The Metaeder is not spatially symmetric, such as a sphere with an infinite number of symmetrical planes, but exhibits four primary positions whose parallel projections show typical patterns on a plane surface.

I have termed these the a-, b-, g- and d-positions.

For example, a cube stands on its face in a, on its vertex in b, and on its edge in in g; an icosahedron is on an edge in a, on a face in b, and on a vertex in d.

We find an analogy in the radiographic structure analysis of crystals, where X-rays of the same crystal taken from different angles to its structure reveal different patterns.

The different positions of structures are not to be joined systematically, buildings for example are discontinuous in different positions.