Second: B = 8-way connection at dome zenith, 8 sided base
Third: C = turned 45 degrees for another 8-way connection at the zenith,
base with 12 sides
It is similar to the Octa-Dome, but has 2 sizes of right triangles instead
of 1, matched in opposite pairs.
These spherically projected polyhedra domes with only one or two sizes
of triangles, that are all right triangles, are ideal for covering with
triangle panels cut from standard sizes of rectangle sheet material. Working
with 90 degree angles makes it much easier, with less sawing to do. And
you still have a very strong geodesic dome structure.
Here is a wireframe of the semi-regular solid that this dome is named
for:
The Cube-Octa Dome also has a Simplified Version with less quantities
of parts and less roundness.