#quasicrystal — Public Fediverse posts

A short video of another related old experiment, here showing a few random variations (4-5 secs each) using a low discrepancy sequence to iteratively create Voronoi patterns reminiscent of quasi-crystal lattices...

Made with https://thi.ng/lowdisc and https://thi.ng/geom-voronoi

Demo:
https://demo.thi.ng/umbrella/quasi-lattice/

Source code (minimal code, more comments than code):
https://github.com/thi-ng/umbrella/blob/develop/examples/quasi-lattice/src/index.ts

Ps. Also check out @hamoid's recent Voronoi work (which just made me look for this video 😉)...

#TextureTuesday #ThingUmbrella #LowDiscrepancy #Voronoi #QuasiCrystal #Lattice #Pattern #TypeScript

A short video of another related old experiment, here showing a few random variations (4-5 secs each) using a low discrepancy sequence to iteratively create Voronoi patterns reminiscent of quasi-crystal lattices...

Made with https://thi.ng/lowdisc and https://thi.ng/geom-voronoi

Demo:
https://demo.thi.ng/umbrella/quasi-lattice/

Source code (minimal code, more comments than code):
https://github.com/thi-ng/umbrella/blob/develop/examples/quasi-lattice/src/index.ts

Ps. Also check out @hamoid's recent Voronoi work (which just made me look for this video 😉)...

#TextureTuesday #ThingUmbrella #LowDiscrepancy #Voronoi #QuasiCrystal #Lattice #Pattern #TypeScript

A short video of another related old experiment, here showing a few random variations (4-5 secs each) using a low discrepancy sequence to iteratively create Voronoi patterns reminiscent of quasi-crystal lattices...

Made with https://thi.ng/lowdisc and https://thi.ng/geom-voronoi

Demo:
https://demo.thi.ng/umbrella/quasi-lattice/

Source code (minimal code, more comments than code):
https://github.com/thi-ng/umbrella/blob/develop/examples/quasi-lattice/src/index.ts

Ps. Also check out @hamoid's recent Voronoi work (which just made me look for this video 😉)...

#TextureTuesday #ThingUmbrella #LowDiscrepancy #Voronoi #QuasiCrystal #Lattice #Pattern #TypeScript

A short video of another related old experiment, here showing a few random variations (4-5 secs each) using a low discrepancy sequence to iteratively create Voronoi patterns reminiscent of quasi-crystal lattices...

Made with https://thi.ng/lowdisc and https://thi.ng/geom-voronoi

Demo:
https://demo.thi.ng/umbrella/quasi-lattice/

Source code (minimal code, more comments than code):
https://github.com/thi-ng/umbrella/blob/develop/examples/quasi-lattice/src/index.ts

Ps. Also check out @hamoid's recent Voronoi work (which just made me look for this video 😉)...

#TextureTuesday #ThingUmbrella #LowDiscrepancy #Voronoi #QuasiCrystal #Lattice #Pattern #TypeScript

A short video of another related old experiment, here showing a few random variations (4-5 secs each) using a low discrepancy sequence to iteratively create Voronoi patterns reminiscent of quasi-crystal lattices...

Made with https://thi.ng/lowdisc and https://thi.ng/geom-voronoi

Demo:
https://demo.thi.ng/umbrella/quasi-lattice/

Source code (minimal code, more comments than code):
https://github.com/thi-ng/umbrella/blob/develop/examples/quasi-lattice/src/index.ts

Ps. Also check out @hamoid's recent Voronoi work (which just made me look for this video 😉)...

#TextureTuesday #ThingUmbrella #LowDiscrepancy #Voronoi #QuasiCrystal #Lattice #Pattern #TypeScript

D20-shaped Quasicrystal Makes High-Strength Alloy Printable https://hackaday.com/2025/04/18/d20-shaped-quasicrystal-makes-high-strength-alloy-printable/ #materialsscience #crystallography #3dprintedmetal #quasicrystal #Science

D20-shaped Quasicrystal Makes High-Strength Alloy Printable - When is a crystal not a crystal? When it’s a quasi-crystal, a paradoxical form of ... - https://hackaday.com/2025/04/18/d20-shaped-quasicrystal-makes-high-strength-alloy-printable/ #materialsscience #crystallography #3dprintedmetal #quasicrystal #science

In the past few weeks I have been trying to understand the eigenvalue problem (time-independent Schrödinger equation)

–𝑢'' + λ (cos 𝑥 + cos τ𝑥) 𝑢 = 𝐸𝑢

where λ is a parameter, 𝐸 is the eigenvalue (blame the physicists for the notation), τ is the golden ratio and the problem is posed on the infinite line. The motivation comes from quasicrystals.

Some solutions are localized around a minimum of the potential, but the none of the corresponding eigenvalues are isolated.

At higher energies, solutions spread out over the whole line, giving rise to the absolutely continuous spectrum which is a Cantor set.

This is wild, at least for me, but partially supported by my own computations and functional analysis results. But I am not fully confident of the former and struggling to understand the latter, so I am not sure whether this picture is complete or even correct.

The more I look into it, the less I understand ... any pointers are appreciated.

#FunctionalAnalysis #quasicrystal #SchrodingerEquation

#PhysicsJournalClub
"Direct observation of colloidal quasicrystallization"
by Y. Gao, B. Sprinkle, DWM Marr, and N. Wu

Nat. Phys. (2025)
doi.org/10.1038/s41567-025-02859-z

Quasicrystals are weird. When you solidify something it tends to get into a high-order state: a crystal. If you cool it down too fast so it doesn't manage to make a monocrystal it will form a polycrystalline state or, worse case scenario, something completely amorphous like a glass.
But quasicrystals are weird. They are ordered structures that lack a periodicity and making them is not easy.
In this paper the authors show how paramagnetic colloidal microspheres (i.e. big enough to be clearly visible under a microscope) subject to an electromagnetic field spontaneously arrange themselves into a quasicrystal.

This is 100% not my field, but the ability to create quasicrystals on demand looks so cool!

#Physics #Chemistry #Quasicrystal

#HowToThing #022 — Quasi-random lattice generator using https://thi.ng/lowdisc and https://thi.ng/geom-voronoi

These infinite and parametric low-discrepancy sequence generators can be used to produce n-dimensional samples/points and are useful for a whole range of graphics (and more generally sampling related) topics and generative design techniques. The example also shows basic usage of the 2D Delaunay/Voronoi mesh, incl. obtaining cells which can be automatically clipped against a user-provided convex boundary polygon.

Demo (reload to randomize):
https://demo.thi.ng/umbrella/quasi-lattice/

Source (more comments than code 😎):
https://github.com/thi-ng/umbrella/tree/develop/examples/quasi-lattice/src/index.ts

Further reading:
https://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/
https://en.wikipedia.org/wiki/Low-discrepancy_sequence

#ThingUmbrella #Voronoi #Quasicrystal #Generative #Graphics #LowDiscrepancy #Sampling #Geometry #TypeScript #JavaScript #Tutorial

https://www.eurekalert.org/news-releases/982581

"We showed that a magnetic quasicrystal lattice can host states that go beyond the zero and one bit states of classical information technology,” Lopez-Bezanilla said. “By applying a magnetic field to a finite set of spins, we can morph the magnetic landscape of a quasicrystal object"

#magnetism #qubit #quantumComputing #quasicrystal #informationTechnology #magneticField #spin #quantumSpin #spinStates #morphing

https://www.eurekalert.org/news-releases/982581

"We showed that a magnetic quasicrystal lattice can host states that go beyond the zero and one bit states of classical information technology,” Lopez-Bezanilla said. “By applying a magnetic field to a finite set of spins, we can morph the magnetic landscape of a quasicrystal object"

#magnetism #qubit #quantumComputing #quasicrystal #informationTechnology #magneticField #spin #quantumSpin #spinStates #morphing

https://www.eurekalert.org/news-releases/982581

"We showed that a magnetic quasicrystal lattice can host states that go beyond the zero and one bit states of classical information technology,” Lopez-Bezanilla said. “By applying a magnetic field to a finite set of spins, we can morph the magnetic landscape of a quasicrystal object"

#magnetism #qubit #quantumComputing #quasicrystal #informationTechnology #magneticField #spin #quantumSpin #spinStates #morphing

https://www.eurekalert.org/news-releases/982581

"We showed that a magnetic quasicrystal lattice can host states that go beyond the zero and one bit states of classical information technology,” Lopez-Bezanilla said. “By applying a magnetic field to a finite set of spins, we can morph the magnetic landscape of a quasicrystal object"

#magnetism #qubit #quantumComputing #quasicrystal #informationTechnology #magneticField #spin #quantumSpin #spinStates #morphing