Figures for "Taiji variations"

Cameron Browne

Figure 1. The modern taiji (left) and some variations (right).

Figure 2. Geometric construction of the figure.

Figure 3. The three-piece PC curve types: cardioid, fish, and arbelos.

Figure 4. Asymmetrical fish fitting (left) and a fractal design (right).

Figure 5. Rolling a circle to construct a fish.

Figure 6. Extruded polyspheres (left) and a stereo pair of a carved figure (right).

Figure 7. Simplified baseball curve from reflections and rotations of a single circular arc.

Figure 8. Parameterisation by separation angle * s*.

Figure 9. Simplified baseball stitching at 0, 15, 30 and 45 degrees of separation, with the unfolded surface patches for each design shown.

Figure 10. The standard taiji ball (* s* = 45) viewed from the optimal angle (left) and two less interesting angles.

Figure 11. The new tailed taiji ball (* s* = 0).

Figure 12. A rack of tailed taiji balls with fractal eyes.

Figure 13. A klein yang (left) and a false klein pair (right).