Non-periodic Tiles Based on Ammann Set A2 Tiles

Aus de_evolutionary_art_org
Version vom 27. Januar 2015, 20:05 Uhr von Gbachelier (Diskussion | Beiträge) (Die Seite wurde neu angelegt: „ == Reference == Chirag Mehta: Non-periodic Tiles Based on Ammann Set A2 Tiles. In: Bridges 2014. Pages 425–428 == DOI == == Abstract == I presen…“)

(Unterschied) ← Nächstältere Version | Aktuelle Version (Unterschied) | Nächstjüngere Version → (Unterschied)
Wechseln zu: Navigation, Suche


Reference

Chirag Mehta: Non-periodic Tiles Based on Ammann Set A2 Tiles. In: Bridges 2014. Pages 425–428

DOI

Abstract

I present here three different non-periodic tile sets TS1, TS2 and TS3. Tile set TS1 is deduced from the Ammann set A2, and is a triangular version of it. TS2 is a variant of tile set TS1, while TS3and TS2 are MLD (Mutually Locally Derivable). These tiles are based on Golden Ratios Ø = 0.618034 and φ =1.618034.

Extended Abstract

Bibtex

Used References

[1] Penrose tiling, http://math.uchicago.edu/~mann/penrose.pdf (as of March 16, 2014)

[2] Ammann R., Grünbaum B., Shephard G. C., Aperiodic tiles, Discrete & Computational Geometry, 8:1 (1992), 1-25.

[3] Baake M. et al., Quasiperiodic tiling with tenfold symmetry and equivalence with respect to local derivability, J. Phys. A: Math. Gen. 24, 4637 (1991).


Links

Full Text

http://archive.bridgesmathart.org/2014/bridges2014-425.pdf

intern file

Sonstige Links

http://archive.bridgesmathart.org/2014/bridges2014-425.html