Uploaded October 2012 | Updated September 2026, 2 weeks ago
When I observed that each face on each tetrahedron in the Mystical lattice (previous 2 uploads) faces another tetrahedron-face, I decided to make that lattice with octahedra and make extra connections by adding tunnels between octahedra at distance 3 from each other. Distance 3 means that you need to pass 2 other octahedra when 'walking' between 2 octahedra with distance 3. Due to the new connections, you get long strings of connected octahedra, each string has neighboring strings, neighboring strings again are connected with each other similar to the connections between the helices in DNA.
When I observed that each face on each tetrahedron in the Mystical lattice (previous 2 uploads) faces another tetrahedron-face, I decided to make that lattice with octahedra and make extra connections by adding tunnels between octahedra at distance 3 from each other. Distance 3 means that you need to pass 2 other octahedra when 'walking' between 2 octahedra with distance 3. Due to the new connections, you get long strings of connected octahedra, each string has neighboring strings, neighboring strings again are connected with each other similar to the connections between the helices in DNA.
