Showing posts with label knot. Show all posts
Showing posts with label knot. Show all posts


A link is a non-intersecting collection of knots. (not to be confused with Lnq, see also hyperlink)

Note (+): Likewise, we can describe a knot as a link with one (1) component.


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).


The image ("after the fold"/verso) function of a brane configuration [pencils+meshroom] is its final state, a closed🔒 string called fibor. The preimage will have mapped all frames to this image in a process known as stereotyping.

Note (+): In our case, since we tend to biochemical structure determinance, these are akin to chemical element mappings.


Folding is the name given to differential steps in the process of a brane's animation as it assumes its final topology. Attainment of this (solution) - the closed🔒 string [yesegalomeshroom] - should result in a 0-bubble twistor.

For the most part, "to fold" an object is to bend, compress, twist, or otherwise permute it so that it becomes self-integrated according to its calculus. By-and-large, we accomplish this using fruut as part of stew choreography.

A fold would be an intermediate state within the walk process (preimageimage). Essential to stereotyping, our interest in folds and folding*, in general, is so that we can (more easily) synthesize middlegame makeup.An act of hyperlinking (see also The Origamic Symphony, Gallivan fold, hyperlink, tip)

Note (+): An inbetween will not always qualify for being one of these states.


An opus' handicap, or just cap, is its projected yield, as measured in ¢ents (compounded to dollars). It is computed from the product of the actual fret (plus tax) multiplied by the maximum number of TOS semitones* (cap = fret × 2,600), thereby completing the ¢ent formula.One-hundred (100) ¢ents each.

This figure constitutes the extrema of the opus it represents (akin to how much twistor space it occupies). The cap is a spread (security estimate) that places a quote on the calculation derived from the above equation. Bounded extrema (minima/maxima) would constitute a potential loss for the juker/gain for the house, which can be rectified with improvisation. [Handicap commutations (≡) are fonts.] (see also coupon) Complexity: E

Note (+): Losses here are absorbed by the jukebox; jukers get no refund. But, improvisation (ie. fibor-bundling) can keep the game afloat.


The zero-bubble (also written as "0-bubble" or "0b") or "sponge" is a bubble shapeframe (stereogram*) with no inflatons (scalar fields responsible for blowup from a single point [0-brane]). A 0b is a type of homeomorphism as a totally twisted loop, and formally marks the end of a proof.🔲Greater than or equal to three (3) spatial dimensions.

Note (+): The supposition for 'zero' (+/-) is that when tabulating the yield, all spots on the mesh which would allow for an opening, vanish (0,0).

Sponges are the ideal [most secure🔐] ¢ent structures [keys] for a closed🔒 string (and thus, fibor). Taken by themselves, zero-bubbles (frictionless assets) are considered solved puzzles (ie. completely mapped/encrypted/melodic).

Function map: spongefibor