17 citations · 25 across the 7 of their papers we have counts for
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math.MG2014
On substitution tilings of the plane with n-fold rotational symmetry
Gregory R. Maloney
A method is described for constructing, with computer assistance, planar substitution tilings that have n-fold rotational symmetry. This method uses as prototiles the set of rhombs…
math.GR2014★ 1 cited
The ultrasimplicial property for simple dimension groups with unique state, the image of which has rank one
Gregory R. Maloney
Let be an ordered group that is a direct sum of a rank-one torsion-free abelian group and a finite-rank torsion-free abelian group, with order structure arising from the natura…
math.MG2014★ 5 cited
A computer search for planar substitution tilings with n-fold rotational symmetry
Franz Gähler, Eugene E. Kwan, Gregory R. Maloney
We describe a computer algorithm that searches for substitution rules on a set of triangles, the angles of which are all integer multiples of π/n. We find new substitution rules ad…