A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry

Gähler F, Kwan EE, Maloney GR (2015)
Discrete & Computational Geometry 53(2): 445-465.

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We describe a computer algorithm that searches for substitution rules on a set of triangles, the angles of which are all integer multiples of . We find new substitution rules admitting -fold rotational symmetry at many different inflation factors.
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Gähler F, Kwan EE, Maloney GR. A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry. Discrete & Computational Geometry. 2015;53(2):445-465.
Gähler, F., Kwan, E. E., & Maloney, G. R. (2015). A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry. Discrete & Computational Geometry, 53(2), 445-465. doi:10.1007/s00454-014-9659-5
Gähler, F., Kwan, E. E., and Maloney, G. R. (2015). A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry. Discrete & Computational Geometry 53, 445-465.
Gähler, F., Kwan, E.E., & Maloney, G.R., 2015. A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry. Discrete & Computational Geometry, 53(2), p 445-465.
F. Gähler, E.E. Kwan, and G.R. Maloney, “A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry”, Discrete & Computational Geometry, vol. 53, 2015, pp. 445-465.
Gähler, F., Kwan, E.E., Maloney, G.R.: A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry. Discrete & Computational Geometry. 53, 445-465 (2015).
Gähler, Franz, Kwan, Eugene E., and Maloney, Gregory R. “A Computer Search for Planar Substitution Tilings with n-Fold Rotational Symmetry”. Discrete & Computational Geometry 53.2 (2015): 445-465.
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