Geometry Links - March 21, 2025

 Packaging design

https://x.com/gunsnrosesgirl3/status/1876944504051114400

A laptop stand from a single sheet of paper
https://www.core77.com/posts/134948/A-Laptop-Stand-Made-from-a-Single-Sheet-of-Recycled-Paper

Animated Mandelbrot zoom video with pastels and sepia pencil
https://www.youtube.com/watch?v=DU3TaKPhPac

Snowflakes: a chapter from the book of nature by Israel Perkins Warren - published in 1863 - with beautiful illustrations
https://publicdomainreview.org/collection/snowflakes-a-chapter-from-the-book-of-nature-1863/
https://archive.org/details/snowflakeschapte00warriala/page/n3/mode/2up
hat tip:  boingboing.net
A global classification of snow crystals, ice crystals, and solid precipitation based on observations from middle latitudes to polar regions
https://www.researchgate.net/publication/257132993_A_global_classification_of_snow_crystals_ice_crystals_and_solid_precipitation_based_on_observations_from_middle_latitudes_to_polar_regions which found that snowflakes can be divided into thirty-nine categories, further divisible by 121 subtypes.

Simone Conradi drawings "using mathematics and Python, no generative AI"
https://bsky.app/profile/sconradi.bsky.social

Geometric and other art, some intriguing ideas
https://lovid.org/

Unfold Form - origami reusable concrete form that reduces the need for both concrete and steel
https://ethz.ch/en/news-and-events/eth-news/news/2025/01/zigzags-for-greener-construction.html
https://www.core77.com/posts/135375/Architecture-Student-Invents-Brilliant-Formwork-that-Reduces-Concrete-n-Steel-Usage

Robert Obier’s sculptures and art
https://www.obierstudios.com/portraits
https://www.core77.com/posts/135547/Architect-Industrial-Designer-and-Sculptor-Robert-Obiers-Creations

"The go-to source for physical puzzles"
https://www.puzzlemaster.ca/
hat tip:  https://kk.org/cooltools/

Geometric cakes for Ramadan
https://www.bbc.com/travel/article/20240406-kek-lapis-the-most-beautiful-cake-for-ramadan

Animation of the three-body problem
https://mastodon.social/@infobeautiful@vis.social/114155933549054103

Smoke ring geometries
https://x.com/stonersvilla/status/1901635534721605898

Geometry Links - January 10, 2025

 Mathematicians discover new universal class of shapes to explain complex biological forms

https://www.ox.ac.uk/news/2024-09-12-mathematicians-discover-new-universal-class-shapes-explain-complex-biological-forms
The paper itself:  Soft cells and the geometry of seashells
https://academic.oup.com/pnasnexus/article/3/9/pgae311/7754698?login=false
hat tip boingboing.net

Structural modeling kit - magnets and springs
https://molamodel.com/
https://www.core77.com/posts/133959/Architecture-Student-Develops-Structural-Modeling-Kit-Now-Sells-Them-Worldwide

The Geometry of Concepts: Sparse Autoencoder Feature Structure - geometric structure in LLM-learned concepts
https://arxiv.org/abs/2410.19750

First coherent picture of atomic nucleus made of quarks and gluons
https://press.ifj.edu.pl/en/news/2024/10/15/

Online collection of plaid patterns
https://plaid-patterns.com/
hat tip boingboing.net

Kelli Anderson’s imaginative pop-up books
https://www.kellianderson.com/books/

Geometry of tides and rivers
https://www.instagram.com/p/DAEvhs1ynYD/
More at https://www.instagram.com/geometriasagrada.en/
hat tip:  boingboing.net

Alhambra Palace and Crystallographic Groups
https://structures.uni-heidelberg.de/blog/posts/2023_01_palace_crystallographic/index.php
hat tip Howard Rheingold

The vault organelle
https://en.wikipedia.org/wiki/Vault_(organelle)
hat tip Massimo @Rainmaker1973

"The Steampunk Whirling Wonder Fidget (Gear Ball)” 
https://www.grynalor.com/products/the-steampunk-whirling-wonder-fidget-gear-ball

Maze Generator
https://mazegenerator.net/
hat tip kk.org/cooltools

Moving Geometry from Vera Viana
https://veraviana.net/

Geometry Links - September 19, 2024

 Labyrinth Locator - find labyrinths all around the world

https://labyrinthlocator.org/
hat tip:  boingboing.net

Abu Dhabi real-time data sculptures of brain waves
https://twitter.com/SCDabudhabi/status/1793232852454351293

"A majestic visualization of the toroidal structure and flow of a smoke ring"
https://twitter.com/Rainmaker1973/status/1804085910763364836

What if we could see spacetime?
https://www.youtube.com/watch?v=YNqTamaKMC8
hat tip:  boingboing.net

Simulating Extreme SpaceTimes:  black holes, neutron stars, and beyond
https://www.black-holes.org/
Their videos are very good if you’re into spacetime dynamics on the cosmic scales
https://www.youtube.com/c/SXSCollaboration

Aleks Melnyk’s extensive metal stencil products
https://www.amazon.com/stores/AleksMelnyk/page/9D4534FA-EB02-45F9-A5EF-294E88E8A552
hat tip core77.com at https://www.core77.com/posts/132925/Aleks-Melnyks-Pyrography-Stencils

Lunar gravity simulator
https://www.core77.com/posts/133036/Acrobatic-Artist-Bastien-Dausses-Incredible-Low-Gravity-Invention

OCD Art
https://www.core77.com/posts/133324/Fighting-Through-Mental-Struggles-Incredible-Renderings-Created-with-Only-a-Pencil

Bridges Math Art Conference papers online
https://archive.bridgesmathart.org/2024/#gsc.tab=0
hat tip Gwen Turner

3D printed clear radiolaria from Jessica Rosenkrantz
https://mastodon.social/@nervous_jessica/112997128650862037
https://www.instagram.com/nervous_jessica/
https://n-e-r-v-o-u-s.com/
and
Bismuth crystal jigsaw puzzles
https://n-e-r-v-o-u-s.com/shop/product.php?code=410
hat tip:  https://www.core77.com/posts/133615/Experimental-Design-Lab-Nervous-Systems-Bismuth-Crystal-Puzzles

Elastic Grid - online interactive Op Art
https://elasticgrid.pinkus.link/
hat tip:  boingboing.net

Geometry Links - June 16, 2024

 Optical illusions illuminate neural pathways

https://scitechdaily.com/demystifying-vision-optical-illusions-illuminate-neural-pathways/

Peter Lu on Islamic Geometry
Quasicrystals in Medieval Islamic Architecture
https://www.youtube.com/watch?v=rldnu9rNpH8
Girih Tiles: Decagonal Geometry in Seljuq Architecture
https://www.youtube.com/watch?v=6AJx8IVcL_c
hat tip Eleftherios Pavlides

Most detailed (so far) 3D map of the Cosmos
https://news.ucsc.edu/2024/04/desi-universe-mapped.html
Video fly-through
https://www.youtube.com/watch?v=jRYUt9nE9b0

Kirby Urner’s slide deck on tetrahedral tessellators, Bucky Fuller's esoteric geometry of the B, E, A, S and T modules
https://docs.google.com/presentation/d/13QLfgKo6kyX0j0K0RJ7W0uisB0ZyeBiK-_qbzytipck/edit

Ancient Egyptian Calligraphy: A Beginner's Guide to Writing Hieroglyphs by Henry George Fischer
https://books.google.com/books?id=rWlk49hUmDIC&printsec=frontcover#v=onepage&q&f=false
hat tip Dr. Kirsten D. Dzwiza  https://youtube.com/@antikemagie, https://www.instagram.com/antikemagie/, https://www.antikemagie.com/
Editorial Comment:  a beautifully clear primer

Bacterial art
https://www.theguardian.com/artanddesign/gallery/2024/may/18/beautiful-bacteria-encounters-in-the-microuniverse-tal-danino

Twisted Torque Tensegrity
https://pretenst.com/construction/2024/04/23/torque

Rinus Roelofs' sculptures
https://www.facebook.com/photo?fbid=10233940204345848&set=pcb.10233940206985914
https://www.facebook.com/photo/?fbid=10234067851536948&set=pcb.10234067854537023

The Playful Eye: An Album of Visual Delight by Julian Rothenstein, Mel Gooding (Chronicle Books 2000):  "a virtual feast of games and visual tricks gathered from around the world.”
hat tip kk.org/cooltools

Daniele Barresi, champion carver
https://www.danielebarresi.net/carving
https://www.instagram.com/danielebarresi_artist/

Folding Camping Table, with a tensegrity element
https://www.core77.com/posts/132550/A-Nifty-Folding-Camping-Table

Custom rotating nozzles for 3D printing different textures in clay
https://www.core77.com/posts/132566/Producing-Crazy-Textures-by-3D-Printing-Clay-With-Custom-Rotating-Nozzles
https://www.instagram.com/piotr_wasniowski/

Geometry Links - May 4, 2024

 The marble floors of the Florence cathedral

https://www.reddit.com/r/ArchitecturePorn/comments/13dkqmy/the_16th_century_optical_illusion_of_florence/
https://www.reddit.com/r/ArtefactPorn/comments/qgsl9u/the_marble_mosaic_floor_of_the_florence_cathedral/
hat tip Monica Raymond

The Splash of a Drop - an 1895 study of drops of water splashing on a flat surface and the forms they make
https://publicdomainreview.org/collection/the-splash-of-a-drop-1895/
hat tip boingboing.net
Editorial Comment:  I bet Doc Edgerton knew this work and, if you don’t know Doc Edgerton, you should.

The New Mathematical Coloring Book:  Mathematics of Coloring and the Colorful Life of Its Creators by Alexander Sofer
https://link.springer.com/book/10.1007/978-1-0716-3597-1
hat tip Edmund Harriss

Souper Connect - A modular human-shaped block that can interlock and connect in endless ways
https://www.kickstarter.com/projects/hbb/hbb-human-building-blocks
hat tip core77.com

Cella - a Bauhausian Toy
https://www.youtube.com/watch?v=E7y9_rHrBnc
https://www.core77.com/posts/131781/Cella-A-Bauhausian-Toy

Stable torqued tensegrities from Gerald De Jong
https://www.facebook.com/photo/?fbid=10161035601318948&set=a.10150243650853948

Collaborating for Comprehensivity by CJ Fearnley, one of the founders of the Synergetics Collaborative
PDF version: https://drive.google.com/file/d/1bapsUhFtRDSPdAW6zRBe7omBlcghz-yi/ 
Amazon Kindle: https://www.amazon.com/dp/B0CW1K18B5/k

One painting, youth to age, depending upon perspective
https://www.instagram.com/reel/C5cfny9Mjc8/
hat tip Joan Mokray

Kagen Sound’s wooden puzzle boxes
https://www.youtube.com/watch?v=_NreYBwzRQk
hat tip boingboing.net

Root systems drawings
https://images.wur.nl/digital/collection/coll13/
hat tip http://kk.org/cooltools

Roman dodecahedron theories
https://www.washingtonpost.com/world/2024/04/30/roman-relic-norton-disney-dodecahedron-theories/
hat tip Amy Edmondson 

From Art to Math:  The Polymorphisms of the Polymorphic Elastegrity

https://drive.google.com/file/d/1nOIO3S0wxSSyINLFCU9CU2DedcSMAfnI/view

Geometry Links - March 22, 2024

 Rinus Roelof’s small exhibition at TEC, Oldenzaal the Netherlands

https://www.facebook.com/photo/?fbid=10233355533329438&set=pcb.10233355537849551

Mathematical patterns of Bach’s music
https://www.scientificamerican.com/article/secret-mathematical-patterns-revealed-in-bachs-music/

Sacred Geometry shop
https://www.geometrycode.com/shop/

Fynn Jackson, Origami sculptor 
https://www.instagram.com/jacksonsorigami/
https://www.etsy.com/shop/jacksonsorigami/
hat tip Vinay Gupta

Zellij, a style of North African mosaic work
https://twitter.com/BaytAlFann/status/1765319198996037662

Math Encounters: "Realizing Abstractions: what can mathematics do for art?" Edmund Harriss Nov. 2023
https://www.youtube.com/watch?v=KD9ujxO9D-I

How to fold the Miura ori
https://www.youtube.com/watch?v=ufA1Yvdq_kk
hat tip https://boingboing.net/2024/03/09/how-to-fold-a-piece-of-paper-like-a-satellite-solar-panel.html
More from the Fold Factory
https://www.youtube.com/@foldfactory/videos

NERVOUS Systems has been doing generative design since 2007
https://n-e-r-v-o-u-s.com/projects/
https://www.core77.com/posts/130027/Incredible-Sculptures-and-Fixtures-by-Experimental-Design-Studio-Nervous-System

Simulation of convection on the surface of Betelgeuse 
https://www.mpa-garching.mpg.de/1094283/hl202403

Naguri jig for wood patterning
https://www.core77.com/posts/130115/A-Clever-Jig-for-Producing-the-Naguri-Pattern-in-Wood

Hexabranchus sanguineus or the Spanish dancer
https://twitter.com/MikeHudema/status/1768840123020353998
hat tip Mike Udema: "Nature is amazing. Protect it.”

Penrose tilings and quantum information
https://www.quantamagazine.org/never-repeating-tiles-can-safeguard-quantum-information-20240223/
hat tip to Vinay Gupta

Geometry Links - February 15, 2024

 Music box Moëbius strip of Erik Satie’s Gymnopedie 1

https://wolfliving.tumblr.com/post/736992332742852608/mo%C3%ABbius-gymnopedy-transposition-de-la-1%C3%A8re
hat tip to Cory Doctorow

Bradford Hansen-Smith’s new book, the Circle: a wholemovement perspective, is now available, documenting is further explorations of geometry in folding the circle
https://www.amazon.com/Circle-wholemovement-perspective-Bradford-Hansen-Smith/dp/0976677350/ref=sr_1_21

Geek Mom’s LED light
https://mastodon.social/@geekmomprojects/111604449708190756

Trace Loops paper animation
https://www.instagram.com/p/CwYdu43q1cJ/
hat tip boingboing.net

Greek village where every house is decorated with geometric figures
https://www.bbc.com/reel/video/p0h2sy22/the-greek-island-of-geometrical-wonders

National Museum of Mathematics has online courses:  for instance, topological crochet
https://momath.org/onlinecrochet/

Lanny Smoot’s omnidirectional floor
https://boingboing.net/2024/01/18/disney-imagineer-showcases-a-new-holotile-floor-on-which-you-walk-without-going-anywhere.html

Golden Ratio Tetra Spiral
https://www.youtube.com/watch?v=WRw6asdcpow
hat tip David Brian Koski

Some geometric models from Rinus Roelof
https://www.facebook.com/photo/?fbid=10233200136004602&set=pcb.10233200139444688

Sponge spicules - a biologist friend mentioned them on Facebook and I took a look.  Very interesting structural component system(s)
https://en.wikipedia.org/wiki/Sponge_spicule
Hat tip to Manda Clair

Armenian alphabet also a numerical system for mathematics
https://www.bbc.com/travel/article/20240208-how-a-1600-year-old-alphabet-shaped-armenian-identity

Improved one corner balancing cube
https://willempennings.nl/balancing-cube/
hat tip boingboing.net

From Geometry Links:  https://geometrylinks.blogspot.com/2016/10/geometry-links-compendium-2011-october.html

Cubli - a cube that can balance, jump, and walk
http://youtu.be/n_6p-1J551Y