Geometry Links - July 19, 2026

Probability density map of the single electron of hydrogen
https://x.com/cosmosarcive/status/2075167136067293476

Volume 28, Issue 3 of the Nexus Network Journal, articles selected from the papers presented at the Nexus Conference 2025 in Vicenza, Italy, amidst the extraordinary legacy of Andrea Palladio
https://link.springer.com/journal/4/volumes-and-issues/28-3

All elementary functions from a single binary operator
Paper: https://arxiv.org/abs/2603.21852
Illustration: https://x.com/pickover/status/2075588890006573227

A Neural Sheet Discovers the Shape of Data
https://x.com/mathelirium/status/2075617210135945601

The different forms DNA takes

https://x.com/mathemetica/status/2076310833953755380
Editorial Comment: DNA and the origin of life have been among my tangential interests since high school.
And in recent news: "Scientists have discovered all five canonical nucleobases (adenine, guanine, cytosine, thymine, and uracil)—the fundamental building blocks of DNA and RNA—in pristine samples from the carbonaceous asteroids Ryugu and Bennu. Researchers also found precursor compounds like amino acids and ribose sugars, strongly reinforcing the theory that meteorites delivered the molecular ingredients for life to early Earth.”

The Escherian Stairwell at Rochester Institute of Technology
https://www.youtube.com/watch?v=iBY4HaAngaA

Patterns set by Bessel function zeros
https://x.com/mathemetica/status/2076705550688211241

Spinning the Yin/Yang symbol
https://x.com/Rainmaker1973/status/2077050486906065198

Orbital resonance in the solar system
https://x.com/cosmosarcive/status/2077326272775217498

Resonance nodes on a circular plate - cymatics in 2 & 3D
https://x.com/mathemetica/status/2078170771269341501

Weird geometry, kisrhombille, forsythia, whelmer, drifter, writher, clouder, powerbox, source, documentation, animations and graphics
https://fleen.org/
hat tip Cliff PIckover

Physical realities beyond the Standard Model
https://x.com/Dragonmaurizio/status/2078490402295107707

Editorial Comment: I’m seeing more interesting geometry in my feeds these days. Ideas are exploding it seems.

Geometry Links - July 10, 2026

Sand watch
https://x.com/spydenator/status/2062867816534143162

Icositetrahedron with twelve regular heptagonal cross-sections
https://www.facebook.com/reel/1721999075896555
hat tip Kirby Urner

Skeleton of a stingray
https://www.tumblr.com/wewantnothing2/819977959294337024/the-skeleton-of-a-stingray

Mesh Module
https://designawards.core77.com/Toys-Play/143113/MeshModule-A-Playful-Modular-Mesh-System-for-Creative-Construction

Complete notebooks of Leonardo da Vinci now online
https://teche.museogalileo.it/leonardo/ricostruzioni/index.html?lang=en

Gerald De Jong’s "mobile tensegrity at scale"
https://www.facebook.com/photo?fbid=10164141494898948&set=pcb.10164141517248948
https://fluxe.art/

Monorhaphis Chuni - the structure of an 11,000 year old deep sea sponge
https://timesofindia.indiatimes.com/etimes/trending/this-deep-sea-creature-can-live-up-to-15000-years/articleshow/115060151.cms

Polyèdres et particularités mathématiques
https://www.facebook.com/groups/196165767185827/

A common roadmap for mathematical models of brain rhythms
https://x.com/VFD_org/status/2073180094835589537
https://x.com/VFD_org/status/2073180094835589537/photo/1

Canonical Projection Tiling (4 → 2)
https://edmund.mathematicians.org.uk/shaders/4to2CPT/

Visualization of the building blocks of matter in a dynamic 3D spiral
https://x.com/mathemetica/status/2075199649443643770

Zernike polynomials Z_n^m form an orthogonal basis set over the unit disk
https://x.com/mathemetica/status/2074936053304320113