Say-awen 21-fold

• Finite Rotations
• Generalized Robinson Triangles
• Polytopal Tiles
• Self-Similar Substitution

Info

The substitution rule is similar to Say-awen 17-fold. It is invariant under $21-$fold dihedral symmetry and has infinite local complexity. The substitution factor is $\mu{21}=1/(2\sin(\pi/42))$, which is non-Pisot with minimal polynomial $p{21}(x)=x^6-8x^5+8x^4+6x^3-6x^2-x+1$.

Substitution Rule

Patch

download vectorformat Say-awen 21-fold

---

References

[Say2024]
Say-awen, A. L. D.
Tilings with Infinite Local Complexity and n-Fold Rotational Symmetry, n=13,17,21
arXiv 2024, https://doi.org/10.48550/arXiv.2408.17082

---