geolinks: 2017

Thursday, December 21, 2017

Geometry Links - December 21, 2017

true/false - algorithmic kinetic light artwork
https://vimeo.com/238066625
Fragments of RGB
https://vimeo.com/21234795
hat tip: boingboing.net

Peter Dahman paper engineer
https://peterdahmen.de
https://youtu.be/NdXvEXwOEHU
https://vimeo.com/98760774

Cassells' carpentry and joinery - "first written and illustrated in 1854, painstakingly details all of the joinery techniques--many of them forgotten,” free downloadable book
https://archive.org/details/cassellscarpentr00hasl
http://www.core77.com/posts/70349/Free-Downloadable-Book-on-Materials-Processes-Principles-and-Practice-Reveals-Forgotten-Joinery-Techniques

Visualization of Amazonian bird calls
https://vimeo.com/229927018

"Drawing from noise, and then making animated loopy GIFs from there"
https://necessarydisorder.wordpress.com/2017/11/15/drawing-from-noise-and-then-making-animated-loopy-gifs-from-there/

Geometric pies (πs?)
https://www.instagram.com/lokokitchen/
http://www.core77.com/posts/70952/Lauren-Kos-Incredibly-Designey-Pies

Reversible tent design for homeless
https://www.billionbricks.org
https://weatherhyde.org
https://inhabitat.com/reversible-weatherhyde-tent-saves-lives-in-extreme-weather/

Optical illusion
http://www.core77.com/posts/71024/New-Brain-Breaking-Optical-Illusion-These-Lines-are-All-the-Same-Shape

Diffusion Choir - a kinetic sculpture that uses 400 folding elements to reveal the movements of an invisible flock of birds
https://vimeo.com/187037469

Cristian Marianciuc folds and decorates a different origami crane every day, for over 1000 days
https://www.instagram.com/icarus.mid.air/
https://www.treehugger.com/culture/paper-crane-1000-days-cristian-marianciuc.html

Complexity in Nature albums
https://www.facebook.com/steve.lawrence.52/photos_albums

Max Bruckner’s collection of polyhedral models
http://publicdomainreview.org/collections/max-bruckners-collection-of-polyhedral-models-1900/
https://boingboing.net/2017/12/21/max-bruckners-polyhedral-mo.html

Saturday, November 25, 2017

The 25 Interrelations of the Platonic Solids

Once upon a time, back in the first years of the 1970s, I saw a page in Keith Critchlow's Order in Space that showed all 25 interrelations of the Platonic 5 Solids (tetrahedron, hexahedron or cube, octahedron, pentagonal dodecahedron, and icosahedron) and how they fit inside each other. Over the years, I built all 25.

I've also made magnetic models of some of these structures but not all of them and the nets are not all perfect but I did my best. A couple of times I've tried to send these nets to Critchlow but they were returned unopened. Oh well.

As with the Quanta Set that make up the Platonic Solids (http://geometrylinks.blogspot.com/2017/11/4-symmetrical-tetrahedra-of-5-platonic.html), I'd like see these built as class 2 tensegrities with spherical magnets at the vertices.

The following are the nets of the 28 different polyhedra that comprise the 25 Interrelations of the Platonic Solids.

Tetraset

HexaSet.1

HexaSet.2

Octaset

DodecaSet

IcosaSet.1

IcosaSet.2

Update: Originally, I transposed the tetra in dodeca net with the octa in dodeca net. The mistaken nets are below:

Thursday, November 16, 2017

4 Symmetrical Tetrahedra of 5 Platonic Solids

This is a video of a magnetic model of the Cube and the Tetrahedron broken down into its smallest symmetrical tetrahedra, what Buckminster Fuller called the A and B Quanta or mathematicians call Schläfli orthoschemes (I think).

The A and B Quanta make the equilateral triangle Tetrahedron (4 sided solid), square Cube or Hexahedron (6 sided), and equilateral triangle Octahedron (8 sided)

The A Quanta is 1/24th of a Tetrahedron, the smallest symmetrical tetrahedron to make up a Platonic solid. Here is the net of the A Quanta which can be folded to make the left and right hand versions, both of which are needed.

The B Quanta plus the A Quanta makes the Cube or Hexahedron
and the Octahedron,
two other Platonic solids
48 A Quanta + 24 B Quanta = 1 Cube
2 Cubes = 1 Octahedron

A third, the Dodeca Quanta, builds the Dodecahedron

120 Dodeca Quanta = 1 Dodecahedron

And a fourth,
120 Icosa Quanta = 1 Icosahedron

I've made magnetic models of the 5 Platonic solids with the magnets in the centers of the faces of the polyhedra. The A and B Quanta have the same volumes and I suspect share that volume at the same scale, all four tetrahedra share one common right angle triangle, but I haven't tested that hypothesis.

Since I saw this video, I think the next model should be a set of these Quanta built as class 2 tensegrities with ball magnets at the vertices. In fact, I'd commission someone to build it, for the right price.

Wednesday, November 1, 2017

Geometry Links - November 1, 2017

360º Book

https://youtu.be/jPea1Z1eQ6s

The Eyeballing Game

http://woodgears.ca/eyeball/index.html

Transforming paper sculptures (kami kara)

http://mymodernmet.com/karakuri-animal-puppets-haruki-nakamura/

http://kamikara.cart.fc2.com - shop

Visual math made with laser cutters

http://www.cherryarbordesign.com

http://www.cherryarbordesign.com/shop/

hat tip John Robb of Global Guerrillas

Don’t Fall for Babylonian Trigonometry Hype

https://blogs.scientificamerican.com/roots-of-unity/dont-fall-for-babylonian-trigonometry-hype/

Since I forwarded the hype, I now forward the rebuttal. Personally, I believe it’s turtles all the way down or, as the little old lady said, “If G*d had wanted us to fly, He wouldn’t have given us the railways.”

Fibonacci series animation

https://vimeo.com/9953368

3-D Printed Self-Folding Electronics

http://pubs.acs.org/doi/full/10.1021/acsami.7b10443

Victor Acevedo’s Instagram showing his geometric art

https://www.instagram.com/victoracevedo347/

Numericons - vector tiles for graphics, logos, patterns, and design, soon to be 10 sets of 100 tiles each

https://www.kickstarter.com/projects/markgonyea/numericons

http://markgonyea.net

Tensegrity

http://www.tensegriteit.nl

You can touch this tensegrity art

http://you-can-touch-this.blogspot.com

Tension Designs

http://www.tensiondesigns.com/tensionalities.html

Synergia - origami pavilion

https://exhibitcolumbus.org/exhibition/synergia

https://inhabitat.com/spectacular-origami-pavilion-made-of-recycled-plastic-pops-up-in-columbus-indiana/

Zenth - a 3D labyrinth

https://www.kickstarter.com/projects/truckee/zenth-a-3d-labyrinth-designed-for-relaxation/

Truth to Tools - from point and circle to try square, straightedge, dividers etc.

https://lostartpress.com/collections/books/products/from-truth-to-tools

https://lostartpress.files.wordpress.com/2017/09/t2t_sample2.pdf

John Hiigli (1943-2017) died 18 October 2017. A memorial service is being planned for November 11.

See John's Facebook page for details https://www.facebook.com/john.hiigli44
John's work at http://www.johnahiigli.com

Thursday, August 24, 2017

Geometry Links - August 24, 2017

Murmuration chandelier

https://vimeo.com/146618998

hat tip treehugger.com

Frederike Top’s geometric lights and constructions

http://www.frederiketop.nl

Calvin Siebert’s sand castles

https://www.flickr.com/photos/45648531@N00/sets/72157594166672630/

hat tip CBS Evening News (!)

2500 year old earthquake proofing

http://www.core77.com/posts/67922/These-Ingenious-2500-Year-Old-Chinese-Wood-Joints-Make-Buildings-Earthquake-Proof

https://youtu.be/ZmZXlDBN52A

Generative art by Hyperglu

https://hyperglu.com

The geometry of plant forms - fractals, Fibonacci series, and the sacrament of geometry

http://timewheel.net/image-25-stunning-photographs-of-sacred-geometry-and-fractals-in/

hat tip Marjorie Farrell

Mandala stones

https://www.instagram.com/mandalasf/

What’s a humbug?

https://youtu.be/1eIaYCX7UJE

Portable teahouse made from folded paper - I wonder what Rikyu, the great tea master, would have thought. He once built a teahouse out of gold for and with the Shogun.

http://www.k-a-d.jp/project_ShiAn.html

http://inhabitat.com/nomadic-teahouse-made-with-origami-embodies-japanese-minimalist-beauty/

Auxetic structures

https://youtu.be/dVge8FHcIbI

http://www.core77.com/projects/68480/This-Student-Merged-Science-and-Design-to-Produce-a-Joint-System-with-Endless-Opportunity

Star - lighting installation

http://planetaryfolklore.tumblr.com/post/164308942262/myampgoesto11-jun-ong-star-type-lighting

Monday, July 17, 2017

Geometry Links - July 17, 2017

Geometry of theory space - conformal field theory, amplituhedron, and bootstrap physics
https://www.quantamagazine.org/using-the-bootstrap-physicists-uncover-geometry-of-theory-space-20170223/
Amplituhedron
https://www.quantamagazine.org/physicists-discover-geometry-underlying-particle-physics-20130917

Best of Galaxies
https://twitter.com/BestGalaxyPics

Woodswimmer
https://vimeo.com/196683500

4D Monkey Dust
https://youtu.be/RhuaPhahHbU

Permutations of the 9 panel comic grid
https://math.stackexchange.com/questions/2287784/in-how-many-different-ways-can-a-9-panel-comic-grid-be-used

Eirik Brandal - interactive electronic sound sculptures
http://eirikbrandal.com
Composition #11
https://youtu.be/dKOnTziBtLM

Pufferfish geometers
https://youtu.be/ee3GIPoLe6c
hat tip Zann Gill
Editorial Comment: Are crop circles made by invisible, terrestrial or aerial pufferfish?

Hannu Huhtamo light art photography
http://www.hannuhuhtamo.com/light-art-photography/
https://www.facebook.com/HannuHuhtamoPhotography/

Detailed map of human brain “white matter"
http://www.bbc.com/news/health-40488545

Ten Fold Engineering
The Levers: https://youtu.be/RQi6gXZHyAc
Demonstrator Unit: https://vimeo.com/193884074

Bast Cat Furniture
https://www.instagram.com/bastcatfurniture/

Benefit reception and screening of film to preserve Falmouth, MA Fuller Dome
https://www.capenews.net/falmouth/news/plans-for-historic-dome-receive-outpouring-of-support/article_1a0ccca5-933c-5540-b8c7-6b7efad85322.html

The organization will hold a benefit reception and film screening on Saturday, August 5, to raise money for the project.

Ms. Nicole Goldman said that Mr. Fuller’s daughter, Allegra Fuller Snyder, who is nearly 90 years old, will be present at the event. Ms. Fuller Snyder is co-chairman and founder of the Buckminster Fuller Institute.

A cocktail reception will take place at the home of Catherine Cramer at 50 Buzzards Bay Avenue from 4 to 6 PM. A screening of “House of Tomorrow,” written and directed by Peter Livolsi, will take place at the WHOI Redfield Auditorium on Water Street at 7 PM. The screening will be followed by a question-and-answer period with Mr. Livolsi.

Tickets for the benefit reception cost $50 per person, and tickets for both the reception and film screening cost $75 per person. Those who attend the reception will receive preferred seating at the screening. Tickets for the film screening alone can be purchased through the Woods Hole Film Festival.

Those wishing to attend can make a reservation by e-mailing info@artdome.org or calling Ms. Goldman at 978-505-5978.

Tickets are available through Eventbrite.com, or checks payable to The Dome for Contemporary Arts c/o ArtsFalmouth may be mailed to PO Box 136, Falmouth, MA 02541.

Saturday, June 17, 2017

Geometry Links - June 17, 2017

Carbon fiber pavilion woven by robots and drones
https://www.treehugger.com/green-architecture/drone-robot-woven-carbon-fibre-pavilion-icd-itke-university-stuttgart.html
https://vimeo.com/icd/rp2016-2017

Abdelaziz Nait Merzouk tiles and honeycombs

https://plus.google.com/u/0/collection/sx-uME

John Baez geometry

https://plus.google.com/u/0/collection/UIQgaB

Collective Paper Aesthetics - cardboard and paper modular building systems

http://www.collectivepaperaesthetics.com

Josie Lewis geometric art

http://www.josielewis.com/store/

https://www.instagram.com/josielewisart/

Myoshka really likes Greek meander patterns

https://myoshka.jp

Image of magnetic “bridge” between galaxies

http://www.sciencealert.com/for-the-first-time-physicists-have-observed-the-giant-magnetic-bridget-that-connects-the-milky-way-to-other-galaxies

hat tip Leela Corman

Frederik Vanhoutte's generative graphics

https://vimeo.com/wblut

http://inspiration.wblut.com

Nanoscale cell image - the research is on lipids but the figures show a detailed look at cell structure

http://journals.plos.org/plosbiology/article?id=10.1371/journal.pbio.2002214

Organic geometry by José Bernabé

https://www.behance.net/gallery/30736667/Organic-Geometry

Birdland by George Hart

https://youtu.be/zYZ1_z7-4pg

World’s largest kaleidoscope - a rebuilt grain silo

http://emersonresort.com/worlds-largest-kaleidoscope/

https://youtu.be/U_TDbpwyHHA

John Edmark - spiraling patterns

https://www.wimp.com/meet-the-meticulous-man-making-never-ending-mathematical-patterns/

hat tip John Belt

Lyman Whitaker - wind sculptures

http://www.wifordgallery.com/store/sculpture-lyman-whitaker

Monday, May 1, 2017

Geometry Links - May 1, 2017

Business card Level 3 Menger Sponge at MIT and around the world

https://youtu.be/YpmP8OJJ7W4

Jeannine Moseley did a folding session on the Menger Sponge with the Philomorphs once upon a time

John Coltrane and Geometry

https://roelhollander.eu/en/blog-saxophone/Coltrane-Geometry/

https://roelhollander.eu/en/blog-saxophone/Coltrane-Tone-Circle/

http://www.openculture.com/2017/04/the-tone-circle-john-coltrane-drew-to-illustrate-the-theory-behind-his-most-famous-compositions-1967.html

hat tip to Steve Provizer

Camboo - bamboo pavilion for Phnom Penh

http://www.designboom.com/architecture/luca-poian-forms-camboo-pavilion-cambodia-04-01-2017/

http://www.lucapoianforms.com/?portfolios=camboo

Constructive Interference - static-kinetic sculpture

https://vimeo.com/186022053

Ornitographies by Xavi Bou

http://timewheel.net/amazing-chronophotographs-capture-patterns-birds-flight/

http://www.xavibou.com

NASA’s space fabric - 4D printing, they say

https://www.jpl.nasa.gov/news/news.php?feature=6816

Collatz Conjecture visualizations

https://youtu.be/LqKpkdRRLZw

https://youtu.be/5mFpVDpKX70

Nick Cave’s Until at MOCA

https://youtu.be/v8NaJPi463w

http://massmoca.org/event/nick-cave-until/
https://www.artsy.net/artist/nick-cave

Casey Curran’s kinetic sculptures

http://www.thisiscolossal.com/2017/04/blooming-kinetic-sculptures-built-with-wire-by-casey-curran/

https://vimeo.com/user1124672

Seeing Theory - a visual introduction to probability and statistics

http://students.brown.edu/seeing-theory/index.html

Buddy James visualizes the Dougherty Set

http://gallery.bridgesmathart.org/exhibitions/2017-bridges-conference/buddy-james

Hat tip to John Higli

The graphical language for the aliens in the film “Arrival”

https://www.wired.com/2016/11/arrivals-designers-crafted-mesmerizing-alien-alphabet/

Painting by Martine Bertrand upon which the language is based

http://www.martinebertrand-art.com/#oeuvres-rcentes-recent-works/2

Editorial Comment: The film is well worth seeing and the team designed about 100 symbols and a methodology to create more. Might be interesting to imagine such a language not only graphically but also sculpturally as well, a material speech.