Archimedes Plutonium

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:

circle

oval

ellipse

parabola

hyperbola

parallel line segments (cylinder)

intersecting line segments (two cones)

So we have 7 Cylinder Cone Sections

tetrahedron

cube

octahedron

dodecahedron

icosahedron

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.

AP

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:

circle

oval

ellipse

parabola

hyperbola

parallel line segments (cylinder)

intersecting line segments (two cones)

So we have 7 Cylinder Cone Sections

tetrahedron

cube

octahedron

dodecahedron

icosahedron

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.

AP