#Tetrahedron

[fhtagn-and-tentacles]

SPAWN OF AZATHOTH

by Jakub Bazyluk

[talos-stims]

tetrahedron gears fidget toy | source

[art-of-mathematics]

Quick friend-shapes needed to be made.

(meaning: I was bored and needed to do something with my hands and brain.)

[best-shapes]

Regular-ish Convex Polyhedra Bracket — Round 3

Propaganda

Regular Tetrahedron:

Also called the Triangular Pyramid

Platonic Solid

Regular

Dual of the Regular Tetrahedron

It has 4 regular triangular faces, 6 edges, and 4 vertices.

Self-Dual

Image Credit: Cyp

Rhombic Triacontahedron:

Also called the Triacontahedron

Catalan Solid

Dual of a quasiregular polyhedron

Dual of the Icosidodecahedron

It has 30 rhombic faces, 62 edges, and 32 vertices of two types.

One of the 9 edge-transitive convex polyhedra along with the 5 Platonic Solids, the 2 Quasiregular Convex Polyhedra, and the Rhombic Dodecahedron.

Image Credit: Maxim Razin based on Cyp

[knotty-et-al]

A visual study of the Icosahedron inside an Octahedron - and the remaining tetrahedral modules

The tetrahedral modules:

Buckminster Fuller came up with these modules and called them "S modules" or "S quanta modules".

Here is a helpful summary:

[Source (PDF) | A Fuller Explanation: The Synergetic Geometry of R. Buckminster Fuller, 1987]

[stimboardboy]

tetrahedron gears fidget toy

[templeofthev01d]

©️ ᐯ丨丂丨ㄥㄩ乂 - 2024

[afaroffsong]

HIIIIII GUYS JUST POPPING BY TO DROP CHAPTER 11 BYEEEEE

[mindflixx]

WOW.

[venturama]

[wrong-directions]

Trans tetrahedron.

Proof of concept.

Would like to make one out of wood and make a paint dip jig to get the vertex coloring level.

Think I need to do some math first and color blue and pink based on equal area, instead of simply starting equidistant along the edges.

[art-of-mathematics]

Today's Tiny Tetrahedron

(artist of the colorful artwork in the background of the first photo is unknown)

[best-shapes]

Regular-ish Convex Polyhedra Bracket — Round 2

Propaganda

Regular Tetrahedron:

Also called the Triangular Pyramid

Platonic Solid

Regular

Dual of the Regular Tetrahedron

It has 4 regular triangular faces, 6 edges, and 4 vertices.

Self-Dual

Image Credit: Cyp

Pentagonal Icositetrahedron:

Also called the Pentagonal Icosikaitetrahedron

Catalan Solid

Dual of the Snub Cube

It has 24 irregular pentagonal faces, 60 edges, and 38 vertices of three types.

Chiral so it has two forms that are mirror images of each other.

Image Credit: Cyp

[knotty-et-al]

1st iteration of the Sierpinski Tetrahedron - with an octahedron at the center.

The octahedron serves as "core".

Attached to that octahedron core are 4 tetrahedra.

Modules used: 24

[ 12 for the octahedron, 4x3 for the 4 tetrahedral tips ]

If I attach 4 more tetrahedral tips - so that all faces of the octahedron are stellated - it would turn into a stellated octahedron/stella octangula.