Platonic Solids · 3D
Cube
{4,3} · Earth
Six squares, stable and grounded. Tilt it onto a corner and it becomes a hexagon: the cube hidden in Metatron’s Cube.
- Vertices
- 8
- Edges
- 12
- Faces
- 6
- Dihedral
- 90°
Turn it in your hands, strike it to hear the chord of its edges, slice it with a plane or lift it into four dimensions.
Facts
- Seen corner-on, its shadow is a regular hexagon with a “Y” inside.
- Its dual is the octahedron: centre of each face → a vertex.
- Two tetrahedra fit inside it, using alternate corners.
- It is the only Platonic solid that fills space by itself.
History and meaning
Plato gave the cube to earth, the most stable element. Squares sit firmly on any face.
Across the dimensions
- Cell of TesseractDrag the cube through the fourth direction: the tesseract. Squash W flat and the cube returns.
- Dual Octahedron
Learn it step by step
- Journey GenesisStep 7: The hidden cube
- Journey Into the Fourth DimensionStep 1: A square
- Journey FlatlandStep 1: A square that appears
- Journey Sound Made VisibleStep 5: Shapes that ring
- Journey The Archimedean FamilyStep 1: A cube and its shadow self