Lmst

@mrdk @unnick And here’s the rhombic triacontahedron for the dodecahedron/icosahedron (again without scaling the bars to have constant length).
#MathArt #geometry #animation #loop #geogebra #dodecahedron #icosahedron #3d

I couldn’t resist making this in Geogebra: morphing between a regular icosahedron and a regular dodecahedron.

h/t @unnick https://mathstodon.xyz/@unnick@booping.synth.download/114350750053349050

#MathArt #geometry #animation #loop #geogebra #icosahedron #dodecahedron #polyhedra #3d

@barefootstache
Don't forget to do the knobbly bits in the corners.
#icosahedron #Roman #maths #mystery
https://www.ancient-origins.net/artifacts-other-artifacts-news-unexplained-phenomena/enigma-roman-dodecahedra-002371

Still a work in progress, but I was inspired by Zachary Steinman's model (https://pixelfed.social/i/web/post/694621451435536476), and wanted to build my own.
#Lego #AFOL #scuplture #geometry #platonicsolid #icosahedron

The polyhedra I have been making are hollow. I thought I would experiment with putting lights inside of them. I designed a quick triangular key pattern for the latticework.

This uses a simple circuit made with a Chibitronics Circuit Sticker, a 1216 coin cell, some copper tape and, some washi tape.

#LaserCut #LaserCutter #Polyhedra #Polyhedron #Icosahedron #CelticArt #CelticDesign #KeyPattern #PaperElectronics

A small (~6cm / 2.25”) copper icosahedron with a key pattern cut into each face is lit from within by a yellow light. It sits on a dark green background.

Please enjoy pondering my icosa-orb.

This uses a simple circuit made with a Chibitronics Circuit Sticker, a 1216 coin cell, a reed switch and, a tiny piece of laser-cut plywood.

Process video coming soon!

#LaserCut #LaserCutter #Polyhedra #Polyhedron #Icosahedron #CelticArt #CelticDesign #KeyPattern #PaperElectronics

Mother of pearl icosahedron for my pearl of a mother on Mother’s Day!

#LaserCut #LaserCutter #Polyhedra #Polyhedron #Icosahedron #MotherOfPearl

A small (~6cm / 2.25”) icosahedron with mother of pearl veneer faces sits on a zebra wood reliquary (3-legged stand) against a mottled blue background.

Cork icosahedron. Displayed here on a zebrawood reliquary. I keep thinking of different materials for the polyhedra.

#LaserCut #LaserCutter #Polyhedra #Polyhedron #Icosahedron #Cork

A small (~6cm / 2.25”) icosahedron with cork-covered faces sits on a zebrawood reliquary (3-legged stand) against a crinkled green background.

Wow! Zachary Steinman is at it again.
https://www.instagram.com/steinmanzachary/
#Lego #AFOL #supercool #icosahedron #art #sculpture

A model of a truncated icosahedron made of Lego bricks

A few seconds of the engraved wooden icosahedron rotating.

#LaserCut #LaserCutter #Polyhedra #Polyhedron #Icosahedron #Celtic #CelticArt #CelticDesign #KnotWork #CelticKnot #DiceGoblin

I see a lot of icosahedra with numbers on the faces. I thought I would try engraving one of the wooden ones with those. I didn’t want it to be too plain. So, I made some knotwork to go around the numbers.

#LaserCut #LaserCutter #Polyhedra #Polyhedron #Icosahedron #Celtic #CelticArt #CelticDesign #KnotWork #CelticKnot #DiceGoblin

A small (~6cm / 2.25”) icosahedron whose wooden faces are engraved with a Celtic knot border surrounding numbers like a 20-sided die sits on an ornate 3-legged wooden stand.

A quick orbit around the icosahedron.

#LaserCut #LaserCutter #Polyhedra #Polyhedron #Icosahedron

It seems like people like icosahedra for some reason. I made an icosahedron with wood panels using the new technique. This is about 6cm (2.25 inches).

#LaserCut #LaserCutter #Polyhedra #Polyhedron #Icosahedron

A small (~6cm / 2.25”) icosahedron with a pale wood surface with subtle darker stripes forming a sort of angular spiral around one point.

Day 22 - Movable

how rigid we are

is infinitesimally

movable — a flex

on codepen: https://codepen.io/fractalkitty/pen/NWoWOQq/0bc5fe606b4eadd565e1dd6782cf30f0?editors=0010

I learned to use p5.geometry and got code for making model work here: https://www.paulwheeler.us/articles/custom-3d-geometry-in-p5js/

Jessen's icosahedron was created by using vertices in this file: https://commons.wikimedia.org/wiki/File:Jessen_icosahedron.stl

#mathober2023 #movable #jessen #icosahedron

jessen icosahedrons shaded with pink and purle nebulas floating in a larger one and in the configuration of each of the shape's vertices

https://youtube.com/watch?v=5HVK55hEtjk&si=-Iov-UeMUAmQaKAx

#d20 #amethyst #lapidary #stunning #icosahedron

@sudnadja

We had a thread at Matrix Games, about 15 years ago, while they were porting World in Flames. The topic was spherical projections.

I contributed by covering Fuller's Dymaxion map with hexes at 100 miles (160 km) per hex. It keeps all the land masses intact, no breaks, with minimal distortion, basically a contiguous map of the Earth.

Of course, Fuller would have vehemently opposed using his map for a wargame.

#Icosahedron #WiFCE #Fuller #MatrixGames

Dymaxion map of the Earth, divided into 100 mile (160 km) hexagons. The land masses are all contiguous with minimal distortion for a flat map.

@coreyspowell The Platonic solids were all understood by Greeks many centuries before this. Nothing mysterious here. #icosahedron #dodecahedron

#Dymaxion #Folding #Globe from #Areaware, before and after

https://www.areaware.com/products/dymaxion-folding-globe?variant=21946826244 (also available in black and white)

The story behind the #design: https://www.ravenhillstudio.com/story/dymaxion-globe

#BuckminsterFuller #Bucky #ShojiSadao #BrendanRavenhill #DymaxionProjection #RaleighProjection #map #cartography #Earth #planet #foldaform #icosahedron #polyhedron #geometry #geodesic

Assembled Dymaxion Folded Globe showing North and South America

Assembled Dymaxion Folded Globe showing Europe, Asia, and Africa

Assembled Dymaxion Folded Globe showing east Asia and Australia

For those of you who have regular tetrahedra-packing on your minds because of @johncarlosbaez’s post (https://mathstodon.xyz/@johncarlosbaez/109739769180023737), here is a reminder of how irritated I am that a regular #icosahedron cannot be constructed from 20 regular #tetrahedra.

For some reason, I occasionally feel the need to mention that again…and again…😁.

:icosahedron: #icosahedron

#icosahedron

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