Femisphere

The Femisphere has one side, two edges and four vertices. In  How to make  you can see that a Sphericon is made from a double cone. If you was to make a Femisphere in the same way, you would start with:

A Femishere will roll around a sphere (see below), covering all surface area in one revolution. We think that 5 spheres will fit around the Femisphere's surface at any one time. Eight Femispheres will roll around a sphere simultaneously (eight sphericons will roll around another sphericon also). The above drawing of a femisphere shows the faces as inverted quadrants of a circle.

An example to show its path could be:

Imagine the earth as a perfect sphere. The femisphere (with same radius as earth) starts pivoting at the North Pole, and sweeps an arc along the Equator from the Grenwich Longtitude Line to 180 degrees east (International Date line). This will include most of Europe, most of North Africa, all the Eur-Asian Mainland, and Japan. This is quarter of the surface of the Earth. It then pivots where 180 degrees east meets Equator, and sweeps an arc down 90 degrees west from North pole to South Pole, this includes North West America and most of Pacific. It then pivots on the South Pole and sweeps an arc along equator including the south of Africa and Australasia. It then pivots where Grenwich Meridian crosses the Equator and sweeps the Atlantic, North East America, and South America. It is now back where it started, and has covered all of the Earth's surface, and all of the Femisphere's surface. The Earth's surface area is greater than that of the Femisphere's, but the movement of the Femisphere should be imagined as an infinite number of positions.

If a femisphere is extended so that semi-circle elevation is now a rectangle, we have a module to build a lattice which could accomodate streams of moving spheres. These spheres would move by piviting on their circumference at all times, but they would have 2 choices of further progress every 90 degrees of travel. One choice of motion could be to continually roll around extended femisphere. Other choices are endless, but they would always be travelling in an ordered manner, as if along a pipe with numerous junctions at regulated intervals. Because of two choices every 90 degrees, they could be easily digitally regulated.