In this paper we use dynamic geometry software to investigate a class of tilings called k-uniform tilings or tessellations. A tiling consisting of regular polygons whose vertices belong to k-transitivity classes under the action of its symmetry group (vertex-k-transitive) is said to be k-uniform. We also present constructions of tilings consisting of irregular polygons that are vertex-k-transitive.
De las Peñas, M., Taganap, E. (2017). Discovering New Tessellations Using Dynamic Geometry Software. Proceedings of the 22nd Asian Technology Conference in Mathematics (eds. W.C. Yang, D. Meade and Y. Yuan), Mathematics and Technology, LLC, Blacksburg VA, USA. 153-162.