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n-gons · @ngons

1310 followers · 1638 posts · Server mathstodon.xyz

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Dodecahedron - Tridiminshed Icosahedron spirals #3D #MathArt #MathsArt #Polyhedron #Hedron

#hedron #polyhedron #mathsart #mathart #3d

Last updated 1 year ago

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Non-Euclidean Dreamer · @noneuclideandreamer

342 followers · 441 posts · Server mathstodon.xyz

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The fog lifts, revealing the equatorial Icosidodecahedron

#mathart #codeart #mastoart #polyhedron

#polyhedron #mastoart #codeart #mathart

Last updated 1 year ago

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Mark Gardner ‍:sdf: · @mjgardner

573 followers · 2995 posts · Server social.sdf.org

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#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

#dymaxion #folding #globe #areaware #design #buckminsterfuller #bucky #shojisadao #brendanravenhill #dymaxionprojection #raleighprojection #map #cartography #earth #planet #foldaform #icosahedron #polyhedron #geometry #geodesic

Last updated 2 years ago

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Alun Kirby · @cyanotype

435 followers · 279 posts · Server zirk.us

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I posted how I'm struggling to fold some origami models of complex polyhedra.

I have an idea which involved folding them from tracing paper.

I've folded them before, using 200gsm watercolour paper.

When that paper is coated with cyanotype before folding, you can get a metamorphogram.

Here's John Montroll's 'Gamma Star' during exposure, and as a final image.

#origami #polyhedra #JohnMontroll #GammaStar #polyhedron #folding #FoldingPaper #cyanotype
#blueprint #metamorphogram #memory

#origami #polyhedra #johnmontroll #gammastar #polyhedron #folding #foldingpaper #cyanotype #blueprint #metamorphogram #memory

Last updated 2 years ago

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Alun Kirby · @cyanotype

434 followers · 272 posts · Server zirk.us

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Pattern and chaos.

Here's the crease pattern in paper for John Montroll's Dimpled Snub Cube.

And then there's the chaotic failed collapse of it into a 3D shape.

I've folded these before, and it's an interesting fight, wrestling a sheet of paper into form.

Practice makes polyhedra.

#origami #art #artfail #polyhedra #polyhedron #DimpledSnubCube #ArtFail #chaos #Pattern #creasePattern #fold #folding

#origami #art #artfail #polyhedra #polyhedron #dimpledsnubcube #chaos #pattern #creasepattern #fold #folding

Last updated 2 years ago

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Alun Kirby · @cyanotype

434 followers · 271 posts · Server zirk.us

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Sometimes things fail.

I've been trying to get back into origami practice with John Montroll's - 'A Constellation of Origami Polyhedra' (https://johnmontroll.com/books/a-constellation-of-origami-polyhedra/).

Using 75 cm squares of tracing paper made it harder - wrong paper for these models.

The crease patterns are beautiful - this is for a Sunken Cuboctohedron. But I've failed to fully fold them into 3D shape.

But it's OK. Sometimes things fail.

#origami #polyhedra #artfail #fail #cuboctohedron #polyhedron #folding #FoldingPaper

#origami #polyhedra #artfail #fail #cuboctohedron #polyhedron #folding #foldingpaper

Last updated 2 years ago

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Rich Holmes · @doctroid

329 followers · 828 posts · Server universeodon.com

@Enbybookwyrm Some of this is a matter of definitions. Strictly, an #icosahedron, or any #polyhedron, is a 3 dimensional figure and a "4-d icosahedron" is an oxymoron, like a "3-d square".

There are 4- and n-d analogs of polyhedra, called #polytopes. Instead of polygons meeting at vertices and enclosing a volume of 3-space, you have (in 4-d) polyhedra meeting at vertices and enclosing a volume of 4-space. You can argue one of these is analogous to an icosahedron, but only analogous.

#icosahedron #polyhedron #polytopes

Last updated 2 years ago

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