All models and representations of tristix are finite subsets of an infinite tristix arrangement. The geometry of tristix models can be efficiently designed in 2-dimensions, as each axis has a repeating pattern that lays on the body-centered cubic lattice.
Figure 107: Tristix grid.
To start designing tristix, patterns can be drawn on a triangular grid (figure 107). There are infinite possible designs that can be used to create a tristix model, but it is good to start with simple polygons before moving on to more complex designs (figure 102).
Figure 102: Tristix design in a grid.
Figure 108: Tristix template.
Figure 109: Tristix grid.
Figure 110: Tristix grid.
Tristix can be made with a different pattern on each axis, but this will cause the arrangement to have less symmetry. Not all of the possible patterns create stable tristix arrangements that hold themselves apart in each direction. Comparing patterns using paper templates can be a useful way to save time and materials, but is not usually necessary for simple tristix investigations.
Figure 111: Tristix paper templates.
Figure 112: Tristix
Moving along, in the next blog post we will dive even deeper into tristix geometry.
copyright 2022 Anduriel Widmark
1- Polystix blog introduction.
5- Polystix modeling materials.
9- Tetrastix shadow projections.
15- Hexastix design variations.
21- Tristix grids.