#polyhedron — Public Fediverse posts

Pure #CSS #3D chamfering sequence on @codepen cube → chamfered cube → rhombic dodecahedron and back

https://codepen.io/thebabydino/pen/rNdjLdq

Chamfer? WTF is that?

Well, check out the Pen description https://codepen.io/thebabydino/details/rNdjLdq and this page https://en.wikipedia.org/wiki/Chamfer_(geometry)

#Maths #geometry #css3D #transform #chamfer #polyhedron #polyhedra #cube #rhombicDodecahedron #code #coding #web #dev #webDev #webDevelopment

Pure #CSS #3D chamfering sequence on @codepen cube → chamfered cube → rhombic dodecahedron and back

https://codepen.io/thebabydino/pen/rNdjLdq

Chamfer? WTF is that?

Well, check out the Pen description https://codepen.io/thebabydino/details/rNdjLdq and this page https://en.wikipedia.org/wiki/Chamfer_(geometry)

#Maths #geometry #css3D #transform #chamfer #polyhedron #polyhedra #cube #rhombicDodecahedron #code #coding #web #dev #webDev #webDevelopment

Pure #CSS #3D chamfering sequence on @codepen cube → chamfered cube → rhombic dodecahedron and back

https://codepen.io/thebabydino/pen/rNdjLdq

Chamfer? WTF is that?

Well, check out the Pen description https://codepen.io/thebabydino/details/rNdjLdq and this page https://en.wikipedia.org/wiki/Chamfer_(geometry)

#Maths #geometry #css3D #transform #chamfer #polyhedron #polyhedra #cube #rhombicDodecahedron #code #coding #web #dev #webDev #webDevelopment

Pure #CSS #3D chamfering sequence on @codepen cube → chamfered cube → rhombic dodecahedron and back

https://codepen.io/thebabydino/pen/rNdjLdq

Chamfer? WTF is that?

Well, check out the Pen description https://codepen.io/thebabydino/details/rNdjLdq and this page https://en.wikipedia.org/wiki/Chamfer_(geometry)

#Maths #geometry #css3D #transform #chamfer #polyhedron #polyhedra #cube #rhombicDodecahedron #code #coding #web #dev #webDev #webDevelopment

Pure #CSS #3D demo on @codepen: polyhedra morphing sequence https://codepen.io/thebabydino/pen/abmNveW

Absolutely no magic numbers, everything computed.

See Pen description for the how behind 😼

#transform #cssTransform #polyhedron #cssTransforms #polyhedra #octahedron #tetrahedron #cube #Maths #geometry #cssVariables #code #coding #frontend #web #dev #webDev #webDevelopment

Pure #CSS #3D demo on @codepen: polyhedra morphing sequence https://codepen.io/thebabydino/pen/abmNveW

Absolutely no magic numbers, everything computed.

See Pen description for the how behind 😼

#transform #cssTransform #polyhedron #cssTransforms #polyhedra #octahedron #tetrahedron #cube #Maths #geometry #cssVariables #code #coding #frontend #web #dev #webDev #webDevelopment

Pure #CSS #3D demo on @codepen: polyhedra morphing sequence https://codepen.io/thebabydino/pen/abmNveW

Absolutely no magic numbers, everything computed.

See Pen description for the how behind 😼

#transform #cssTransform #polyhedron #cssTransforms #polyhedra #octahedron #tetrahedron #cube #Maths #geometry #cssVariables #code #coding #frontend #web #dev #webDev #webDevelopment

Pure #CSS #3D demo on @codepen: polyhedra morphing sequence https://codepen.io/thebabydino/pen/abmNveW

Absolutely no magic numbers, everything computed.

See Pen description for the how behind 😼

#transform #cssTransform #polyhedron #cssTransforms #polyhedra #octahedron #tetrahedron #cube #Maths #geometry #cssVariables #code #coding #frontend #web #dev #webDev #webDevelopment

Pure #CSS #3D demo on @codepen: polyhedra morphing sequence https://codepen.io/thebabydino/pen/abmNveW

Absolutely no magic numbers, everything computed.

See Pen description for the how behind 😼

#transform #cssTransform #polyhedron #cssTransforms #polyhedra #octahedron #tetrahedron #cube #Maths #geometry #cssVariables #code #coding #frontend #web #dev #webDev #webDevelopment

Exploding triakis octahedron (short pyramids added on top of the faces) turning into an excavated octahedron (short pyramids dug into the faces) with pure #CSS #3D - live on @codepen: https://codepen.io/thebabydino/pen/DyrNrL

#Maths #geometry #polyhedra #css3D #cssTransform #cssTransforms #coding #code #transform #frontend #cssMaths #Sass #web #dev #webDevelopment #webDev #trigonometry #polyhedron #octahedron

Exploding triakis octahedron (short pyramids added on top of the faces) turning into an excavated octahedron (short pyramids dug into the faces) with pure #CSS #3D - live on @codepen: https://codepen.io/thebabydino/pen/DyrNrL

#Maths #geometry #polyhedra #css3D #cssTransform #cssTransforms #coding #code #transform #frontend #cssMaths #Sass #web #dev #webDevelopment #webDev #trigonometry #polyhedron #octahedron

Exploding triakis octahedron (short pyramids added on top of the faces) turning into an excavated octahedron (short pyramids dug into the faces) with pure #CSS #3D - live on @codepen: https://codepen.io/thebabydino/pen/DyrNrL

#Maths #geometry #polyhedra #css3D #cssTransform #cssTransforms #coding #code #transform #frontend #cssMaths #Sass #web #dev #webDevelopment #webDev #trigonometry #polyhedron #octahedron

Exploding triakis octahedron (short pyramids added on top of the faces) turning into an excavated octahedron (short pyramids dug into the faces) with pure #CSS #3D - live on @codepen: https://codepen.io/thebabydino/pen/DyrNrL

#Maths #geometry #polyhedra #css3D #cssTransform #cssTransforms #coding #code #transform #frontend #cssMaths #Sass #web #dev #webDevelopment #webDev #trigonometry #polyhedron #octahedron

Exploding triakis octahedron (short pyramids added on top of the faces) turning into an excavated octahedron (short pyramids dug into the faces) with pure #CSS #3D - live on @codepen: https://codepen.io/thebabydino/pen/DyrNrL

#Maths #geometry #polyhedra #css3D #cssTransform #cssTransforms #coding #code #transform #frontend #cssMaths #Sass #web #dev #webDevelopment #webDev #trigonometry #polyhedron #octahedron

One of my earliest #CSS #3D demos on @codepen: how to (de)construct a dodecahedron https://codepen.io/thebabydino/pen/ALQVQe

A dodecahedron is one of the 5 regular polyhedra = made up of only identical regular polygon faces. Regular polygons have all edge lengths and vertex angles equal.

#geometry #Maths #code #coding #css3D #cssTransforms #transform #frontend #polyhedron #polyhedra #PlatonicSolid #dodecahedron #cssAnimation #web #dev #webDev #webDevelopment #trigonometry #Sass #SCSS

One of my earliest #CSS #3D demos on @codepen: how to (de)construct a dodecahedron https://codepen.io/thebabydino/pen/ALQVQe

A dodecahedron is one of the 5 regular polyhedra = made up of only identical regular polygon faces. Regular polygons have all edge lengths and vertex angles equal.

#geometry #Maths #code #coding #css3D #cssTransforms #transform #frontend #polyhedron #polyhedra #PlatonicSolid #dodecahedron #cssAnimation #web #dev #webDev #webDevelopment #trigonometry #Sass #SCSS

One of my earliest #CSS #3D demos on @codepen: how to (de)construct a dodecahedron https://codepen.io/thebabydino/pen/ALQVQe

A dodecahedron is one of the 5 regular polyhedra = made up of only identical regular polygon faces. Regular polygons have all edge lengths and vertex angles equal.

#geometry #Maths #code #coding #css3D #cssTransforms #transform #frontend #polyhedron #polyhedra #PlatonicSolid #dodecahedron #cssAnimation #web #dev #webDev #webDevelopment #trigonometry #Sass #SCSS

One of my earliest #CSS #3D demos on @codepen: how to (de)construct a dodecahedron https://codepen.io/thebabydino/pen/ALQVQe

A dodecahedron is one of the 5 regular polyhedra = made up of only identical regular polygon faces. Regular polygons have all edge lengths and vertex angles equal.

#geometry #Maths #code #coding #css3D #cssTransforms #transform #frontend #polyhedron #polyhedra #PlatonicSolid #dodecahedron #cssAnimation #web #dev #webDev #webDevelopment #trigonometry #Sass #SCSS

@narain Still trying to find 300 faces first. Playing with Hedron App @hedron , 53 regular octahedra join to make a shape with 300 faces.

Still trying to make something better...

#mathematics #geometry #polyhedron #geodesic #tiling

@obot50549535
Apparently the compound of ten tetrahedra has 300 edges (when counted as non-intersecting).

Also, some octahedral geodesic polyhedra and Goldberg polyhedra have 300 edges: u5O and c5C at https://en.wikipedia.org/wiki/List_of_geodesic_polyhedra_and_Goldberg_polyhedra#Octahedral

Nice, but still looking for 300 faces (or vertices)...

#askfedi #mathematics #geometry #iTeachMath #polyhedron #geodesic

A ring of five cubes cut and joined in Geogebra.

You can see the approximation’s fault on the right. With paper models, the error is less noticeable.

The dodecahedral version with 30 cubes is harder to model as Craig Kaplan has noted: "because you can let the laws of physics absorb and distribute the mathematical error inherent in the [physical] construction. To build a computer model, you must make explicit decisions about where that error should go. For example, the faces could be made slightly irregular, or slightly non-planar." https://isohedral.ca/a-molecular-near-miss

h/t Dave Mitchell (modular origami Columbus Cube, Ring of Cubes and Ball of Cubes http://www.origamiheaven.com/pdfs/columbus.pdf)

edit: add link to origami instruction

#mathtober #mathtober3 #polyhedron #cube #design #geometry #MathArt #geogebra #origami

A modular origami cube and a stella octangula. Each uses different units.

The stella octangula is a stellated regular octahedron and also the compound of two regular tetrahedra. It fits neatly inside a cube. https://en.wikipedia.org/wiki/Stellated_octahedron

From the exhibition "‘A Wonderful World, organised by the Embassy of Japan in Việt Nam and the Việt Nam Origami Group (VOG)’ … [showing works by] Mitya Miller, Nicolas Terry, and Tung Ken Lam, alongside new creations from VOG unveiled especially for the exhibition. … The exhibition runs until October 10 on the 4th floor, Gate C, at the Embassy of Japan, 27 Liễu Giai Street, with free admission." https://vietnamnews.vn/life-style/1726153/folding-fun-as-origami-art-springs-to-life.html

Image courtesy of VOG

#mathtober #polyhedron #origami #design #craft #Papercraft #photography #geometry #design #MathArt #ArtistOnMastodon #ArtistsOnMastodon #artwork #art #artist #arts #arte #designer #MastoArt #FediArt #CreativeToots #MathsArt #vietnam #exhibition #hanoi

It's late and I spent some time to do the estimation experiment (https://mastodon.de/@gwenbeads@mathstodon.xyz/115312008857653097 - I actually came to 5 cups but I chose to say 'D12' from the beginning...)

So this has to do as my contribution for #mathober day 3: #polyhedron

#mathtober #genart #CreativeCoding #Processing #loop

The #Mathober day 3 prompt is ‘#Polyhedron’. I have no art to offer, but I thought I would use the occasion to draw attention to a lesser-known role of polyhedra in Johannes Kepler's (1571–1630) thought.

Start with the famous part: Kepler argued that the five regular (or Platonic) solids fitted between the orbs of the then-known six planets [https://commons.wikimedia.org/wiki/File:Kepler-solar-system-1.png].

When Galileo discovered four moons of Jupiter, Kepler sought a similar polyhedral structure for the Jovian system, and suggested that ‘semiregular’ solids provided the key. ‘Semiregular’ for Kepler meant that the polyhedra had rhombic faces and satisfied certain technical criteria. (The concept differs from today's notion of semiregular polyhedra.)

There were exactly three such ‘semiregular’ polyhedra:

• the cube (the square being a special kind of rhombus).

• the rhombic dodecahedron (12 faces; diagram attached).

• the rhombic triacontahedron (30 faces; diagram attached).

Kepler placed the rhombic dodecahedron between Io and Europa, the rhombic triacontahedron between Europa and Ganymede, and the cube between Ganymede and Callisto.

Kepler thought that there were six planets because God had shaped the cosmos around the five platonic solids. The three ‘semiregular’ solids would similarly explain why there were four moons of Jupiter.

Perhaps someone who is a better artist than I am could draw a diagram of the three rhombic solids and the orbs of the four Galilean moons in the style of Kepler's famous diagram of the Platonic solids between the orbs of the planets.

#Mathober2025 #HistMath #HistSci

🎉 Breaking news from the math world: someone found a #polyhedron that doesn't care about Rupert's property! 🔍🤓 Apparently, this is so #groundbreaking that it required an entire #research paper, because who doesn't love a good polyhedron drama? 🙃🧮
https://arxiv.org/abs/2508.18475 #mathnews #RupertProperty #mathdrama #HackerNews #ngated

Zero expansion materials have the interesting property that as they heat up, their crystal structure changes, without changing volume. #Huygens #origami (bistable) #polyhedron

Perfect fit.

#Hedron #Geometry #MathArt #3D #PolyHedron

Fun with chiral shapes - cube from snub cubes.

#MathArt #Geometry #3D #Polyhedron #Hedron

I've finally managed to put my entire "geodesic series" of himmelis side by side, thanks @noira_musti for the suggestion. The edge counts are 6, 12, 30, 36, 42, 48, 84, 90, 120, and 210.

#himmeli #puzuri #strawart #geodesicseries #geodesichimmeli #geodesicpolyhedron #polyhedron #geometricart #algorithmicart #algorist #mathart #laskutaide

Next project, a Tetragonal Deltohedron LED polyhedron.

It seems If you are making Art PCBs eventually you make the LED Cube style project.

101 Addressable LEDs per side, 8 sides. running off a XIAO ESP32, Lipo battery inside...

Same shape as my stained glass version https://blog.abluestar.com/projects/2019-illuminated-stained-glass-tetragonal-trapezohedron/

Same methods as the Dodecahedron PCB https://blog.abluestar.com/dodecahedron-pcb-retrospective/

#LED #LEDArt #PCB #PCBArt #LEDCube #kicad #polyhedron #MathArt #XIAO #ESP32 #FastLED

Dodecahedral bouquet of flowers for your Sunday enjoyment.

265 equilateral polyhedra tiled face to face.

#Hedron #Flower #3D #MathArt #MathsArt #Polyhedron #Tiling #Loop

I don't know if there's a simpler name for this #polyhedron than "a quasi-convex Stewart #toroid of genus 11 whose convex hull is the truncated icosidodecahedron."

Either way, I love this shape, so I had to make one.

#papercraft #math #polyhedra

#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

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

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

An equilateral tetracontadihedron made from squares, triangles and rhombs.
#Hedron #Math #Geometry #STEM #perfectloop #3D #Polyhedron #triangle #square #rhombus