# the magic☆carpet

**Published by:** [bestape](https://paragraph.com/@bestape/)
**Published on:** 2023-09-29
**URL:** https://paragraph.com/@bestape/the-magic-carpet

## Content

(c-b)/a tangible as a Texas Hill Country dance deckmagic☆carpet with measuring sticks and pop-the-cork continuationpurposeWe co-manifested this elemental algebraic calculus of Infinite-beauty into the world. It is a many-faces union of The Pythagorean Theorem & The Golden Ratio. It is a newfound cornucopia forged in-reaction-by experiences during a perilous age. It is an expression of SpaceTimeScale’s no-sharp-separation ambiguities.artist autographed sidesymbolWe choose the spiral pattern for mysticism & electromagnetism. We choose the two-spiral pattern for the Sun & Moon balance of a Middle-Way path. We choose rectangles over curves for the 4-directions of Unit-circle orthogonality. We choose (b - c)/a = 10/12 = 5/6 æther for Pythagorean-triple relation to pentatonic scale. We choose b + c = 12 feet because it is 2 feet longer than a = 10.fox tracksour processideal spiralworksite numbersThe stationary perimeter of the spiral is a fixed 144-by-120 inches frame of reference. Coordinates on the horizontal axis (b + c “path perpendicular”) increment along the 5/6 constant’s even-powers [ (5/6)^0, (5/6)^2, (5/6)^4, … ]. Coordinates on the vertical axis (a “path parallel”) increment along the 5/6 constant’s odd-powers [ (5/6)^1, (5/6)^3, (5/6)^5, … ].ideal dance deckThe dance deck is 144-by-144 inches, or a 12-by-12 feet surface. With the a “path parallel” side of the spiral-border 2 feet shorter than the dance deck, the “path perpendicular” ends of the spiral include rug-like 1 foot header and footer borders.144x144, each gold line is 2 inches so that the calligraphic space is 5/6 of 1 footHeader, footer and cork art done by Bezuma.actual dance deckThe actual dance deck’s floor size is more than 144 and different on all 4 sides. A gold floor-border around 144-by-144 measurements offers an exact canvas and accentuates the rug aesthetic.actual dance deck measurements and gold floor-border solutionAfter æther^16, we corked the spiral.measurements taped, view from uphillis looking downhillisend product dance deckdance deck from aboveinteractivemeasureteal start even-side checks outleft 6-foot beam, even index of 22; right 5-foot bean, odd index of 22People can take these beams and place them on the deck, to measure if the spirals line up. Other interactions include cutting the beams into blocks, and people can measure block-by-block.continuationThe golden cork found at the center of the spiral is (5/6)^16 smaller than the spiral’s perimeter.the cork(5/6)^16 percent of 144-by-120 inches is roughly 7.79-by-6.49 inches. Here’s an image of what 7.79-by-6.49 looks like on 8.5-by-11 inches letter-sized paper:printable pop-the-cork imagePeople can print this 7.79-by-6.49 inches image and place it on top of the golden cork, converting the halted spiral into a non-halting spiral.pop-the-cork image applied to continue the spiral into the vanishing pointbackside of pop-the-cork, starting at 16 iterations of decay from the deck sizeThis is a similar idea as the continuation interaction. But rather than the golden cork or the non-halting spiral, people can fill in their own image.printable portal canvasFor quick application of the spiral, use a stencil. This can be 3D printed or cut out of material.stencil print-outdouble-sided cork NFTThese 18 tiles will become double-sided cork NFTs. Please visit here for the NFTs.late night spraythe collection on-deck1 of 18 spray-sideall 18 portal-side in Tiny1QR to the NFT collectionproportional decay offers in-frame perpetuitynatural numbers as automationTo index a non-halting pattern into a continuous count is to discretely mechanize it as finite “for-loop” processes; to count backwards is to have dipole positive and negative continuity.unavoidable exponents[ length, area, volume, … ] or [ position, velocity, acceleration, … ]; the index is along the exponent. These are the natural numbers within logarithmic functions.(c-b)/a utility(c-b)/a is the constant needed to convert a rectangle into a logarithmic function framework of a) Infinite in-frame rectangles along a projected vanishing point limit; where b) the exponents are an integer count. A (c-b)/a algorithm has Infinite “storage blocks” as a discrete repetition of the same process. As simple a perpetuity as mechanically possible that also continuously tiles a finite plane without gaps or overlaps.magic☆carpet (c-b)/amagic☆carpet (c-b)/a proofhttps://docs.google.com/spreadsheets/d/16R3nooUIRhQe2KJod1obKanpmZ-lE95ON93TZrp9FFg/edit#gid=016 instances, 15 recursions, (c-b)/aformula: 16 instances, 15 recursions, (c-b)/ab + c side, a sideformula: b + c side, a sideresourceshttps://github.com/bestape#oeis-contributions https://zenodo.org/record/5803948 https://github.com/bestape/alchemy https://ape.mirror.xyz/7X4RmO_wsuBTJsHnXiEC7IrCYkK3Ji0ULpHA9z5fSxQ http://powerlawgeometry.com

## Publication Information

- [bestape](https://paragraph.com/@bestape/): Publication homepage
- [All Posts](https://paragraph.com/@bestape/): More posts from this publication
- [RSS Feed](https://api.paragraph.com/blogs/rss/@bestape): Subscribe to updates
- [Twitter](https://twitter.com/bestape): Follow on Twitter