In my studies on Platonic solids in 1959 I restricted myself to the space-filling (packable) regular polyhedric cube (packable within itself) and the tetrahedron / octahedron (complementary packable), and developed a spatial grid making a three-dimensional arrangement of elements with the scale relationships of Ö1, Ö2 and Ö3 possible in all spatial directions.

Although, in 1960, I had already exhibited a combinatory model of the five Platonic solids (later called the Metaeder) with van de Loo ; by restricting myself to packable solids at that time, my search for j, i.e. the golden section, the "Divina Proportione", the Fibonacci numbers, the harmonic series, and a pentagonal symmetry, was still in vain. I let the problem lie at the time, although it remained a constant challenge to me throughout the years.

Around 1980, I constructed a man-high Metaeder as an object of meditation and calculation. It consisted of a cube (edge length = 1m) with the tetrahedron and octahedron contained within it as packable regular solids, and the dodecahedron and icosahedron as regular solids circumscribing it.

The cube with the intracubic Platonic solids covered the field of packability, the extracubic solids being non-packable, though determined by the golden section in a wide variety of ways.

The Metaeder contains all basic geometric forms of modern structural architecture:

Many structural discoveries in architecture were, more or less, made during the 1950's, a decade which we could call the incubation and blossoming period of the second (structural) modern architecture after the 1920's.

It is worthwhile to remember that the double helix (Watson and Crick 1953), quantum chemistry (Pauling) and structural anthropology (Lévi-Strauss 1958) were all discovered during this period.