	17	18	19	20	21	22
q 17  |	16	19	18	21	20	23
r 18  |	19	16	17	22	23	20
s 19  |	18	17	16	23	22	21
t 20  |	21	22	23	16	17	18
u 21  |	20	23	22	17	16	19
v 22  |	23	20	21	18	19	16
w 23  |	22	21	20	19	18	17
x 24  |	25	26	27	28	29	30
y 25  |	24	27	26	29	28	31
z 26  |	27	24	25	30	31	28


Thanks again if you decide to attempt this...

Zach