GMTRX 

Design Geometry Polyhedra

Polyhedra charts

Polyhedra sets

5 Platonic solids

In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex. There are only five such polyhedra: a tetrahedron (four faces), a cube (six faces), an octahedron (eight faces), a dodecahedron (twelve faces), and an icosahedron (twenty faces).

Geometers have studied the Platonic solids for thousands of years.[1] They are named for the ancient Greek philosopher Plato, who hypothesized in one of his dialogues, the Timaeus, that the classical elements were made of these regular solids.[2]

Gmtrx 45 mm concrete platonic solids in golden ratio 1.5 kg set 

Gmtrx platonic solids in golden ratio color coded layout

gmtrx skeletal Tetrahedron

gmtrx 180 MM TETRAHEDRON

Strar tetrahedron

gmtrx 432 mm Star tetrahedron

2 Hexahedron (Cube)

108 mm Hexahedron

216 mm gmtrx v2 skeletal cube

3 Octahedron

gmtrx white pla octahedron

gmtrx  concrete octahedron

gmtrx 270 mm skeletal octahedron

gmtrx  concrete octahedron

gmtrx  concrete octahedron

4. Icosahedron

144 mm gmtrx concrete Icosahedron shell

gmtrx 216 mm Icosahedron shell

gmtrx 432 mm concrete Icosahedron 16 mm shell

gmtrx 432 mm skeletal concrete Icosahedron 3

gmtrx 432 mm skeletal concrete icosahedron 4

5. Dodecahedron

18 mm gmtrx v1 skeletal dodecahedron

27 mm gmtrx PLA skeletal dodecahedron

36 mm gmtrx PLA skeletal Dodecahedron

gmtrx 108 mm white pla dodecahedron shell

108 mm gmtrx PLA dark grey dodecahedron 1.5 mm shell

Gmtrx 144 mm Lawal skeletal concrete Dodecahedron

Gmtrx 234 mm concrete dodecahedron shell

Gmtrx 234 mm concrete skeletal dodecahedron 

Gmtrx 255 mm v2 skeletal concrete dodecahedron

432 mm gmtrx 18 mm dodecahedron shell

720 mm v1 gmtrx skeletal Dodecahedron

gmtrx 720 mm v2 skeletal concrete Dodecahedron

gmtrx 720 mm dodecahedron 25 mm shell

gmtrx platonic solid sets

gmtrx 45 mm platonic solid set 

108 mm gmtrx platonic solid shell set

Nested Polyhedra

Nested platonic solids

Gmtrx geometron Nested skeletal platonic solids 1

Gmtrx geometron Nested skeletal platonic solids 2

Gmtrx House v1&2  nested skeletal platonic solids

gmtrx nested platonic solids investigation 1

13 Archimedean solids

The Archimedean solids are a set of thirteen convex polyhedra whose faces are regular polygons and are vertex-transitive, although they are not face-transitive. The solids were named after Archimedes, although he did not claim credit for them. They belong to the class of uniform polyhedra, the polyhedra with regular faces and symmetric vertices. Some Archimedean solids were portrayed in the works of artists and mathematicians during the Renaissance. 

1. Truncated tetrahedron

— Gmtrx 45 mm white pla Truncated tetrahedron shell

gmtrx 45 mm dark grey tetrahedron shell

2. Cuboctahedron 

gmtrx 45 mm white cuboctahedron

gmtrx 130 mm concrete cuboctahedron

gmtrx 216 mm cuboctahedron

gmtrx 432 mm concrete cuboctahedron  

3. Truncated cube

gmtrx 45 mm pla truncated cube

gmtrx 324 mm Truncated cube

gmtrx 432 mm concrete truncated cube 

Gmtrx 432 mm skeletal Truncated cube  

4 Truncated octahedron

5 Rhombicuboctahedron

gmtrx 432 mm skeletal concrete rhombicuboctahedron

6 Truncated cuboctahedron

Gmtrx 126 mm Lawal concrete Truncated cuboctahedron section

7 Snub cube

8 Icosidodecahedron

9 Truncated dodecahedron

gmtrx 144 mm pla Truncated dodecahedron 

gmtrx 432 mm truncated dodecahedron 

10  Truncated icosahedron

Gmtrx Truncated icosahedron (c60) sketchup png

Gmtrx aluminium Truncated icosahedron corona

11 Rhombicosidodecahedron

Gmtrx 45 mm Lawal Rhombicosidodecahedron 1.6 mm shell

gmtrx 432 mm concrete Rhombicosidodecahedron

12 Truncated icosidodecahedron

Gmtrx 45 mm Truncated icosidodecahedron 1.6 mm shell

13 Snub dodecahedron

Gmtrx 45 mm Lawal Snub dodecahedron 1.6 mm thk

Gmtrx 432 mm Lawal solid concrete Snub dodecahedron

Gmtrx 45 mm PLA  Archimedean solids 13 piece set

13 Catalan solids

The Catalan solids are the dual polyhedra of Archimedean solids. The Archimedean solids are thirteen highly-symmetric polyhedra with regular faces and symmetric vertices.[1] The faces of the Catalan solids correspond by duality to the vertices of Archimedean solids, and vice versa 

Triakis tetrahedron

Gmtrx 432 mm concrete Triakis tetrahedron

Rhombic dodecahedron

Gmtrx 108 mm concrete Rhombic dodecahedron

gmtrx 432 mm rhombic dodecahedron

Triakis octahedron

Tetrakis hexahedron

Deltoidal icositetrahedron

Disdyakis dodecahedron

Pentagonal icositetrahedron

Rhombic triacontahedron

Gmtrx 432 mm Lawal concrete Rhombic triacontahedron

Triakis icosahedron

Gmtrx 432 mm Lawal solid concrete Triakis Icosahedron

Pentakis dodecahedron

Gmtrx 432 mm solid concrete Pentakis dodecahedron

Deltoidal hexecontahedron

Disdyakis triacontahedron

Pentagonal hexecontahedron

Gmtrx 45 mm Pentagonal hexecontahedron 1.6 mm thk

Gmtrx 432 mm Catalan solid set

Johnson solids

Square based pyramid

Gmtrx Square based pyramid

Triangular cupola

Gmtrx Lawal Triangular cupola

Square cupola

Gmtrx  Square cupola

Gmtrx concrete Square cupola

pentagonal cupola

Elongated pentagonal cupola

Gmtrx concrete Elongated pentagonal cupola

Prisms 

Gmtrx 107 mm x 130 mm concrete Octagonal prism

Pyramids 

Gmtrx 107 mm x 130 mm concrete Octagonal prism

Frustum

Pentagonal frustum

Gmtrx 440 x 315 x 300 mm Lawal concrete Pentagonal frustum

Gmtrx 630 mm concrete Pentagonal frustum

Decagonal frustum

Gmtrx 380 mm concrete Decagonal frustum 

Gmtrx 630 mm concrete Decagonal frustum

Ovals

gmtrx 310 x 157 x 117 mm white concrete oval

gmtrx oval 2

gmtrx oval 3

gmtrx oval 4

gmtrx lawal solids and patterns

Gmtrx f110 Polyhedron

Gmtrx f110 Polyhedron matrix

Gmtrx 108 mm Lawal pla f110 matrix cube

Gmtrx f134 Polyhedron

Gmtrx Lawal Corona structures

gmtrx image archive

gmtrx redbubble

materialy advanced spititually inept