Katabatak Math-An Exploration In Pure Number Theory

[DougF]

AHh great and magnificent Turtle son,
Feel free to fest on these meager bones, any time you wish. but I as you just want to eat the meat of knowledge and wisdom, I wish no harm I only wish to find the meat of wisdom that the Almighty Turtle son has fed on and thereby fed from the scrap and learn of his wisdom.



Not seen, but still there. ;-)

[Turtle]

Originally Posted by DougF

AHh great and magnificent Turtle son,
Feel free to fest on these meager bones, any time you wish. but I as you just want to eat the meat of knowledge and wisdom, I wish no harm I only wish to find the meat of wisdom that the Almighty Turtle son has fed on and thereby fed from the scrap and learn of his wisdom.

Not seen, but still there. ;-)

color me not all here, but still scene. let the festing begin!!

i have little to nothing new, but i can always throw a bone. let's go with a bone from , oh i don't know, a dead guy. maybe, oh i don't know, maybe buckminster fuller. aye well, turns out there was little to no residue of meat on his congruence bone even when he was alive. what a maroon!!

anyway, starting at post #82 in this thread, you can read all about it if you have a mind to.

while i have not done any new graphs of late, i did last week use an extant k-graph for yet another piece of questionable art. coinkydinkily, it is illustrative of fuller's lack of understanding of residues. identify the graph in the art & i'll consider discussing it in fuller detail; otherwise, maybe not so much. . . . . . . .

[Turtle]

quiet as death in this cave. better get dancin'.

we lost the images of katabatak graphs, more-or-less, that i put in the gallery so i'm transferring over to use the Albums in my profile section. in so doing i got distracted - no, really! - and got off on some new work. details, details, yada yada yada bleh bleh bleh.

start with this:

now, take each complete connected graph from the separations, color it to match the vertices' color, then pull them off one-by-one and stack them. embelsih by rotating 45º, inverting the colors, sharpening a smidge, and ramping up the saturation.

voila!


i haven't published the base fifteen multiplication table here yet, but i have it on the ol' dinosaur and last night i went right to making its stacked-color-keyed-complete-connected-graph graph. until i get some ink to make a print & scan it on this machine, a cell-phone pic will have to suffice.

[Turtle]

thnx 4 da thnx mr. jones! while i have no color ink, i do have black so i went back jack & hacked a katabatak black stack. (stacked complete connected graphs of base fifteen katabatak multiplication table separations, rotated 45º)