___Hello. I am Turtle, your guide on this expedition. The attached image below is one place we are going, as I suggested that Tormod, expedition sponsor, may learn how to make a musical score out of it.
___We will be spelunking in the cave of mathematics, where all manner of patterns & forms, & structures abound. Now you may know that if you shine an ultraviolet light in a cave on certain minerals, they flouresce, & without the UV light the same minerals are indestinguishable from the others. In this expedition our UV light is the Katabatak Function, K(n). Call it the "K function" or "Big K", or just "K".
___I will define it presently, but a word about its origin first. I took the word from a Greek root which means to bring down, & this because the K function brings down integers & relates them to a single symbol.
___Before I post again & we start into the cave, you have some time to examine the image & decide if you care to come along. Until otherwise noted, dress for Base Ten, where the domain of the K function is all integers & the range is length nine. Range element symbols may appear as numerals or as colored squares. Welcome!
