2017-08-06 10:37:36 UTC
With my latest proof on a conic section of oval, never an ellipse, and where the ellipse is a cylinder section, breathes new life in my unification program. Because the linchpin for the proof is to note the axes of symmetry.
So we have now a concept to work with for unification. Axes of symmetry in 2 Dimension and Planes of Symmetry in 3rd Dimension.
When we combine cylinder and cone as the Conic sections we obtain these figures:
parallel line segments (cylinder)
intersecting line segments (two cones)
So we have 7 Cylinder Cone Sections
rectangular solid (maybe parallelopiped)
two pyramids (from octahedron)
both have 7 categories.
Now let me sort them out as to degrees of symmetry. They have to match for a unification.
Some signals already are suggestive of correctness. The two line segments from 2 cones and the 2 pyramids from octahedron.
So, I have been waiting all this time to find the proper concept that links both groups together, and apparently it is symmetry.