**The Metaeder contains:
**

**by definition, the five Platonic solids**

**all thirteen Archimedean solids**

**the Stella octangula and the star polyhedrons of Kepler**

**Kepler's 12 and 30-sided rhombohedron**

**all crystal lattices**

**all space structures (Bell, Wachsmann, Le Ricolais, Makowski and Fuller) with their different positions**

**many symbols and emblems such as the cross, pentagon, pentagram, Star of David, Cross of Saint Andrew and so on**

**prisms and anti-prisms**

**spiral surfaces**

**helix and double helix, cylinder, sphere and cone**

**the possible surface tilings by Kepler**

**the golden section**

**the golden rectangle and the golden triangle**

**the golden series and the Modulor by Le Corbusier**

**the Ö2-spiral and the harmonious f-spiral, spira mirabilis,**

**quasicrystals as non-periodic packing of 30-sided triacontahedrons**

**Penrose tiling as non-periodic, two-dimensional projection of quasicristals**

**geodesics by Fuller as the central projection of polyhedrons on a circumscribed sphere, and their frequencies**

**the fullerenes and the Buckminster fullerene**

**Fuller's Dymaxion Map as a projection of the global surface on the icosahedron or other polyhedrons**

**The positions and their different symmetries**

**Symmetric operations such as translation, reflection, rotation and so on**

**Chirality (handedness or right/left-phenomenon)**

**The universality of the Metaeder is the theoretical basis of structural architecture, inasmuch as it consists of equal, or similar or different, but coordinated elements. It contains the elementary cells of a structural architecture, it provides the sum of possibilities of regular space divisions.
**

**The Metaeder is an object of meditation, a spatial mandala; its laws, proportions and beauties are revealed only in the spatial model.
**