Uploaded December 2012 | Updated September 2026, 1 week ago
This lattice or surface is different from the Neovius surface, as that one has a cubic cell with a central chamber with 12 tunnels to the 12 edges of the cube, with each tunnel connecting to 3 neighboring units. This surface however, has a rhombic dodecahedron as a cell with a central chamber with 12 tunnels, one to each face of the rhombic dodecahedron. Each tunnel connects just to 1 neighboring unit. When observing at the space between the units, one can find both octahedral and tetrahedral chambers, octahedral chambers connected to tetrahedral chambers only and vise versa.
This lattice or surface is different from the Neovius surface, as that one has a cubic cell with a central chamber with 12 tunnels to the 12 edges of the cube, with each tunnel connecting to 3 neighboring units. This surface however, has a rhombic dodecahedron as a cell with a central chamber with 12 tunnels, one to each face of the rhombic dodecahedron. Each tunnel connects just to 1 neighboring unit. When observing at the space between the units, one can find both octahedral and tetrahedral chambers, octahedral chambers connected to tetrahedral chambers only and vise versa.






![Different polarity systems in 5x5- and 6x6-squares, magnets tutorial
This video shows that 5x5- and 6x6-squares can be made with different polarity systems. It is a video response to Dimitri Tishchenkos video [Tutorial] Squares where he attempts to make different 4x4-squares. With the string method I use to prove that two squares have a different polarity system, all possible constructions of a 4x4-square behave the same. This does not prove that they all have the same polarity system, but probably they do. Yet 5x5- and 6x6-squares CAN have different polarity systems as shown in my video.
The link to Dimitris video: https://www.youtube.com/watch?v=a_w6eORy4S4 Different polarity systems in 5x5- and 6x6-squares, magnets tutorial](https://i.ytimg.com/vi/kqpHKZYowWc/mqdefault.jpg)



