/Egglepple [directory]

Creator: 🧑🏿Link Starbureiy

[pronunciation "/url/"]

Egglepple® :== 🧑🏿lnq's portfolio^* and middle name. ** As in porting from one directory of the 🍃leaf (recto) to the other directory (verso) of some function space. On the basis of quoting, fault tolerance increases with each proof and is infinite when completely solved (/totally sequenced).

Statistically, it is the animorphic (ie. to STU^{^n}) tape of leaf🍃 definitions (literally "🥚egg leaf🍃 ↔ epp leaf🍃"), and subjectively^{^} the cellspace (SMALL∪BIG ⊂ Stewniverse) spooling both ends of any generic 26-measure signal; but, mathemusically, the minor and major scales. ^^ Egglepple is what we are imaging (by stewcing/vending its calculus, STU, via gameplay. To make a Humpty Dumpty allusion, we break up the brane into finite pieces, only to put it back together again continuously.).

In terms of cell structure [:= 🔋polarized membrane] - Egglepple represents automata (ie. totality of circuitry between the cell membrane), itself an automaton (UUelcome). Ludologically, its kindergarten describes aspects of the braneworld.

"Egglepple is the ultimate puzzle🧩. It's like playing 26-dimensional ♟️chess in a spreadsheet." - 🧑🏿lnq
/// Egglepple is a portfolio of puzzles🏁, itself a puzzle🧩.

(Not to be confused with The Egglepple Company. See The Origamic Symphony🎶, koala8, "Egglepple, everywhere!", 📓Egglepple: Unfolded, 🎞️Egglepple: The Mathemagical World, Joey Koala🐨, Puwun, Stewniverse, yoyo, UUelcome, 🔋e:e statistics, quantumquotient, UUhistlegrass, stewc, STU, united under Egglepple, UUe, 🧑🏿lnq's Starting Five, 🧑🏿lnq's walk, 🧑🏿lnq's motif, 🧑🏿lnq nomenclature, mathemusic, Egghead/🥚Eggheads, #Egglepple@30)
/// +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 🧑🏿lnq nomenclature)
+To phonetically distinguish it from the name itself, the kindergarten/portfolio aspect of Egglepple is pronounced like 'egg·ul·epp·ul' (cf. the old 'Peggy from Margaret' conundrum).
+For those wondering why Egglepple has such a juvenile presentation, it's because the portfolio was founded/created when I was a little kid, and I intentionally never bothered maturing it in that regard (hence, the kindergarten). It was at this founding point that I pretty much committed to living full-time in my own world.
+The color scheme for the 'E-g-g-l-e-p-p-l-e' logo is a nod to the original team colors for the Miami Dolphins 🐬 🏈football franchise of the National Football League (NFL). The Miami Dolpins are the only team with aquatic (cf. Pisces♓) representation.

I kickstarted this on my twelfth birthday. Having somebody who believes in you can take you farther, and there's no convincing me otherwise. As the story goes, my sixth grade teacher, Mr. Woodring (without a doubt the best school teacher🍎 ever), picked me up from my house on my birthday and showed me around Washington, D.C. that evening. On the way home, he encouraged me to save my work (some of my doddles) in hopes of one day having something to present to the world that I could be proud of. That is the gist of how the portfolio came to be. Back in my elementary school days, I took a keen interest in puzzling🧩 (generally solving them, along with maze designs of my own imagination), which likely stemmed from both being an avid 🎮video gamer and personal mathematical curiosities. Each activity helped me to get 'lost' (a personality thing of mine, and something every kid needs in their development). Pronounced "earl", the word/name "Egglepple" itself didn't come about (I made it up) until the end of the century, although most of the other elements of the portfolio were already in place by then.

Function map: preimage ← Egglepple → image ⇔ UUelcome

/The Origamic Symphony🎶 [computation]

Composer: 🧑🏿Link Starbureiy
As a signal, The Origamic Symphony™℗ (Q♯) :== runtime normalizing (hyper/hypo = 0) lnq🧑🏿's movements. It is improvised/composed for solo joey🐨🪀.
/// This represents the totality of keys in sequence, forming the basis of our playback.

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

"There is this beautiful symphony playing - everywhere, all the time."^{^} - 🧑🏿lnq

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.** A continuous function. -- All walks are integrated in twistorspace, and output some stew derivative. (see mathemusic, preimage/image, UUelcome, Q♭, joey🎻, UUhistlegrass, 🧑🏿lnq's Starting Five, Juke Lemma, crypto compliance)
/// +The Origamic Symphony is the subject of 🧑🏿lnq's recital. -- Egglepple can also be thought of as the signal relay.
+Here "origami" specifies "p-brane (membrane/frame) folding". Namely, it is the twisting of measures (length) between the Planck and nano data.

/loopstring➿

loopstring➿, or l-string, :== 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).** As some measure of twistorspace.

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. (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)

/walk

walk :== some playable* spacetime complex folding algorithm (sequence of finite steps at fixed lengths).** Ludologically, some progression and its contrapuntal motion.

This is a plot/flow (ie. curvature) of a nut's path (a type of circuit as it would traverse the braneworld, indicative of current) with stochastic activity at specified movements (opening→middlegame→endgame). In all probability, walks chart a statistical distribution of their entropy (random variables transforming twistorspace).
/// Walks (as circuits) nessarily end in a charge (Q).
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 [stew choreography]. (see 🧑🏿lnq's walk, thread, sport, Pink Poem, route, tip, UUelcome)
/// In automation, walks are approximate source directives.
Function map: preimage → walk → image

/krayon

krayon (also known as 🧑🏿lnq's finger) :== a colloquy (for any number of) 🧑🏿lnq's personal choice of flageolet pencil✏️ (conductional in a stewc field).
/// 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 secundus* [with an end serving as the ornamenter].@@ Coded only to me, the impresario. ** Any finger (usually aside from the pollex) should suffice.

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. (see yoyo, 🧠brainbrane, Stewdio, UUelcome Matte, Koala Krayon, Pajamas, 🧑🏿lnq's bubblegum, cassette, k-mode. Compare baton)

/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 :== the coverage's resultant as a half-integer spin statistic (negative parity[^-]).

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 stewc 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 :== the coverage's resultant as an integer spin statistic (positive parity[⁺]).

start leaf (see 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 stewc 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.

/pitch

We refer to the intonation field of a brane (particularly an loopstring➿) as its pitch, or the pitch. In practical terms, this is simply the dimension (ie. length) of some random coil as measured in ¢ents🪙 [precisely, the measure between two (2) nuts]. (see port, key, coverage)
/// The pitch of the (subchem) yoke is Egglepple.

/brane

brane (from 'membrane') :== some mathematical generalization of a category from zero (0) or more higher dimensions. A combination of branes is called a mesh.

My portfolio is a twenty-six dimensional (26-dim) toy [🧩puzzleware] with braneworld structure according to pitch class:
0-brane = point particle
1-brane = string
2-brane = manifold/sheet/tape
3-brane = cell
.
.
.
25-brane = Starbureiy automaton
(see Egglepple, lnq🧑🏿, patch, walk, mathemusic)

/mathemusic

Formulator: 🧑🏿Link Starbureiy
mathemusic :== the functional conflation of brane classes defined as 'an incorporation of keys and timing to perturb a sinusoidal, 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*.** Solutions have melodic texture.

When we speak of mathemusic, we are generally doing so in the context of The Origamic Symphony🎶/Egglepple. (see ballet🩰, opera, ¢ent🪙, joey, mathletics, 🧑🏿lnq's Starting Five, 3-rex, fibor, UUe, stewc notation, QQ)

"All I hear is mathematics. All I see is music." - lnq🧑🏿

/// Contemporary mathemusic was originally formulated by 🧑🏿Link Starbureiy (its progenitor).🤓