+Egglepple

Creator: 🐨Link Starbureiy

[pronunciation 'egg-ul-epp-ul']

Egglepple® [🐨lnq's 'drug'] is a portfolio* of convertible stews. Technically, it is the polymorphic (ie. animorphic to Egp^{^n}) tape of leaf🍃 definitions (literally "🥚egg leaf🍃 ↔ epp leaf🍃"), and subjectively^{^} the formal name of our 26-dimensional membrane (SMALL∪BIG ⊂ Stewniverse) spooling both ends of any generic 26-measure scale; but, architecturally, the Planck and nano scales [domains] (known as subchemistry, C_s). Objectively, its kindergarten describes/refers to aspects of the braneworld.As in porting stews from one side of the 🍃leaf (recto) to the other side (verso). On the basis of quoting, risk tolerance increases with each proof and is infinite when completely solved (/totally sequenced). Egglepple is what we are imaging/training (by juking its calculus, EGP, via gameplay. To make a Humpty Dumpty allusion, we break up the brane into finite pieces, only to put it back together again continuously.). (not to be confused with The Egglepple Company. See also Quantumquotient [Egglepple axiom], The Origamic Symphony🎶, Egglepple, everywhere!, 📓Egglepple: Unfolded, 🎞️Egglepple: The Mathemagical World, Joey Koala, Puwun, yoyo, UUelcome, UUhistlegrass, juke, EGP, united under Egglepple, UUe, 🐨lnq's Starting Five, 🐨lnq's walk, 🐨lnq nomenclature, mathemusic, Egghead/🥚Eggheads)
/// +Joey Koala is the official mascot and Puwun the unofficial mascot of Egglepple.
+"Egglepple" was invented and coined by 🐨Link Starbureiy.🤓 The word is also part of his name (...he wanted a name history would remember when he "had created the greatest portfolio of all-time").😉 (see Link Egglepple Starbureiy nomenclature)
+Penultimately (if you really think about it), Egglepple is a drug💊.
+For those who wonder why Egglepple has such a juvenile presentation, it's because the portfolio was founded/created on my twelfth birthday, and I intentionally never bothered maturing it in that regard.

"Egglepple is the ultimate puzzle🧩." - 🐨Link Starbureiy

Function map: preimage ← Egglepple → image ⇒ UUelcome

+yoyo

lnq's yoyo is a spool of fibor acting as the stream of Egglepple. It is used for dribbling [a ball traversing a 1-brane]*. In gameplay, the yoyo+krayon^{^} comprise the primary mathemusical instrumentation in ballet performance [juking].A type of juggle in jukespace, where the yoyo appears as just plain/regular string (sans discs) readied for input [print staging] from the Stewdio. The yoyo and krayon (combination = joey [discs represent Joey Koala's ears]) work in k-mode. (see also UUhistlegrass, Pajamas)
/// For posterity, the yoyo (particularly the pullstring🧶🧵) is/was what eventually piqued my interest in string(theory + ludology).

+BIG brane

As permutations of Egglepple, there are twenty-four (24) BIG branes that comprise its/their own class - the 2-brane through 25-brane. Technically, these branes are any branes other than the SMALL branes [(0,1)-branes], and themselves are permutable. (see also MONEY)

+epp

As c=2^(b-1)/2 {b∈ℤ→26, /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 also 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.

+egg

As c=2^(b-1)/2 {b∈ℤ→26, /max=25 (0-25) || b = brane count [which is of the sesquilinear form (e^-,e⁺)]}, an egg is the coverage's resultant as an integer spin statistic (positive parity[⁺]).

The theory of eggs is ellis. start leaf (see also epp, Egglepple, play)
/// +The formula is in direct correlation to spin-statistics. So, for example, when b is odd, say b=7, then c(=8) is an integer-spin (egg). When b is even, say b=4, then c(=2.82842712+) 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.

+krayon

The krayon (also known as lnq's finger) is a colloquy (for any number of) 🐨lnq's personal choice of flageolet pencil (conductional in jukespace).
/// The spelling with a 'k' is of my recipe. It's actually (or would be) 'crayon🖍' (like the wax-based stylus), a favorite tool of mine used throughout my career for painting.
The krayon hosts a complete copy^@ [latest build] of UUelcome, and is, defaultly, an organic membrane utensil wrapping 🐨lnq's yoyo finger, as his jointed digitus medius* [with an end serving as the ornamenter]. When called, it undocks/peels from the hand allowing it to transform (unroll) into a bow [+joey]. 🐨lnq may (characteristically) also choose to wear the (dislodged) krayon held behind an ear.Coded only to me, the impresario. Any finger (usually aside from the pollex) should suffice. (see also yoyo, Stewdio, UUelcome Matte, Koala Krayon, Pajamas, 🐨lnq's bubblegum, cassette, k-mode. Compare baton)

+The Origamic Symphony🎶

Composer: 🐨Link Starbureiy
The Origamic Symphony™℗ (TOS) is the totality of Egglepple('s) movements (ie. keys in sequence) as a mathemusical simulacrum.

Resting atop the hypothesis that every brane arrangement is (geometrically) convertible, solvable, and scorable, TOS is responsive to the calculus of Egglepple resonances (the program of the portfolio imagined as frets pertinent to stereotyping EGP).

"There is this beautiful symphony playing - everywhere, all the time."^{^} - 🐨Link Starbureiy

The symphony treats the entire portfolio as a (single loopstring*) path integral (line) subject to integration (including integration-by-parts [the twisting of pencils]) and derivation. All walks are integrated in twistorspace, and output some stew derivative.Symphonic evidence is its subject (Egglepple). A continuous function. (see also UUelcome, Quantumquotient, UUhistlegrass, 🐨lnq's Starting Five, Juke Lemma)
/// +The Origamic Symphony is the subject of 🐨lnq's recital.
+Here "origami" specifies "p-brane (membrane/frame) folding". Namely, it is the twisting of measures (length) between the Planck and nano scales.

+loopstring

The loopstring, or l-string, is a string of unstereotyped 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). The string may be open🔓 or closed🔒, 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.As some measure of twistorspace.
/// +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 also stew)

+Big-O Tree

Big-O Tree™ (BOT^!) is UUe's metre.Like 'algorithmic botany'.

Pursuant to symphonic compile time, BOT is our auction arguments map for measuring nuts [per brane (Egglepple) sequencing]. On this graph, each node represents a ballet and its spacetime complexity* [(P ⊆ E) ∝ T]. Thus, there are 676 (26²) parent branches on the tree🌴 threading said leaf ports and residue.Cache flow
/// +The fitness workflow is the cumulative generation of loop-erased walks (ie. branch prediction algorithms).
+Although "Big-O" behaves mathematically like big O (limiting behavior of functions), the 'O' in the name is actually for 'org' (as in opus organization).
Issue-tracking and related specifications for Big-O Tree are indigenous to Pajamas. Such specifications help sew (control fibor threading) our cellular fabric. (see also bigo tree)
Function map: signature ↔ BOT ↔ pajamas

+mathemusic

Formulator: 🐨Link Starbureiy
Mathemusic is the functional conflation (via brane classes) of mathematics and 🎵music (defined as 'an incorporation of keys and timing') whose resultant is a γ-proof. This tends more towards being a supermathematical exercise grounded in the principles of music theory. However, it is practically expressing (with libretti) statistics in the framework of music (even sans sonically). Cryptologically, it is the algorithmic direction of variation*. When we speak of mathemusic, we are generally doing so in the context of The Origamic Symphony🎶/Egglepple.Solutions have melodic texture. (see also ¢ent, mathletics, 🐨lnq's Starting Five, 3-rex, fibor, UUe, juke notation)

"All I hear is mathematics. All I see is music." - 🐨Link Starbureiy

/// Contemporary mathemusic was originally formulated by 🐨Link Starbureiy.🤓

+walk

A walk is some playable* spacetime complex process (sequence of finite steps at fixed lengths). This is a plot of a nut's path (a type of integrated circuit as it would traverse the braneworld, indicative of currency flow or point spread) with stochastic activity at specified movements (opening→middlegame→endgame). In all probability, walks chart a statistical distribution of their entropy (random variables transforming twistorspace).Ludologically, some progression and its contrapuntal motion.
In proof theory, there are three (3) stages to a walk: (1) coil, (2) graphics, and (3) mesh.

We use walks as parse arguments in juking. (see also 🐨lnq's walk, thread, sport, Pink program, route, tip, UUelcome)
/// In automation, walks are approximate source directives.
Function map: preimage → walk → image

+key

A key is the pitch class of a brane. Keys define the chord progression (sequence) of a walk (ie. nut movement). Each of the twenty-six (26) different keys (A-Z) is a complexity controller for Egglepple's points of measurement [framing]. (see also EGP, RONALD, patch, yots, zero bubble)