+Egglepple

🐸

Creator: 🧑🏿Link Starbureiy

[pronunciation 'earl']

Egglepple® is the portfolio* of convertible stews.** As in porting stews from one side of the 🍃leaf (recto) to the other side (verso) of some function space. On the basis of quoting, risk tolerance increases with each proof and is infinite when completely solved (/totally sequenced).

Ludologically, it is the animorphic (ie. 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 signal; but, mathemusically, the minor and major scales.^^ Egglepple is what we are imaging/training/vending (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.).

This is what gets vended in the jukebox, UUe. Objectively, its kindergarten describes/refers to aspects of the braneworld.

"Egglepple is the ultimate puzzle🧩." - 🧑🏿Link Starbureiy
/// Egglepple is a portfolio of puzzles🏁, itself a puzzle🧩.

(Not to be confused with The Egglepple Company. See The Origamic Symphony🎶, Egglepple, everywhere!, 📓Egglepple: Unfolded, 🎞️Egglepple: The Mathemagical World, Joey Koala🐨, Puwun, yoyo, UUelcome, 🔋e:e statistics, quantumquotient, UUhistlegrass, juke, EGP, united under Egglepple, UUe, 🧑🏿lnq's Starting Five, 🧑🏿lnq's walk, 🧑🏿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 Link Egglepple Starbureiy nomenclature)
+To phonetically distinguish it from the portfolio itself, the kindergarten aspect of Egglepple is pronounced like 'egg-ul-epp-ul'.
+For those wondering 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 (hence, the kindergarten). It was at this founding point that I pretty much committed to living full-time in my own world.

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). The 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. It's pronounced 'earl', which is the middle name I was given (to honor my parents).

Function map: preimage ← Egglepple → image ⇔ UUelcome

+The Origamic Symphony🎶

Composer: 🧑🏿Link Starbureiy
The Origamic Symphony™℗ (Q♯) is the totality of Egglepple('s) movements (ie. keys in sequence).
/// This forms the basis of our compute.
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 EGP).

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

^^ Symphonic evidence is its subject (UUelcome).

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 UUelcome, Q♭, joey, UUhistlegrass, 🧑🏿lnq's Starting Five, Juke Lemma)
/// +The Origamic Symphony is the subject of 🧑🏿lnq's recital. -- Egglepple can also be thought of as the signal relaying Q♯.
+Here "origami" specifies "p-brane (membrane/frame) folding". Namely, it is the twisting of measures (length) between the Planck and nano data.

+walk

A walk is some playable* spacetime complex process (sequence of finite steps at fixed lengths).** Ludologically, some progression and its contrapuntal motion.

This is a plot/flow 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).

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 🧑🏿lnq's walk, thread, sport, Pink program, route, tip, UUelcome)
/// In automation, walks are approximate source directives.
Function map: preimage → walk → image

+brane

A brane (short for membrane) is some mathematical generalization of a category from zero (0) or more higher dimensions.

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

+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[⁺]).

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 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.

+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 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.

+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 MONEY, coverage)

+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 EGP, RONALD, patch, yots, zero bubble)

+mesh

A mesh is technically (mathematically-speaking) defined as a sheaf of stews that is outputted as an image. (see 🍄meshroom, preimage, fibor)

+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 a juke 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 medius* [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)

+mathemusic

Formulator: 🧑🏿Link Starbureiy
Mathemusic is 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 ¢ent, mathletics, 🧑🏿lnq's Starting Five, 3-rex, fibor, UUe, juke notation, QQ)

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

/// Contemporary mathemusic was originally formulated by 🧑🏿Link Starbureiy.🤓

+meshroom

To meshroom (v.) is to coordinate The Origamic Symphony🎶 within juke field [Q♯↦j].

It dictates that, because Egglepple is (ludologically) a p-brane* connecting the vector scale extrema, the notion of cell space algebras being conflated epimorphically within a curvilinear framework is important for defining variation (groove∪melody).** In this case, 'p' stands for (my) 'portfolio'.😇

Meshrooming advances genetic algorithms [: fold measured (partite) monomers in order to deduce a mesh] for twistors by considering (visualizing) them as embedded datapoints on a neural network [nn] (ie. flavor⇒sequence→mesh). (also of interest: loopstring, Pink program, identity)
/// Compositing is hypothesized to be accomplished under a single preimage.
Function map: j → pm [...eventual self-synthesis]

+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]*.** A type of juggle in juke field, where the yoyo appears as just plain/regular string (sans discs) readied for input [print staging] from the Stewdio.

In gameplay, the yoyo+krayon^{^} comprise the primary mathemusical instrumentation in ballet performance [juking].^^ The yoyo and krayon (combination = joey [discs represent Joey Koala's ears]) work in k-mode. (see 🧠brainbrane, UUhistlegrass, Pajamas)
/// For posterity, the yoyo (particularly the pullstring🧶🧵) is/was what eventually piqued my interest in string(theory + ludology).