Platonic shapes

Platonic 3d shapes. Platon geometry abstract solid icons isolated on white background, vector illustration. Download a free preview or high-quality Adobe Illustrator (ai), EPS, PDF, SVG vectors and high-res JPEG and PNG images.

Illustration about Five platonic solids plus nets and names. Isolated vector illustration over black background. Illustration of geometric, design, abstract - 50713618

The complete icosahedron, with irregular faces, was first studied in 1900 by Max Bruckner. He extended the stellation theory beyond regular forms, and identified ten stellations of the icosahedron, including the complete stellation.

There are 13 Archimedean solids. Each is a special type of polyhedron, a geometric solid whose faces are each flat polygons. An Archimedean solid has faces of at least two types of regular polygons (polygons with sides of equal length). For instance, a cuboctahedron has 14 faces—eight triangles and six squares. An icosidodecahedron has 32 faces—20 triangles and 12 pentagons. In an Archimedean solid, the faces are arranged so that the corners are all alike.

Mathematicians of University of California in Los Angeles were inspired by polyhedra structures in the human eye and came up with a mathematical explanation for the shapes.

Holy Crap. These are crystal forms from Mineralogy... dodecahedrons, octohedrons, tetrahedrons... these are SO complicated!

The Platonic Solids These five Platonic solids are ideal, primal models of crystal patterns that occur throughout the world of minerals in countless variations. These are the only five regular polyhedra, that is, the only five solids made from the same equilateral, equiangular polygons. They are geometrical forms which are said to act as a template from which all life springs. The aesthetic beauty and symmetry of the Platonic solids have made them a favorite subject of geometers for…