When Plato met Archimedes: Tetrahedrals Part 1

Here we venture into the introduction of our true tetrahedral series. I say true, because these layered tetrahedrals are what I call the true platonic tetrahedral twisty puzzles and not the pyraminx series!
To be a base platonic twisty puzzle, the criteria is:
1. A Platonic solid
2. A face turner
3. The base puzzle that all higher order versions of that solid are reduced to
4. All components contribute to the scramble and solve i.e, no trivial pieces

An Archimedean twisty puzzle is made by either truncated a platonic twisty puzzle giving two different polyhedral surfaces, with all faces being able to turn.
This truncation can either lead to a pure Archimedean solid:
3 layered (Jing's) tetrahedron -- Teraminx/pyraminx series or Dayan Gem 8 making a truncated tetrahedron
3x3 cube -- Rainbow cube plus making a cuboctahedron (also can be done by combining a hexahedron with an octahedron)
Face turning Octahedron -- Dayan Gem 3 making a truncated octahedron

Or can be fully truncated to another platonic solid:
3 layered tetrahedron -- Octahedron

In addition, platonic solid twisty puzzles have dual twisty puzzles:
Cube series -- corner turning octahedron series
Pyraminx/tetraminx series -- mass produced face turning octahedron

Can you think of any other examples?
Here we talk about the theory and principles, with the solves of the puzzles coming in subsequent parts. Enjoy!

Видео When Plato met Archimedes: Tetrahedrals Part 1 канала Superantoniovivaldi