logical geometry

3D Aristotelian diagrams

On this page we :

introduce the rhombic dodecahedron (RDH) with its standard bitstring decoration
illustrate the embeddings of an cube and octahedron in RDH
illustrate the embeddings of different Aristotelian squares in RDH
illustrate the complementary embeddings of an Aristotelian hexagon and octagon in RDH

(The bitstring representation format is introduced here; more details can be found in Paper P7 and Paper P10.)

the rhombic dodecahedron (RDH)

rhombic dodecahedron bitstrings — the rhombic dodecahedron RDH with the standard bitstring decoration

embedding a cube and octahedron in RDH

cube inside RDH — the cube inside RDH

octahedron inside RDH — the octahedron inside RDH

embedding Aristotelian squares in RDH

balanced classical squares in RDH — 2 balanced classical squares inside RDH

unbalanced classical squares in RDH — 2 unbalanced classical squares inside RDH

balanced degenerated squares in RDH — 2 balanced degenerated squares inside RDH

embedding an Aristotelian hexagon and octagon in RDH

Jacoby-Sesmat-Blanché hexagon in RDH — Jacoby-Sesmat-Blanché hexagon inside RDH

complementarity between JSB and Buridan in RDH — complementarity between hexagon and rhombicube inside RDH

Buridan rhombicube in RDH — Buridan rhombicube/octagon inside RDH