Wednesday, November 4, 2020

Geometry Links - November 4, 2020

 Triple axis watch tourbillon

Sisyphus Table - kinetic sand art

Jennifer Townley - mechanical and geometric art

Anyons - bosons, fermions, and now anyons

Dave Blair’s video feedback kinetic sculpture

Scott Darby’s projects - programmer and sound designer

Simple software for complex wooden joints based upon Japanese carpentry traditions

PORTALS & CRYSTALS at Crystal Bridges Museum in Arkansas - Crystals In Art Exhibit 2019

Fire ant paintings

3D Solar Panel Design Increases Light Absorption By 125%
Editorial Comment:  It takes about a decade to go from lab to the marketplace, if the lab development ever makes it that far, so pace your expectations
Light trapping in solar cells: simple design rules to maximize absorption - scientific paper
Editorial Comment:  The design described reminds me of a Peano curve ( which I’ve seen suggested for a heat transfer system

Daniel Garber - sculpture and painting
hat tip to Tom “Blue” Newell

Conservation of angular momentum demonstrated with a Hoberman sphere
hat tip to Karl Thidemann

Wednesday, September 23, 2020

Geometry Links - September 23, 2020

 Mobius Strips and Klein Bottles
hat tip to Denise Ward

The first Klein Bottle House I knew about was a painting by Paul Laffoley, whom I knew a little
But someone’s actually built one in Australia

The Mesmerizing Microscopy of Trees: Otherworldly Images Revealing the Cellular Structure of Wood Specimens
hat tip to Marjorie Farrell

Andres Amador’s beach art

Wicker Pavilion

A Madparker tweet video

Kinetic wooden sculptures by David C Roy

New discovery about the regular dodecahedron

Inconvergent - code art

Dinámica de fluidos en toda su gloria

Kumi Yamashita’s shadow art - interview in English with Chinese commentary

Ghee Beom Kim's Geometric Art

Monday, September 7, 2020

Geometry Links - September 7, 2020

 Ames Window optical illusion

Small geodesic greenhouse built from trash

The Bubble House is for sale

Illusory Material

Constructing the Universe - Michael S. Schneider's an "educator and writer who encourages a love of learning through an appreciation of the intersections of mathematics, nature, art, science and culture."

Logistic map connection between fluid convection, neuron firing, the Mandelbrot set and so much more

How a gemcutter makes the complex Cleopatra’s Eye

Adapting Harvard’s Graduate School of Design courses to online only

Ornitographies - the patterns birds make as they move through the sky

Trichroic prisms

Gabriel Dawe’s rainbows made from thread

Elliot O’Neil’s infinity tables and layered plexiglass works

Wednesday, August 19, 2020

Geometry Links - August 19, 2020

 Shock dissipation from fractal cubes

Plato’s cube and the natural geometry of fragmentation

Pentadiamond - how build a harder diamond

Spherical Geometry Is Stranger Than Hyperbolic Geometry
More videos from the developer of Hyperbolica, a computer game

Japanese puffer fish nests
Simple rules for construction of a geometric nest structure by pufferfish
hat tip to Joan Mokray

Little Architect - architectural building kit - promo video - video review
Editorial Comment:  When I was a kid, I used to design and build house models out of balsa wood.  Would have been good to have this

How a Tesla engineer redesigned the chocolate chip

Turkish artist Selma Gürbüz

Motoi Yamamoto - salt artist, his labyrinths are especially geometrical

Cherry Blossoms - digital artwork

Multiplication by drawing lines

Balance Goddess Miniature

Thursday, July 23, 2020

Geometry Links - July 23, 2020

The Mathematics of Neural Networks (Explained Visually)

Origami LED Wall Art

Animation full of optical illusions

Stellarium - night sky atlas, pick a night and track the Heavens moment by moment

Geometric Hokusai from 100 Views of Mt Fuji
Through a Spider Web:
At Sea (note the Escher transformation long before Escher was born):

Paula Pietranera origami and sumie

Susan Hensel "Geometric Stitch” online show

Origami Extravanganza! 
Foldeas: Sharing Ideas through Origami:  "Foldeas is a series of hands-on presentations, each one related–one way or another–to paper folding, by guest speakers from a wide variety of countries. They are cost-free, through the Zoom platform.   Gerardo has invited Leyla Torres (OrigamiSpirit) as the next guest speaker.  Leyla Torres has a wonderful website ( and many new folders have learned from her online videos. 
Saturday July 25, 11:00 - 1:00 pm (New York) / 4:00 - 6:00 pm (London) / 8:30 - 10:30 pm (New Delhi). Limited seating!

"48 Straight Hours of Folding with 48 world-class designers!   One workshop per hour!  It's all on Zoom and you will receive the recordings after the event (phew!).  The fee hasn't been posted yet but here's the link for registration ( and 

"OrigamiUSA has a wonderful program on Zoom (with recording after the event) called OrigamiConnect (  Every season there's a series of workshops available for $10 each.”
hat tip to Lucinda Davis

The life and work of Ruth Asawa

How curved edges affect the wrinkling of ultra-thin materials

Tuesday, July 7, 2020

Geometry Links - July 7, 2020

Square Wave - kinetic sculpture

Difold origami folding bottle

"A Clarified Typology of Core-Periphery Structure in Networks"
"We unpack an often overlooked distinction between hub-and-spoke and layered core-periphery models in empirical network analyses"
Beautiful Twitter thread introduction to the concepts

Wood rock set balancing blocks

Sand drawing robot with 50 miniature servos and two half tanks - large scale “dot matrix” beach printer
Editorial Comment:  Ivan Miranda should talk with Theo Jansen and do this as a strandbeest

Octopus at 1600 meters

"A database of paper airplanes with easy to follow folding instructions, video tutorials and printable folding plans. Find the best paper airplanes that fly the furthest and stay aloft the longest."
hat tip

A Decade of the Sun - "Every second of the 61-minute video represents images taken over a single day, with the first frame showing the sun on 2 June 2010, and the last frame captured on 1 June 2020.”

The Shape of Difficulty:  A Fan Letter to Unruly Objects by Bret L. Rothstein
"an ode to and exploration of these 'unruly objects'—Rubik's cubes, geometric dissections, secret-opening boxes, string disentanglements, and so many more"
Editorial Comment:  The author is a cousin I’ve never met.  He is the first enigmatologist I’ve known of.

Smart Thermally Activated Textiles - robotic fabric

Barbara McKell Art - mandalas

Game engine for non-Euclidean worlds

The Most Important Jigsaw Puzzle

Tuesday, June 23, 2020

Geometry Links - June 23, 2020

"A rose engine lathe is a specialized kind of geometric lathe. The headstock rocks back and forth with a rocking motion or along the spindle axis in a pumping motion, controlled by a rubber moving against a rosette or cam-like pattern mounted on the spindle, while the lathe spindle rotates. Rose engine work can make flower patterns, as well as convoluted, symmetrical, multi-lobed geometric patterns. The patterns it produces are similar to that of a Spirograph, in metal."
I learned about it through this interview with Brittany Cox, an antiquarian horologist and proprietor of Memoria Technica

How to make two far-flying paper airplanes
Every Friday Mahir Cave shows how to make a paper airplane - cool paper planes, from origami easy to complex.
Paper airplanes that fly far are his specialty and his goal is "How to make the best paper airplane in the world.”

Leonardo Criolani - Italian designer
hat tip:

Degrees of Freedom - origami inspired mechanical engineer and his designs

The work of Hadieh Shafie

Gömböc - a shape which has "only two equilibrium points—one stable and one unstable, instead of the usual minimum of 4.  It is self-righting no matter how you set it down."

Flipo Flip™ — Pocket Size Kinetic Skill Toy

Adam Savage's One Day Builds: Rhombic Dodecahedron Infinity Box with Matt Parker!

Isamu Noguchi’s ashtrays

Optical Illusion:  Ninio’s Extinction Illusion - what you see is not what you get

John Kostick’s work on polar zonahedra - be sure to check out the 3D models linked to his paper

Corona Virus
The most important jigsaw puzzle right now is the way the CoV-2 spike, a 3 part structure, attaches to the human ACE2 protein through which it can enter the cells of our bodies and figuring out how to stop it.

FoldIt ( is a citizen science crowdsourcing site on protein folding.  They’ve been up and running for over a decade and currently host a series of CoV-2 protein folding puzzles.  

These two papers, after a cursory search, are the clearest of representations of the spike and the protein I’ve seen:
Cryo-EM structure of the 2019-nCoV spike in the prefusion conformation
Structural basis for the recognition of SARS-CoV-2 by full-length human ACE2

Another way to approach the Coronavirus puzzle may be through sound.  There are sonic representations of the Coronavirus spike made by Markus Buehler ( and his team at MIT.  They translated the 20 amino acids into tones based upon their spectra and used duration and volume to indicate other features like curvature into helices and stretching out into flatness.  

The Sonification of the Coronavirus Spike Protein (Amino Acid Scale) is about 35 minutes long 
( and 
The Viral Counterpoint of the Coronavirus Spike Protein (2019-nCoV) 
( is nearly two hours long and has three distinct movements, (one for each strand of the spike?).

I’ve listened to both and played along with parts of both of them wondering if jamming with the virus could jam the virus or whether noise cancelling algorithms could cancel the CoV-2 spike, that is if the MIT amino acid to sound notation can go from sound to amino acid as well as amino acid to sound.

Naive or crazy as that may sound.

In any case, if you see anything on the Geometry Links of COVID-19 or ACE2, please let me know.  Would be good if we could focus more attention on this critical point, where virus meets human cell, as a whole species conversation because we just might need a whole species conversation right now, and not just on COVID19.

Stay safe, be well.