Playing around with an office magnet toy and made a shape I think is fun. It's right pentagonal prism with two of the prism edges removed. So we end up with a shape that's got two pentagons, one rectangle, and a two skew hexagons. (Or, the pentagons can be skew too, or the two hexagons can be plane I think though that is not actually feasible with the magnet toy.)

Its Euler characteristic is 10 - 13 + 5 = 2, just like a real polyhedron. :)

#MagnetToys #Polyhedra

The neighbor kid three doors down won a national science fair. With work that is truly incredible.

https://www.centredaily.com/news/local/education/article314998319.html

#math #geometry #polyhedra

The thirteen archimedean solids are the polyhedra (other than the five regular solids) all the faces of which are regular polygons and where for each pair of vertices some symmetry transformation carries one vertex to the other (see 1st attached image).

According to Pappus (fl. c.300–c.350 CE), who wrote a half-millennium later, Archimedes discovered them. The context of Pappus' report suggests that Archimedes was seeking polyhedra inscribable in spheres.

Archimedes excluded the infinite classes of prisms and anti-prisms, in which two n-gons are joined by squares or equilateral triangles (2nd attached image). Although they satisfy the definition, and are technically inscribable in spheres, they are somehow not ‘sphere-like’.

This suggests that Archimedes may have been influenced by the aesthetic preference for circles and spheres that descended from Pythagoras.

1/3

#ArchimedeanSolids #RegularSolids #polyhedra #Archimedes #Pappus #HistMath

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

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

Illustration by Max Brückner, from Vielecke und Vielflache: Theorie und Geschichte (1900).

Source: University of Toronto Libraries / Internet Archive

https://pdimagearchive.org/images/b507c4c1-b707-4bfb-8686-233de0340dfa

#mathematics #models #polyhedra #geometry #sculpture #art #publicdomain

Given that I am still re-reading the first page of this book for like the tenth time, I have doubts about “we can simply say”

#math #polyhedra #tron