Want to learn mathematical illustration, including CAM/CNC (controlling robots to cut wood) from me? Many other options including 3d modelling and storytelling. Apply for the @PCMI summer school on Illustrating Mathematics, July 19-23. #mathart #mtbos
https://www.ias.edu/pcmi/2021-graduate-summer-school-course-descriptions
http://illustratingmath-pcmi.org
(we are the second week).
"The school is targeted both to graduate students and to mathematics community members from all backgrounds. So do apply if interested, but do not consider yourself a grad student. Math teachers are certainly welcome!"
“Let it begin with a tetrahedron” by Joe Clinton
https://vimeo.com/525731769
John Kostick modeling the relationship of the Pentagonal Dodecahedron and Rhombic Dodecahedron which can share a cubic frame in vZome
https://skfb.ly/6ZBEZ
and here: https://skfb.ly/6ZBFo
https://vzome.com/app/?url=https://gist.githubusercontent.com/John-Kostick/ae83777b06dc74512937e031f7acf0b0/raw/3e4c06eb7a6c572e54e70436c91c4891fc9a24d6/Icosa%20Inscribed%20in%20RD.vZome
https://vzome.com/app/?url=https://gist.githubusercontent.com/John-Kostick/6168639fced5301cadb6038bf8584e9e/raw/99f28c902fc0f0a86ae89580945f903585b1aa0f/Dodeca%20inscribed%20in%20RD.vZome
The Levine Sequence
https://youtu.be/KNjPPFyEeLo
DNA Phenotyping
Art: https://deweyhagborg.com/projects/stranger-visions
https://deweyhagborg.com/projects/
Commerce: https://snapshot.parabon-nanolabs.com
https://www.nature.com/articles/d41586-020-02545-5
Editorial Comment: Who owns your DNA?
Biedermeier Secretary masterpiece
https://youtu.be/PeavOrxFycc
hat tip www.core77.com
Flux from Collectif Scale
https://vimeo.com/471005339
hat tip to www.core77.com
Geometric projection candleholders
https://www.gregblanpied.com/candleholders
Modular Arithmetic
https://www.gregblanpied.com/modular-arithmetic
More from designer Glen Blanpied
https://www.gregblanpied.com/
hat tip boingboing.net
Marlinespike Chandlery - intricate woven rope work
http://www.marlinespike.com
Collision of bubble rings
https://youtu.be/t2kvEC852MI
Bubble net feeding
https://youtu.be/JZlqNCPWld8
Victor Acevedo’s geometric art NFTs
https://opensea.io/collection/victor-acevedo
Tensegrity art by Gerald de Jong
https://getpretenst.com
Wednesday, April 21, 2021
Tuesday, March 9, 2021
Geometry Links - March 9, 2021
Snowflakes in reverse
More giant snow designs
https://www.bbc.com/news/world-europe-56024213
Morph - "486 stepper motors, 86,000 LEDs and a 5 channel granular synth engine"
https://twitter.com/nburdy/status/1360220925820604419
https://twitter.com/nburdy/status/1360221061594423297
https://twitter.com/nburdy/status/1360221185536098304
Chaldny Figures, Cymatics, and the visualization of sound
https://publicdomainreview.org/collection/chladni-figures-1787
https://youtu.be/Yw13EAX3cZk - visualization starts about one minute in
Inflatable greenhouse structure
https://www.intelligentliving.co/inflatable-bamboo-structure-greenhouse/
2-D Nanomaterials “kinked” to become transistors or computer chips
https://scitechdaily.com/graphene-nano-origami-creates-tiniest-microchips-yet-could-make-computers-and-phones-thousands-of-times-faster/
https://pubs.acs.org/doi/10.1021/acsnano.0c06701
New crystalline form for ice: Ice XIX
https://scitechdaily.com/exotic-ice-xix-new-crystalline-ice-form-decoded/
Editorial Comment: A fictional Ice Nine appears in Kurt Vonnegut’s Cat’s Cradle. Vonnegut’s brother, Bernard Vonnegut, was an atmospheric scientist who used silver iodide for cloud seeding.
Turing Patterns - a deep dive
https://www.dailykos.com/stories/2021/2/24/2017885/-Cool-weirdness-or-weird-coolness-a-deepish-dive-celebrating-basic-science-in-its-esoteric-glory
Rubbish Things
https://decodesign1031.wixsite.com/mysite/blank-3
https://pen-online.com/arts/takuto-ohta-creates-strange-moving-sculptures/
Editorial Comment: Reminds me of Theo Jansen’s Strandbeests crossed with Miyazaki’s anime yokai (Japanese spirit creatures)
Murmurations - the shape of the flights of flocks of starlings avoided a hawk
https://vimeo.com/370007362
More at http://geometrylinks.blogspot.com/2017/05/
Ornitographies by Xavi Bou
http://timewheel.net/amazing-chronophotographs-capture-patterns-birds-flight/
http://www.xavibou.com
Unfolding “locked letters"
https://www.nature.com/articles/s41467-021-21326-w.epdf
https://www.nytimes.com/2021/03/02/science/locked-letters-unfolding.html
hat tip boingboing.net
https://boingboing.net/2021/03/02/opening-an-intricately-folded-locked-letter-from-c-1700.html
Dots rotating around nested set of polygons
https://i.imgur.com/tWq3D7l.gifv
Joe Clinton models the tetra in an octa and a chiral transformation of the octahedron
https://vimeo.com/516885063
Editorial Comment: The tetra in octa model I published has inspired not only Joe Clinton but John Kostick and Tom Miller to do more work modelling and analyzing that structure. That inspired me to correct and update my published nets for all
25 Interrelations of the Platonic Solids (Updated)
http://geometrylinks.blogspot.com/2017/11/the-25-interrelations-of-platonic-solids.html
I’m currently working on modelling the relations between the 5 Platonics and both rhombic dodecahedra. If somebody knows of a model of the pentagonal dodeca and the regular icosa inscribed within either rhombic dodeca I would love to see it. Modelling the the tetra, cube, and icosa within either rhombic dodeca is interesting but fairly easy but I haven’t figured out the icosa and pentagonal dodeca inside the rhombic dodeca yet.
Tuesday, February 9, 2021
Geometry Links - February 9, 2021
Neumorphic knots
WOWCube Demonstration
https://youtu.be/6f_i3ujpwLk
hat tip core77
https://www.core77.com/posts/104425/Kid-Imagines-Rubiks-Cube-Made-From-Tiny-Screens-Dad-Invents-it
Highest resolution snowflake photos
https://www.smithsonianmag.com/innovation/these-are-highest-resolution-photos-ever-taken-snowflakes-180976710/
hat tip Azeem Azar
Graph paper 3-d illusion
https://youtu.be/ZbfMlNvKBOY
hat tip boingboing.net
Snowshoe Art
https://www.cbc.ca/news/canada/thunder-bay/schreiber-snow-art-snowshoe-1.5896921
hat tip Marjorie Farrell
Laser-cut geometric designs "exploring pattern language with mathematical and historical references through works in paper or wood"
http://www.ibbini.com
https://www.instagram.com/juliaibbini/
https://www.treehugger.com/geometric-patterned-laser-cut-vessel-forms-by-ibbini-studio-5101394
Felix Semper makes flexible paper sculptures
http://felixsemper.com/sculptures.html
vZome is a desktop app designed primarily for building virtual Zome models
https://vzome.com/home/
hat tip John Kostick
Frank Stella’s stars
https://thealdrich.org/exhibitions/frank-stellas-stars-a-survey
https://www.nytimes.com/2021/02/04/arts/design/frank-stella-aldrich-museum.html
MC Escher: Journey to Infinity
https://www.artnews.com/art-news/reviews/mc-escher-documentary-review-1234582697/
https://vimeo.com/ondemand/escherdoco
hat tip Victor Acevedo
Gary Doskas’ video series on spherical geometry - Gary’s models are beautiful and his work is deep
https://www.youtube.com/playlist?list=PLOqvAAXNHjIgQy7NQ5wQBeXYvOKU_4sZ7
The geometry of Pringles™ “potato" chips
https://melmagazine.com/en-us/story/mathematicians-pringles-chips-math
hat tip boingboing.net
Wednesday, January 27, 2021
Geometry Links - January 27, 2021
Starship Orb
https://galacticastrologyacademy.com/starship-orb/Editorial Comment: Beautiful models but the “cosmic” vibe may put some people off. You can ignore that and enjoy this detailed exploration of form. Fine work.
Projection mapping on a wooden sculpture
https://youtu.be/37q1Gyqnus4
5 Mystics who created Sacred Geometry Art
https://labyrinthos.co/blogs/learn-tarot-with-labyrinthos-academy/5-mystics-who-created-sacred-geometry-art
hat tip Linda Clave
Editorial Comment: see above, incidentally Carl Gustav Jung’s Red Book is available online at https://archive.org/details/RedBookByJung/page/n5/mode/2up
The structure of a “blue whirl” flame which burns all its fuel without producing soot
https://advances.sciencemag.org/content/6/33/eaba0827
Projection mapping the world’s oldest sundial
https://vimeo.com/497268061
Univ of Arkansas “courtyard curvahedra"
https://news.uark.edu/articles/55611/courtyard-curvahedra-to-be-installed-at-gearhart-hall
hat tip Vinay Gupta
Altered Insects - Steampunk insect art
https://www.etsy.com/shop/AlteredInsects
Andy Goldsworthy’s Ice and Show Ephermeral Sculptures
https://aesthesiamag.wordpress.com/2017/12/31/andy-goldsworthys-ice-and-snow-ephemeral-sculptures/
Editorial Comment: Two documentaries on Goldsworthy and his work:
Rivers and Tides
Leaning into the Wind
hat tip: Ben Pincus
Video kinetic sculpture with double feedback loops
https://vimeo.com/499428683
More videos and explanation at http://lightherder.blogspot.com
And an earlier reference here at https://geometrylinks.blogspot.com/2020/11/geometry-links-november-4-2020.html
Remembering Tony Longson, digital art pioneer
https://eztvmuseum.com/we-remember-tony-longson-r-i-p/
hat tip Victor Acevedo
Flatpack, non-deflatable soccer ball
http://www.nendo.jp/en/works/my-football-kit/
https://www.core77.com/posts/104333/Nendo-Designs-a-Flatpack-Non-Deflatable-Soccer-Ball-for-Developing-Nations
Editorial Comment: There is some sophisticated geometry in soccer balls. I remember a lecture at a Synergetics Symposium on different designs which respond to kicks without deforming unduly: https://journals.sagepub.com/doi/abs/10.1260/026635107782218822
50 hours to fold a samurai warrior from one sheet of paper
https://youtu.be/MtIf5WHTbns
hat tip Judy Rothstein (and boingboing.net)
Saturday, January 2, 2021
Geometry Links - January 2, 2020
Two from Ian Willey
Electric icosahedron tensegrityhttps://www.facebook.com/ian.willey/videos/10155601870342797
Folding flat-pack house model
https://www.dropbox.com/s/4vx7ga2diulmh47/Video%2009-12-2020%2C%209%2047%2023%20am.mov
Anthony Howe Fabricates a Kinetic Wind Sculpture
https://youtu.be/wQOBhFncU4k
More Anthony Howe videos
https://www.youtube.com/user/AnthonyAHowe/videos
hat tip boingboing.net
Jon Foreman’s environmental art
https://sculpttheworld.smugmug.com
https://www.facebook.com/SculptTheWorld/
https://www.instagram.com/sculpttheworld/
hat tip treehugger.com
Videos on Japanese joinery - including the “impossible joint"
https://www.openculture.com/?p=1084508
hat tip core77.com
Snowflake growth time lapse
https://vimeo.com/87342468
Snowflake macro photography
https://alexey-kljatov.pixels.com/blogs/2-snowflake-macro-photography.html
Stringed polyhedrons
https://www.instagram.com/artwork.e.v/
https://www.etsy.com/shop/Kevetsy
Making a wooden solar insolation visualization
https://youtu.be/PvcvY4ToFaQ
https://www.makingdatatangible.com/solar/ - program to help you make your own
https://pysolar.readthedocs.io/en/latest/ - a collection of Python libraries for simulating the irradiation of any point on earth by the sun
Insect microscopy
https://www.thisiscolossal.com/2016/10/insect-microscopy-igor-siwanowicz/
hat tip Linda Clave
Top 10 illusions of the year
http://illusionoftheyear.com/cat/top-10-finalists/2020/
The blanket octopus
https://youtu.be/OD6QHW_nMoQ
More at https://scroll.in/video/953086/watch-the-spectacular-female-blanket-octopus-was-seen-unfurling-its-stunning-fleshy-cape
hat tip Micah Daigle
New Year’s animation from Victor Acevedo
https://www.facebook.com/victor.acevedo.92102/videos/10159329848313258
Happy Merry New and Bah Humbug to all!
Wednesday, December 9, 2020
Geometry Links - December 9, 2020
Bees “shimmering"
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 athttp://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
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