Random Walks on Vertices of Archimedean Tilings

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Vincent J. Matsko: Random Walks on Vertices of Archimedean Tilings. In: Bridges 2015. Pages 439–442



Random walks have been studied by mathematicians and statisticians for over one hundred years, and have recently been used as the basis for some two- and three-dimensional artwork. In this paper, two-dimensional images are created based on random walks on the vertices of Archimedean tilings of the plane.

Extended Abstract


 author      = {Vincent J. Matsko},
 title       = {Random Walks on Vertices of Archimedean Tilings},
 pages       = {439--442},
 booktitle   = {Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture},
 year        = {2015},
 editor      = {Kelly Delp, Craig S. Kaplan, Douglas McKenna and Reza Sarhangi},
 isbn        = {978-1-938664-15-1},
 issn        = {1099-6702},
 publisher   = {Tessellations Publishing},
 address     = {Phoenix, Arizona},
 note        = {Available online at \url{http://archive.bridgesmathart.org/2015/bridges2015-439.html }},
 url         = {http://de.evo-art.org/index.php?title=Random_Walks_on_Vertices_of_Archimedean_Tilings },

Used References

[1] Coyne, Chris, Context Free Art, 2015. http://www.contextfreeart.org (as of Feb. 12, 2015).

[2] Sch¨onlieb, Carola-Bibiane and Franz Schubert, Random simulations for generative art construction— some examples, Journal of Mathematics and the Arts, Vol. 7, Iss. 1, 2013.

[3] Tarbell, Jared, Gallery of Computation, 2014. http://www.complexification.net/gallery/ (as of Feb. 12, 2015).


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