Uploaded August 2012 | Updated September 2026, 2 weeks ago
At first sight it is hard to see the resemblance with the I-WP surface, that is because the focus here is on the inner side of the I-WP surface with a spherical chamber cell with 8 tunnel-connections to neighboring spherical chambers. The 4-pointed star sub unit I used to build the unit has been used before by Damian O'Connor (also name of his channel) and Dimitri (channel koozdra). When working on little stars I made it before but didn't use it at that time. So now it turned into a lattice, of which the unit fits inside a disphenoid (or isosceles tetrahedron). A disphenoid is a honeycomb, meaning it is space filling. In the tutorial part an alternative unit is shown with 4 holes. In the lattice, those holes are tunnels connecting units, the holes are located on the surface of the disphenoid cell. (a cell here is a honeycomb, like a cube or rhombic dodecahedron, with a unit inside, that tessellates space, forming a lattice) See also 'disphenoid' and 'honeycomb' in Wikipedia. For more about disphenoid surfaces: see Ken Brakke's page on this subject: http://www.susqu.edu/brakke/evolver/examples/periodic/disphenoids.html
At first sight it is hard to see the resemblance with the I-WP surface, that is because the focus here is on the inner side of the I-WP surface with a spherical chamber cell with 8 tunnel-connections to neighboring spherical chambers. The 4-pointed star sub unit I used to build the unit has been used before by Damian O'Connor (also name of his channel) and Dimitri (channel koozdra). When working on little stars I made it before but didn't use it at that time. So now it turned into a lattice, of which the unit fits inside a disphenoid (or isosceles tetrahedron). A disphenoid is a honeycomb, meaning it is space filling. In the tutorial part an alternative unit is shown with 4 holes. In the lattice, those holes are tunnels connecting units, the holes are located on the surface of the disphenoid cell. (a cell here is a honeycomb, like a cube or rhombic dodecahedron, with a unit inside, that tessellates space, forming a lattice) See also 'disphenoid' and 'honeycomb' in Wikipedia. For more about disphenoid surfaces: see Ken Brakke's page on this subject: http://www.susqu.edu/brakke/evolver/examples/periodic/disphenoids.html