Sunday, December 22, 2019

Geometry Links - December 22, 2019

Tunable Crystal Symmetry in Graphene Enables Nanoelectromechanical Sensors

Controlling crystal growth for innovations in medicine, engineering

The Fascinating Secret Behind Crystals That Shrink When Heated

Tara Pratap Ebsworth

Neutrinos Lead to Unexpected Discovery in Basic Math

Six(?) sided vinyl record with overlapping tracks

More Edmund Harriss*
*see October 2019 Geometry Links: 
Patterns of the Universe: A Coloring Adventure in Math and Beauty by Alex Bellos and Edmund Harriss

How a Tesla valve works

Flower shapes and pollination analysis
“Modularity increases rate of floral evolution and adaptive success for functionally specialized pollination systems” by Agnes S. Dellinger, Silvia Artuso, Susanne Pamperl, Fabián A. Michelangeli, Darin S. Penneys, Diana M. Fernández-Fernández, Marcela Alvear, Frank Almeda, W. Scott Armbruster, Yannick Staeder and Jürg Schönenberger, 5 December 2019
All morphometric analyses were performed in R and scripts, they are available in file at

Aquatecture rain-catcher

Twixt - pegboard and string connection game reissued
hat tip to

Many ropes and one jumper

Victor Acevedo’s Digital Art Calendar

Optical Illusion of the Year

Friday, December 6, 2019

Geometry Links - December 6, 2019

Gamers can design folded proteins as realistically as experts can

Agnes Denes - if only for her recent pyramid and teardrop work but there’s a LOT more to her career

Steampunk Pavilion

Jon Sauer, lathe artist

Origami artist Robert Lang demonstrates 11 levels of origami

Anthony James, sculptor

Fifth force of nature, the protophobic force, found?
NB:  I include this because it comes from my fellow Hungarians and the angles mentioned, 115º and 140º, may strike a chord with geometricians

Portable, collapsible stool design

NYTimes on modern origami art

Protein-Based Pattern Formation

C60 Soccer Ball With Extra Proton Probably Most Abundant Form of Carbon in Space
Mysterious Buckyballs Found Throughout Interstellar Space Puzzled Scientists, Until Now

Bone Structure Discovery Inspires More Durable, Lightweight Airplane Wings

Friday, November 8, 2019

Geometry Links - November 8, 2019

The Art of Looking Up - 40 spectacular ceilings by great artists

Super-compressible material found through artificial intelligence

Victor Acevedo Live Mix Video Stills

Twistronics - two graphene sheets offset at 1.1º

Scientists create light with chirality

Shape changing, self-healing intelligent material

Fractal patterns in quantum material

Humpback whale bubble net feeding from two viewpoints
Editorial Comment:  Watch the video

Ada - an AI design

Growing borophene, a 2D material, to make an atomic skin

Modeling a bridge Leonardo Da Vinci designed for Istanbul's Golden Horn but never built

New structural design can morph into different shapes at different temperatures

Monday, October 21, 2019

Geometry Links - October 21, 2019


Morph - robotic sculpture

Weaving non-Euclidean bamboo

James Nolan Gandy’s spirographic artworks (and the machines he’s designed to make them)

Fluid simulator

Learned about the Farey Sequence from Edmun Harriss at a recent conference
Patterns of the Universe: A Coloring Adventure in Math and Beauty by Alex Bellos and Edmund Harriss

Mathematicians’ blackboards

Living Pavilion in Annecy, France

New designs for optical tools from kaleidoscope mirror symmetry

"Structural puzzles in virology solved with an overarching icosahedral design principle"

Power Flower Phi Sci - sacred geometry and more

Tiles - addictive pattern recognition game

Monday, June 10, 2019

Geometry Links - June 10, 2019

Soap Bubble Wiki

Mandalagaba - mandala drawing program

Generatively designed chair that folds flat

Gary Doskas videos on spherical geometry
Some experimental spherical geometric construction of spherical harmonics
How to derive a general solution for the trigonometric relationship between a sphere and circles drawn on its surface and some examples of the spherical geometric construction of spherical fractional harmonics

The origins of Spikey, the Wolfram Matematica logo, from the hyperbolic dodecahedron to the rhombic hexecontahedron

"‘Knitting Is Coding’ and Yarn Is Programmable in This Physics Lab"

Physicists Uncover Quantum Structure of Buckyballs
Rovibrational quantum state resolution of the C60fullerene

Cubipods, a shape to resist self-organization—and-Manufacturing-The-Story-of-Cubipods-and-the-Innovative-Mold-Required-to-Make-Them

Fractals, hand-drawn by Sheldon Ebbeler

Optical illusion - perpetual diamond

'Live Soap' component for interactive form-finding of minimal surfaces with topology changes

Another symmetry for leaf growth patterns

Friday, April 12, 2019

Geometry Links - April 12, 2019

Sound-blocking metamaterial uses shape for acoustic insulation that allows light and air to pass through it
hat tip at

Cross-section of a rattlesnake rattle

Bertoldi Group:  Materials and Structures by Design 

Grasshopper Geography river and forest maps

Shrine of Whatslove - robotically woven carbon-fiber structure devoted to love and marriage

3/4 icosa ice igloo

Polygonia Design - "Rapidly Create Symmetrical Designs for Manufacturing"

Geodesic pergola in rural China

Laser cut paper geometric art inspired by Islamic design

Machine learning for amino acids to determine protein function and structure
Editorial Comment:  I remember reading Harvey Bialy’s article on “The I Ching and the Genetic Code” in the magazine IO back in the day.  64 codons in DNA to describe amino acids, 64 changes in the I Ching.  The essay is available in the IO Anthology
Some more recent work:
Defragged Binary I Ching Genetic Code Chromosomes Compared to Nirenberg’s and Transformed into Rotating 2D Circles and Squares and into a 3D 100% Symmetrical Tetrahedron Coupled to a Functional One to Discern Start From Non-Start Methionines through a Stella Octangula

Scutoids and bubbles

Sableglass - geometric blown glass objects