Showing posts with label loop. Show all posts
Showing posts with label loop. Show all posts

### +loop

Mathematically, a loop is a closed🔒 string with no knots or tanglements whose path initiates and terminates at the same point.

Ludologically, a loop is a simple infinite walk; such that it encloses leaves (reading frames) on a loopstring. In both cases, a loop is continuous with either no nuts, or has homologically conjoined endpoints.
/// For sake of stew choreography, a loop is just a completed walk that has become unavailable for recycling.

### +closed string

A closed🔒 string (more accurately, closed coil) is a string state with no open🔓 circuitry (does not have endpoints; forms a loop).

All game-related strategies (goals) are devised to obtain a closed string (thereby solving and validating it as some fibor, although the game itself may still be open) via folding. (see zero-bubble, loop)
/// Actually, there is no loop requirement for a string to be closed (not open), since the end of the string must attach to a (mem)brane (even if that membrane is the string's other endpoint). Therefore, the yield is derived when in that a string is closed, but only by acoustic approximation.

### +zero-bubble

The zero-bubble (also written as "0-bubble" or "0b") or "lock" is a bubble shapeframe (stereogram*) with no inflatons (scalar fields responsible for blowup from a single point [0-brane]).** Greater than or equal to three (3) spatial dimensions.

A 0b is a type of homeomorphism [map reduction] as a totally twisted loop, and formally marks the end of a proof.🔲→🎯 (see goal, identity, font)
/// The supposition for 'zero' (+/-) is that when tabulating the yield, all spots on the mesh which would allow for an opening, vanish (0,0).

Locks are the ideal [most secure🔐] ¢ent structures [signed certificates] for a closed🔒 string, as measured by absolute compliance to its handicap. Taken by themselves as 'flags'🏁, zero-bubbles (frictionless assets) are considered (ie. completely mapped/encrypted/melodic/folded) when it comes to juking. {input = output, /return = [0]}
Function map: lockfibor

### +knot

A knot is a closed string🔒 as a link with one (1) component. It can also be defined as a tangled string in Euclidean space (R3).

### +loopstring

The loopstring, or l-string, is a string of pencils. Technically, l-string is a sesquilinear random coiling* of a 1-brane (which is) concatenated to and from specified reading frames (egg and epp), and subject to certain conditions (such as being gameplay-compliant).** As some measure of twistorspace.

The string may be open🔓 or , but is closed by default (hence the term 'loop'). In fact, the main objective of each opus is to twist some variation of this object into a functionally unique fibor. (compare loop quantum gravity)
/// +In the context of the whole of string theory, the loopstring may colloquially be referred to as "toy string". We must be careful, however, to not confuse this "toy string" or its ludology (SL) with bosonic string theory (which is considered a "toy model" for which to introduce string theory education).
+I named it "loopstring" from 'loopy quanta' plus 'superstring', even though both terms are misnomers.

An argument can be made that l-string is a rudimentary automaton. It is hypothesized that all games are (or any game can be) based on and around some primitive manifestation of this object. Hence, when we want to study the ludology of any phenomenon, we could start with a drawn loopstring, and proceed from there. (see stew)

### +epp

As c=2(b-1)/2 {b26, /max=25 (0-25) || b = brane count [which is of the sesquilinear form (e-,e+)]}, an epp is the coverage's resultant as a half-integer spin statistic (negative parity[-]).

The theory of epps is earl. stop leaf (see egg, Egglepple, play)
/// +The formula is in direct correlation to spin-statistics. So, for example, when b is odd, say b=5, then c(=4) is an integer-spin (egg). When b is even, say b=8, then c(=11.3137085+) is a half-integer-spin (epp). The rational portion (floating point) of half-integer statistics contributes to seigniorage. Obviously, any negative value for b will yield an epp. (see juke tax)
+Yes, there are twenty-six (26) integer values here; we denote "0" as (0-,0+) → having both negative(-) and positive(+) polarity in twistorspace. For instance, -12 ... (0-,0+) ... +12 = [26]. The total number of coverages, c, is an upperbound for points on a curve, and so its number line must include 0 (hence 0 through 25). However, because any b=0 gives nonsensical values [error codes], the zeroes are discounted, and lower and upper bounds are just eleven (11). The minima (cover-0 = -11) is 0.015625 and the maxima (cover-25 = +11) is 32.

### +earl

earl (from "encrypted algebraicly-rational leaf") is UUe's systolic array. It uses cellular automation to batch process ellis. This is the Pink program's cantata.

earl "mutates" based on the transposition (inclusion/exclusion) of cells on the circuit.

In the theme of simulacra, earl is cellular (cyto) so as to be continually re-purposed for stereotyping stews.
 Notes (+): + In other words, represent the compute layer for EGP calculations. + 'Cellular automation' refers to the behavior of networked core processors designed as a systolic array. + earl complements ellis. This is the subject's sonata.