
According to Mathematica's implementation of the function "Tuple":
Tuples [list, n] generates a list of all possible n-tuples of elements from list.
The elements of list are treated as distinct, so that Tuples [list, n] for a list of length k gives output of length nEk.
The order of elements in Tuples [list, n] is based on the order of elements in list, so that Tuples [{a1, ... ,ak]gives {{a1,a1...,a1}{a1,a1,...,a2} ... {ak,ak,...,ak}}.
By setting n = 3 we can obtain three channels of information consistent with making RGB images. On a zero to one scale, black is {0,0,0}, white is {1,1,1}, red is {1,0,0}, green is {0,1,0} and blue is {0,0,1}. All other colors that can be displayed use fractions between zero and one in each of these three channels. We define the concepts of 'anti-color' and 'super-color' to be, respectively, lesser than and greater than the R, G, B values used in color imagery. These concepts are embodied in the following computer-generated graphics. In the image shown below, one can think of the row of lines on the top and the right side of the image as comprising 256 different 'color guns'. Some of these guns 'fire' anti-color, and some shoot real color. At all positions in the image the tuple value from a top gun is added to the tuple value of a right gun. Only the ‘real colors’ are visible displayed, i.e. the pixel’s R G and B values must be in the range of zero to one. Pixels with any R G or B value greater than one or less than zero are assigned the value {0,0,0} which is black. The ‘fractal-like’ characteristic of these graphics, where microscopic structures mimic macroscopic levels at three levels of magnification, is due to the canonical ordering of the elements within the list of tuples.
Starting with an eight letter word, one can construct a list to be the starting set for tuple formation. In alphabetical order all letters are assigned a value equally spaced between -1 and +1, with the exception that “_”, space, is reserved for the first letter of the alphabet. For a given word, the lowest and highest letter is search such that the expansion of the numerical values of the letters is expanded over the full range. For example, ANGELICA is encoded as encoded into the Mathematica program function as:
Tuples[{ -6/7, 1, 0, -2/7, 5/7, 2/7, -4/7, -6/7}, 3]
Which generates 512 triplet values for R, G, B. These values are loaded into both the rows and columns of two tensors, the tensors are added, and anticolor and super colors are set to black (as displayed in the image named xxxx).
For words shorter than 8 letters, space ( _ ) is encoded as -1 in the list, and all other letters are stretch between one increment above -1 to +1. For words or phrases longer than 8 letters, and image series is required. These larger strings are parsed 8 letters at a time creating one image each. Five images are required to encode “never look a gift horse in the mouth” because, including the spaces between words, 5 parses are needed to place this phrase into five 8-character lists. (Douglas Youvan, San Diego, CA 12.02.08)
what does
"never look a gift horse in the mouth" mean?
all horses are the same color?
all horses have 6 legs? [2 in the back and 4 legs in front
all horses with one mouth have a uniquely horsey set of dentals and surround that are generally unappealing to the average mortal?
something else entirely?
these are not trivial questions by any stretch
and may even be a canelo with a canela sabor at some photonic finish
itself a highly question-attractive turn of ifritic tongue
& best to leave it there
wherever
(Harvey Bialy, Cuernavaca, Mexico, 09.02.08)
it seems parallel "beggars can't be choosers"
basically a remark with a complex messy underbelly--I
give you gift
in some ultimately not quite generous way
to buy you off
and clear my conscience
from what Levinas says is the infinite
demand that is
the other person
and when the gift turns out not quite to satisfy the
famous
desire of the other
indignantly one says
don't look a gift horse in the mouth
or beggars can't be choosers
both of which reduce to
fuck you
unless offered by a friend
who means--wake up, schmuck o--
you weren't enTITled
to ANYTHING but you got a
horse
to which one might offer the rejoinder
never trust
geeks
bearing
grifts
(Charles Stein, Barrytown, NY, 09.02.08)