AlphaBot 26 noun
Main Entry: AlphaBot System
Function: noun
Description: Alpha-numeric positional notation system
Machine instruction-list: alphabot sourcecode
Author: Baker, Baker & Baker
Copyrights: © H.MM 2K, ® Baker Baker Omnia Baker
Date: +2K 2000
Full description
- a word notation system by which each word is expressed in base-27
by reading each letter considering its value and position and letting
each position-value be an increasing power of 27
- a system of measurement or language in which the basic units increase
by powers of 27
- a {10,27} base conversion utillity to display words as decimal numbers
The latin phonetic alphabet contains 26 elements, A to Z.
We add the Ø (zero or "" empty) element, a 27th element which enables us
to make a positional base-27 character system ranging from Ø to 26.
The lookuptable we will use:
A B C D E F G H I J K L M
1 2 3 4 5 6 7 8 9 10 11 12 13
N O P Q R S T U V W X Y Z
14 15 16 17 18 19 20 21 22 23 24 25 26 , and the 27th element "" (Ø)
The incrementing digits are factors in a base-27 positional system.
Starting from the right in each word,
match each charachter of the word to each corresponding base-10 number in the lookuptable.
For example, b-e-t as in the first three characters of the word alphabet,
reading the word from the right, looking at the word like it is a number in base 27:
20* 27^0; because t is in 1st position it gets factor ^0 ... as 't' in bet
5 * 27^1; e is in 2nd position so here it gets factor ^1 ... 'e' in bet
2 * 27^2; b is in 3rd position, so it gets factor ^2 ... 'b' in bet
Examples of conversion of words into the 10-digit (numeric) notation, using the lookuptable:
"AND" = 1111: A*27^2 + N*27 + D
=
1*729 + 14*27 + 4
= 729 A
378 N
4 D
____________ +
so "AND" = 1111
"THE" = 14801: T*27^2 + H*27 + E
=
20*729 + 8*27 + 5
= 14580 T
216 H
5 E
____________ +
so "THE" = 14801
"ALPHABET" = 15343254407
A*27^7 + L*27^6 + P*27^5 + H*27^4 + A*27^3 + B*27^2 + E*27^1 + T*27^0
= 1*27^7 + 12*27^6 + 16*27^5 + 8*27^4 + 1*27^3 + 2*27^2 + 5*27 + 20*1
= 1*10460353203 + 12*387420489 + 16*14348907 + 8*531441 + 1*19683 + 2*729 + 5*27 + 20
= 10460353203 A
4649045868 L
229582512 P
4251528 H
19683 A
1458 B
135 E
20 T
____________ +
so "ALPHABET" = 15343254407
..."AND THE ALPHABET" reads: ...1111 14801 15343254407.
Another example,
the same conversion but the other way around, so for example 14801,
This base-10 number into a (more compact) base-27 word as follows:
14801: Find the largest power-of-27 fitting in 14801, which is 27^2=729,
...and see how many of these 729's fit in 14801,
this gives us a number, which gives us the corresponding character in the lookuptable.
14801 = (first letter * 27^2) + rest
so the 1st letter is "T" (20 in the lookuptable),
rest is 14801 - 20*729 = 221
221 = (2nd letter * 27^1) + rest
so the 2nd letter is "H" (8 in the lookuptable),
rest is 221 - 8*27 = 5
so "E" must be the last letter (rest is 0) of the word.
and so 14801 = "THE"
The Rosetta Stone example: 14801 7199013322 10502357
The alphabot system and Silent Holes will be made
available as software Alphabot™ 26
including examples to be translated and published.
ALPHABOT XORART - Sun Aug 13 18:30:52 GMT 2000 H.MM 2K
