Geometry Links - December 9, 2020

 Bees “shimmering"

https://youtu.be/dU2rLhpaMAY

Editorial Comment:  Bees and ants and termites are amazing, with complex social organizations we can learn a lot from.  My notes to Honeybee Democracy are available at 
http://hubeventsnotes.blogspot.com/2018/05/honeybee-democracy.html and here’s a link to an architect who is using termite mounds as a model for passively cooling buildings in Africa and Australia:  https://www.greenbiz.com/article/how-termites-inspired-mick-pearces-green-buildings

"‘abstraction & reasoning corpus’ (arc) presents a fictional training set for agent reasoning testing for concepts such as hierarchy, object permanence, and symmetry. inspired by the work of ai researcher françois chollet, the work plays on ideas relating to pattern recognition in human and machine learning.”
https://left.gallery/work/abstraction-and-reasoning-corpus
http://cavvia.net/039/ARC/

Event of Vibration
https://www.facebook.com/howlinbuddha/posts/10164470271945541
https://www.facebook.com/Contemporary-Art-Japan-美術と街巡り-112670990258854/
https://www.core77.com/posts/102887/Using-a-Specially-Designed-Vibrating-Tabletop-to-Create-Live-Art
hat tip Marjorie Farrell

Whale shark patterns
https://twitter.com/tveitdal/status/1325006707773353984

Jeremy Mayer’s typewriter sculptures
https://jeremymayer.com/Artist.asp?ArtistID=18688&Akey=23SVCF6T&ajx=1
https://twitter.com/JeremyMayer
https://www.instagram.com/jeremymayer/
https://www.thisiscolossal.com/2020/11/jeremy-mayer-typewriter-sculptures/

3-D Cellular Automata
https://youtu.be/dQJ5aEsP6Fs

Victor Acevedo 2021 wall calendar
https://www.etsy.com/listing/911505661/wall-calendars?ref=shop_home_active_1&fbclid=IwAR0l2Tnv_r1jPBfxJHmXmVa78276b64MnshJhG1XP3-64D-uBcetYh2wyS0

Water in an acoustic field responding to harmonics
https://www.facebook.com/jain108academy/videos/1120004248387519

Voxels - modular metamaterials from MIT
https://news.mit.edu/2020/versatile-building-blocks-1118
hat tip Vinay Gupta
And another building system:  Extensor Construction Kit
http://www.mathmechs.com/
hat tip Edmund Harriss

Geobender - geometric toys
https://www.geobender.de/us/shop-2/?v=3a52f3c22ed6
https://www.tiktok.com/@geobender

Impossible Dominoes - how to make dominoes that bounce back up (you need two)
https://youtu.be/JlgAv1AYfBc

141 Optical Illusions
https://michaelbach.de/ot/
hat tip boingboing.net

Mathematical Art by Henry Segerman
https://www.shapeways.com/shops/henryseg
hat tip Kevin Kelly

A tetrahedron divided into thirds and fits inside an octahedron
https://geometrylinks.blogspot.com/2020/12/a-tetrahedron-divided-into-thirds-that.html
Editorial Comment:  I’m working on the interrelations of the Platonic Solids again these days

A Tetrahedron Divided Into Thirds That Fits Inside an Octahedron

Happy Merry New and Bah Humbug

Geometry Links - November 4, 2020

 Triple axis watch tourbillon

https://www.royist.com/horology/the-mbf-legacy-machine-thunderdome-jointly-signed-by-eric-coudray-and-kari-voutilainen/

https://www.nytimes.com/2020/10/12/fashion/watches-tourbillon-eric-coudray.html

Sisyphus Table - kinetic sand art
https://sisyphus-industries.com
https://boingboing.net/2020/10/16/sisyphus-tables-create-shifting-mathematical-sand-patterns.html

Jennifer Townley - mechanical and geometric art
http://www.jennifertownley.com
https://www.instagram.com/jennifertownleyart/
https://www.core77.com/posts/102331/Jennifer-Townleys-Mesmerizing-Mechanical-Sculptures

Anyons - bosons, fermions, and now anyons
https://www.quantamagazine.org/milestone-evidence-for-anyons-a-third-kingdom-of-particles-20200512/

Dave Blair’s video feedback kinetic sculpture
https://youtu.be/wMeV98BHLVE
https://www.youtube.com/channel/UCnvC7-_psQKJf31YpfnVlPQ

Scott Darby’s projects - programmer and sound designer
https://scottdarby.com/#projects

Simple software for complex wooden joints based upon Japanese carpentry traditions
http://ma-la.com/tsugite.html
https://www.u-tokyo.ac.jp/focus/en/press/z0508_00138.html

PORTALS & CRYSTALS at Crystal Bridges Museum in Arkansas - Crystals In Art Exhibit 2019
https://youtu.be/9GHvMEtdug4

Fire ant paintings
https://horacesnature.com/2019/05/20/fire-ball-ants-painting/

3D Solar Panel Design Increases Light Absorption By 125%
https://www.goodnewsnetwork.org/3d-solar-panel-design-increases-light-absorption-by-125pt/
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
https://www.osapublishing.org/optica/fulltext.cfm?uri=optica-7-10-1377&id=440926
Editorial Comment:  The design described reminds me of a Peano curve (https://en.wikipedia.org/wiki/Peano_curve) which I’ve seen suggested for a heat transfer system

Daniel Garber - sculpture and painting
https://wizardgarber.wixsite.com/wizardslair-1/emotional
https://wizardgarber.wixsite.com/wizardslair-1/landscapes
hat tip to Tom “Blue” Newell

Conservation of angular momentum demonstrated with a Hoberman sphere
https://youtu.be/64t-dVtDwkQ
hat tip to Karl Thidemann

Geometry Links - September 23, 2020

 Mobius Strips and Klein Bottles

https://www.gettyimages.com/photos/mobius-strip?mediatype=photography&phrase=mobius%20strip&sort=mostpopular
hat tip to Denise Ward

The first Klein Bottle House I knew about was a painting by Paul Laffoley, whom I knew a little
https://www.pinterest.com.au/pin/717057571894878914/
But someone’s actually built one in Australia
https://www.designboom.com/architecture/the-klein-bottle-house-by-rob-mcbride/

The Mesmerizing Microscopy of Trees: Otherworldly Images Revealing the Cellular Structure of Wood Specimens
https://www.brainpickings.org/2018/10/11/archie-f-wilson-wood-specimens/
hat tip to Marjorie Farrell

Andres Amador’s beach art
https://andresamadorarts.smugmug.com

Wicker Pavilion
http://www.dja.lv/projects/Wicker-Pavilion/
https://inhabitat.com/262-wicker-baskets-come-together-in-a-stunning-arched-pavilion/

A Madparker tweet video
https://twitter.com/madparker/status/1306803854361726976

Kinetic wooden sculptures by David C Roy
https://www.woodthatworks.com/wood-that-works-2010-2019

New discovery about the regular dodecahedron
https://www.wired.com/story/mathematicians-report-new-discovery-about-the-dodecahedron/

Inconvergent - code art
https://twitter.com/inconvergent/status/1308094415328731136
https://github.com/inconvergent/weir

Dinámica de fluidos en toda su gloria
https://twitter.com/HdAnchiano/status/1303798487830728705

Kumi Yamashita’s shadow art
http://kumiyamashita.com/light-shadow
https://youtu.be/PoxHdszQ5II - interview in English with Chinese commentary

Ghee Beom Kim's Geometric Art
https://sites.google.com/site/geometricarts/
https://www.facebook.com/ghee.b.kim

Geometry Links - September 7, 2020

 Ames Window optical illusion

https://youtu.be/0KrpZMNEDOY

Small geodesic greenhouse built from trash
https://youtu.be/pfHtIs9uZZA

The Bubble House is for sale
https://youtu.be/8JhWpEvmLws
https://www.core77.com/posts/101460/Architecture-Grad-Spends-10-Years-Building-Senior-Thesis-Bubble-House-Design-Lives-in-it-for-36-Years

Illusory Material
https://vimeo.com/398429214
https://www.core77.com/posts/101458/Design-Duo-Spots-Untapped-Potential-of-Multimaterial-3D-Printing-Lenticular-Effects-on-3D-Objects

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."
http://www.constructingtheuniverse.com

Logistic map connection between fluid convection, neuron firing, the Mandelbrot set and so much more
https://youtu.be/ovJcsL7vyrk

How a gemcutter makes the complex Cleopatra’s Eye
https://youtu.be/BLnw4n-BX14

Adapting Harvard’s Graduate School of Design courses to online only
https://www.core77.com/posts/101541/Steps-That-Harvard-Graduate-School-of-Design-is-Taking-to-Adapt-to-Online-Only-Courses

Ornitographies - the patterns birds make as they move through the sky
http://www.xavibou.com/index.php/project/ornitographies/

Trichroic prisms
https://youtu.be/0za1DM_azi8
https://youtu.be/OCOoZ1ylxyA

Gabriel Dawe’s rainbows made from thread
https://youtu.be/5VRu894Lgn0
https://youtu.be/Z6Aji6FWkZE

Elliot O’Neil’s infinity tables and layered plexiglass works
https://www.instagram.com/elliot.oneal/

Geometry Links - August 19, 2020

 Shock dissipation from fractal cubes

https://aip.scitation.org/doi/10.1063/5.0015179

https://scitechdaily.com/forging-high-tech-armor-from-shock-dissipating-fractal-cubes/

Plato’s cube and the natural geometry of fragmentation
https://www.pnas.org/content/early/2020/07/16/2001037117
https://scitechdaily.com/geophysicists-mind-blowing-discovery-plato-was-right-earth-is-made-on-average-of-cubes/

Pentadiamond - how build a harder diamond
https://scitechdaily.com/pentadiamond-scientists-devise-a-way-to-build-a-harder-diamond/
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.125.016001

Spherical Geometry Is Stranger Than Hyperbolic Geometry
https://youtu.be/yY9GAyJtuJ0
More videos from the developer of Hyperbolica, a computer game 
https://www.youtube.com/channel/UCrv269YwJzuZL3dH5PCgxUw

Japanese puffer fish nests
https://www.google.com/search?safe=active&rls=en&source=univ&tbm=isch&q=Japanese+puffer+fish+nest
Simple rules for construction of a geometric nest structure by pufferfish
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6098008/
hat tip to Joan Mokray

Little Architect - architectural building kit
https://us.arckit.com/products/arckitplay-little-architect
https://youtu.be/OUy9ryZLp4k - promo video
https://youtu.be/hXQBsvB9Ovo - 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
https://www.dallasnews.com/business/2020/08/01/how-a-tesla-engineer-redesigned-the-chocolate-chip/

Turkish artist Selma Gürbüz
http://www.selmagurbuz.com/en/exhibitions

Motoi Yamamoto - salt artist, his labyrinths are especially geometrical
http://www.motoi.biz/english/e_top/e_top.html

Cherry Blossoms - digital artwork
https://www.facebook.com/100004340581678/videos/1692432724244731

Multiplication by drawing lines
https://youtu.be/bbKjXKV9QNA

Balance Goddess Miniature
https://www.etsy.com/listing/587099829/balance-goddess-miniatura

Geometry Links - July 23, 2020

The Mathematics of Neural Networks (Explained Visually)
https://youtu.be/e5xKayCBOeU

Origami LED Wall Art
https://imgur.com/t/staff_picks/UQuMJK5

Animation full of optical illusions
https://vimeo.com/430690235

Stellarium - night sky atlas, pick a night and track the Heavens moment by moment 
https://stellarium-web.org

Geometric Hokusai from 100 Views of Mt Fuji
Through a Spider Web:  https://www.pinterest.com/pin/365495325984645798/
Torigoe:  https://commons.wikimedia.org/wiki/File:Hokusai,_Fuji_at_Torigoe.jpg
At Sea (note the Escher transformation long before Escher was born):  https://theconversation.com/how-hokusais-great-wave-came-into-the-world-77750

Paula Pietranera origami and sumie
https://www.paulapietranera.com/portfolio/

Susan Hensel "Geometric Stitch” online show
https://susanhenselprojects.com/product-category/geoshow/?product_count=36

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 (https://www.origamispirit.com/) 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 (https://www.origami-shop.com/en/registration-origami-world-marathon-august-2223-2020-xml-2658_2678-11874.html) and 

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

The life and work of Ruth Asawa
https://www.nytimes.com/2020/07/20/t-magazine/ruth-asawa.html

How curved edges affect the wrinkling of ultra-thin materials
https://scitechdaily.com/scientists-iron-out-the-physics-of-wrinkling/
https://aip.scitation.org/doi/10.1063/5.0006164

Geometry Links - July 7, 2020

Square Wave - kinetic sculpture
https://kinetrika.com

Difold origami folding bottle
https://www.kickstarter.com/projects/difold/origami-bottle/description

"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"
https://arxiv.org/abs/2005.10191
Beautiful Twitter thread introduction to the concepts
https://twitter.com/ryanjgallag/status/1263450637628555267

Wood rock set balancing blocks
https://audirin.com/collections/toys-games/products/wood-rock-set-balancing-blocks-natural-wood-toy

Sand drawing robot with 50 miniature servos and two half tanks - large scale “dot matrix” beach printer
https://youtu.be/i6IIcoQ3-C0
https://www.core77.com/posts/100381/Ivan-Mirandas-Sand-Drawing-Robot
Editorial Comment:  Ivan Miranda should talk with Theo Jansen and do this as a strandbeest
https://www.strandbeest.com

Octopus at 1600 meters
https://twitter.com/zaibatsu/status/1275967558521364480

"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."
https://www.foldnfly.com/index.html
hat tip https://kk.org/cooltools/

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.”
https://youtu.be/l3QQQu7QLoM

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"
http://www.psupress.org/books/titles/978-0-271-08242-4.html
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 
https://www.engadget.com/harvard-robotic-fabric-therapeutic-wearables-150108871.html
https://youtu.be/P1pgW6ANGO0

Barbara McKell Art - mandalas
https://www.facebook.com/pg/barbaramckell2019/photos/

Game engine for non-Euclidean worlds
https://youtu.be/kEB11PQ9Eo8

The Most Important Jigsaw Puzzle
https://www.dailykos.com/stories/2020/6/25/1956012/-The-Most-Important-Jigsaw-Puzzle

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."
https://en.wikipedia.org/wiki/Rose_engine_lathe
I learned about it through this interview with Brittany Cox, an antiquarian horologist and proprietor of Memoria Technica
https://www.hodinkee.com/articles/brittany-cox-of-memoria-technica-10-questions

How to make two far-flying paper airplanes
https://youtu.be/fgdBaOqlmvw
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.”
https://www.youtube.com/user/AWorldOfPaperr/featured

Leonardo Criolani - Italian designer 
https://www.leonardocriolani.com/index.html
hat tip:  core77.com

Degrees of Freedom - origami inspired mechanical engineer and his designs
https://www.instagram.com/degreesoffreedomco/
https://enjoydof.com

The work of Hadieh Shafie
https://www.hadiehshafie.com
https://globalvoices.org/2020/06/10/the-magic-of-paper-and-ink-a-conversation-with-iranian-american-artist-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."
https://youtu.be/rvVF5QWSYF4

Flipo Flip™ — Pocket Size Kinetic Skill Toy
https://www.kickstarter.com/projects/2107879482/flipo-fliptm-pocket-sized-kinetic-skill-toy

Adam Savage's One Day Builds: Rhombic Dodecahedron Infinity Box with Matt Parker!
https://youtu.be/65r_1TzJXaQ

Isamu Noguchi’s ashtrays
https://www.artandobject.com/news/isamu-noguchi-masters-art-ashtray

Optical Illusion:  Ninio’s Extinction Illusion - what you see is not what you get
https://www.core77.com/posts/100230/Optical-Illusion-You-Can-See-All-the-Dots-in-This-Image-But-Not-All-at-Once

John Kostick’s work on polar zonahedra - be sure to check out the 3D models linked to his paper
http://www.kosticks.com/polar-zonohedra.html
https://sketchfab.com/search?q=jjkostick&sort_by=-pertinence&type=models


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 (https://fold.it) 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
https://science.sciencemag.org/content/367/6483/1260
Structural basis for the recognition of SARS-CoV-2 by full-length human ACE2
https://science.sciencemag.org/content/367/6485/1444.long

Another way to approach the Coronavirus puzzle may be through sound.  There are sonic representations of the Coronavirus spike made by Markus Buehler (mbuehler@mit.edu) 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 
(https://soundcloud.com/user-275864738/sets/protein-counterpoint) and 
The Viral Counterpoint of the Coronavirus Spike Protein (2019-nCoV) 
(https://soundcloud.com/user-275864738/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.

Geometry Links - May 6, 2020

Reuleaux triangles roll like wheels
https://youtu.be/bNr6yQPItjM
hat tip:  boingboing.net

George Hart’s warped grid jigsaw puzzles
https://youtu.be/Enk4LCnOWiQ
hat tip:  boingboing.net

Sandra - kinetic sand sculpture, "a magnet mounted to a 2-axis SCARA mechanical arm to guide a steel ball through a bed of sand, creating an infinite number of patterns"
https://www.kickstarter.com/projects/edcano/sandsara
hat tip:  core77.com

Shape shifting geometric soft robot
https://youtu.be/XqgbLb8m77U
https://www.core77.com/posts/96164/Stanford-Engineers-Create-Inflatable-Shape-Shifting-Soft-Robot

Floating table - a tensegrity
https://youtu.be/76amOgNzdDQ
hat tip boingboing.net

Psychedelic hooping
https://www.youtube.com/watch?v=tRSbwUGySxA

Modernist Sandcastles by Calvin Seibert
https://www.instagram.com/calvinseibert/
https://www.theguardian.com/artanddesign/gallery/2020/mar/28/for-one-tide-only-modernist-sandcastles-in-pictures

Ruth Asawa wire sculptures to become USPS “Forever Stamps"
https://www.facebook.com/77648281928/photos/a.314242196928/10158519044841929/
https://boingboing.net/2020/04/07/ruth-asawa-postage-stamps-have.html

Shoji Sadao - visionary architect and colleague of R Buckminster Fuller and Isamu Noguchi
https://vimeo.com/397322766
hat tip to Joe Clinton

New aluminum metal-organic framework with ultrahigh porosity for storage of hydrogen or methane for vehicles
https://www.greencarcongress.com/2020/04/20200417-numof.html

Toilet paper fullerenes and Charmin nanotubes
https://observablehq.com/@rreusser/toiletpaperfullerenes-and-charmin-nanotubes

Alison Martin’s geometric constructions
https://www.instagram.com/alisonmartin57/
https://twitter.com/alisonmartin57

Geometry Links - March 29, 2020

Coloring Workshop: Beautiful Symmetry (Suitable for all ages)
Tuesday, March 31
12:30 pm EST
Online
RSVP at https://www.eventbrite.com/e/coloring-workshop-beautiful-symmetry-by-alex-berke-all-ages-tickets-100799496006

Alex Berke
Calm yourself with coloring and learn math in the meantime! Join Alex Berke, a creative computer scientist, civic hacker, and MIT Media Lab researcher, to engage with mathematical concepts visually through coloring challenges and puzzles. 

Come ready to color with us! 
Don't forget to bring your favorite coloring tools—your fine point colored pens, crayons, or a pencil you just found.
To participate, download and print out these coloring sheets:  https://drive.google.com/file/d/1Qd7eIuPo5uR3UMDHVUineM5dwzAgld2t/view

About the Book: Beautiful Symmetry by Alex Berke
Beautiful Symmetry is a coloring book about math, inviting us to engage with mathematical concepts visually through coloring challenges and visual puzzles. We can explore symmetry and the beauty of mathematics playfully, coloring through ideas usually reserved for advanced courses. The book is for children and adults, for math nerds and math avoiders, for educators, students, and coloring enthusiasts.

Through illustration, language that is visual, and words that are jargon-free, the book introduces group theory as the mathematical foundation for discussions of symmetry, covering symmetry groups that include the cyclic groups, frieze groups, and wallpaper groups. The illustrations are drawn by algorithms, following the symmetry rules for each given group. The coloring challenges can be completed and fully realized only on the page; solutions are provided. Online, in a complementary digital edition, the illustrations come to life with animated interactions that show the symmetries that generated them.

Traditional math curricula focus on arithmetic and the manipulation of numbers, and may make some learners feel that math is not for them. By offering a more visual and tactile approach, this book shows how math can be for everyone. Combining the playful and the pedagogical, Beautiful Symmetry offers both relaxing entertainment for recreational colorers and a resource for math-curious readers, students, and educators.

—————————— 

New 3D-Printed Lattice Designs Are Ultra-Lightweight and Ultra-Stiff
https://scitechdaily.com/new-3d-printed-lattice-designs-are-ultra-lightweight-and-ultra-stiff-despite-breaking-the-rules/

3-D printing glass
https://scitechdaily.com/new-3d-printer-produces-complex-glass-objects-video/
https://youtu.be/nBM_wsMscfc

Dissecting and redesigning protein-based pattern formation
https://scitechdaily.com/aiming-to-to-form-biological-patterns-scientists-dissect-and-redesign-protein-based-pattern-formation/
https://youtu.be/FbWf1bV_iZA

Tubulane Inspired Ultrahard Polymers
https://scitechdaily.com/tubulane-inspired-ultrahard-polymers-are-full-of-holes-but-stop-bullets-better-than-solid-materials/
https://youtu.be/F8ANx7z4ahw

Buckyballs in space made from carbon dust of dying stars
https://scitechdaily.com/mysterious-buckyballs-found-throughout-interstellar-space-puzzled-scientists-until-now/

Research reveals key molecular events in crystal growth
https://scitechdaily.com/research-into-the-mysteries-of-crystal-growth-reveals-key-molecular-events/

New high temperature superconductor, thorium decahydride (ThH10)
https://scitechdaily.com/thorium-superconductivity-new-high-temperature-superconductor-discovered/

Atomic-Level Imaging May Enable Metals With Unprecedented Properties
https://scitechdaily.com/atomic-level-imaging-may-enable-metals-with-unprecedented-properties/

Crystals that shrink when heated
https://scitechdaily.com/the-fascinating-secret-behind-crystals-that-shrink-when-heated/

Degrees of Freedom - origami furniture from a former SpaceX designer
https://enjoydof.com
https://www.core77.com/posts/94178/Self-Assembling-Origami-Furniture-Designed-by-Former-SpaceX-Engineer

Laser cut steel in nautilus shell forms
https://mckitterick.tumblr.com/post/611412676154884096
hat tip:  @doctorow

Geometry of Circles - 1979 Sesame Street video with score by Philip Glass
https://youtu.be/D-op5kqeoEc
hat tip:  boingboing.net

Geometry Links - March 1, 2020

Donald Knuth’s Christmas Lecture on π in the art of computer programming
https://thenewstack.io/donald-knuths-2019-christmas-tree-lecture-explores-pi-in-the-art-of-computer-programming/

A crystallographer finally gets her due:  Isabel Ellie Knaggs and the tetrahedral structure of carbon compounds
https://www.dailykos.com/stories/2020/1/25/1913430/-Isabel-Ellie-Knaggs-finally-gets-credit-for-her-crucial-discovery-91-years-later

Hana Hanashi - Flower Story - botanical animation of lifecycle of flowers
https://youtu.be/vDpFyHmt0AE
hat tip to JPMokray

Change of perspective 
https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEin4BRDM9zR7XA1Dqwj3IJD3eoic-Yithyphenhyphenk2qI3N0Zw6gn-5csV-gqGe22dYFbYSH6Nb08ECGNUfdtUUANUaZuFW0vbcr58NGRyTkaykcK2CoDJM1hzAvKLj8qc_Ia03vMyZYeb9-rG7s4/s640/doze_studio_151207.gif
hat tip to Bob Toabe

Lego microtonal guitar
https://youtu.be/rPCEImSfCwc
hat tip to boingboing.net

New Layered Magnetic Material Has Properties Useful for Twistronic Devices and Spintronics
https://scitechdaily.com/new-layered-magnetic-material-has-properties-useful-for-twistronic-devices-and-spintronics/

Crystal stacking process open up new possibilities
https://scitechdaily.com/crystal-stacking-process-opens-up-nearly-limitless-possibilities-for-new-materials-that-drive-future-technologies/

“Perfect” solar energy absorber created by laser etching metal with nanoscale structures
https://scitechdaily.com/perfect-solar-energy-absorber-created-by-laser-etching-metal-with-nanoscale-structures/
https://youtu.be/vAzzq6QfbIY

New Kirigami (Folded Paper) Designs Support 14,000 Times Their Own Weight
https://scitechdaily.com/new-kirigami-folded-paper-designs-support-14000-times-their-own-weight/
https://journals.aps.org/prx/abstract/10.1103/PhysRevX.10.011013

Time-Lapse Shows Bacterial Cultures Form a Flower Pattern
https://youtu.be/MUl1R_tho5g
https://scitechdaily.com/stunning-time-lapse-video-shows-surprising-beauty-found-in-bacterial-cultures/

Gold atoms form peculiar pyramidal structure
https://advances.sciencemag.org/content/6/1/eaay4289
https://scitechdaily.com/clusters-of-gold-atoms-form-peculiar-pyramidal-shape-first-time-remarkable-structure-imaged/

Logo design statistics
https://www.websiteplanet.com/blog/logo-design-stats/
hat tip:  carolina24toro