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 #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
For those of you who have regular tetrahedra-packing on your minds, 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…😁.
@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
What’s your favourite #polygon and/or #polyhedron? I ask because I just realized how much #hexagons make me happy. They tesselate!
Close second is #icosahedron because I am a #DnD player.
#dnd #icosahedron #hexagons #Polyhedron #polygon
@valhund I am reminded of a young Bucky Fuller (who did not yet have much-needed glasses yet) being sent from the primary school exercise with peas and toothpicks to the principal's office with his first ##icosahedron (other kids were building "normal" wobbly cubes). I like your triangles sculpture!
All edge lengths are the same. And nothing ist round here.
#Hedron #Polyhedron #Prism #Icosahedron #Animation #PerfectLoop #Math #Geometry #3D #Solid #Topology #Crystal
#crystal #topology #solid #3d #geometry #math #perfectloop #animation #icosahedron #prism #polyhedron #hedron
Today a made this from regular triangles, squares, regular pentagons and ⁷⁄₃₀ rhombs.
#Hedron #Polyhedron #Prism #Icosahedron #Animation #PerfectLoop #Math #Geometry #3D
#3d #geometry #math #perfectloop #animation #icosahedron #prism #polyhedron #hedron
Here is the rad icos, it seems related to rad dodo in this weird way https://mathstodon.xyz/@HypercubicPeg/109388379669082143
#icosahedron #mathart #3Dart #opticalillusions #symmetry #radial #circles #geometricart #polyhedra #geometry #art #geometric #mathsart #moirePattern
#moirepattern #mathsart #geometric #art #geometry #polyhedra #geometricart #circles #radial #symmetry #opticalillusions #3dart #mathart #icosahedron
I think is true...it is something that I stumbled upon about 5 years ago while constructing these things https://mathstodon.xyz/@HypercubicPeg/109370268881128440.
What do you think @panlepan?
#geometry #icosahedron #dodecahedron #polyhedra #mathart #mathsart #symmetry #radial #circles #circumcircle #mathConjecture
#mathconjecture #circumcircle #circles #radial #symmetry #mathsart #mathart #polyhedra #dodecahedron #icosahedron #geometry
Theories about the use of a Roman #dodecahedron #icosahedron
The theory about them being a device for studying coins is interesting.
I'd say, different holes for measuring something? Spaghetti? 🍝
https://www.historydefined.net/what-was-the-purpose-of-a-roman-dodecahedron/
So, what's _your_ favourite type of #GeodesicDome? 🔺
(Hashtag breadcrumbs... #Geodesic #Dome #Icosahedron #Octahedron #Rhombicuboctahedron)
#geodesicdome #geodesic #dome #icosahedron #octahedron #Rhombicuboctahedron
Seriously thinking of just using the local timeline on #hachyderm as my tech news feed. It’s all the best peeps lol. I’ve got an account there but my main is #icosahedron.
Something I made that is possibly older than some of you, but I don’t think that it is as old as my first computer.
#icosahedron #polyhedron #mathsart #mathart
2,400 LED Icosahedron: a Super Cool Hardware Project https://gregdavill.com/blog/d20 #icosahedron #shape #led #panel #triangles #unique #hardware
#icosahedron #shape #led #panel #triangles #unique #hardware
particle...
#particle #blues #purple #dots #d20 #rotation #icosahedron #animatedgif
#particle #blues #purple #dots #d20 #rotation #icosahedron #animatedgif