Immersion in Mathematics

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Judy Holdener: Immersion in Mathematics. In: Bridges 2016, Pages 25–32.



In this article I describe the meaning of my digital work of mathematical art titled “Immersion.”

Extended Abstract


 author      = {Judy Holdener},
 title       = {Immersion in Mathematics},
 pages       = {25--32},
 booktitle   = {Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture},
 year        = {2016},
 editor      = {Eve Torrence, Bruce Torrence, Carlo S\'equin, Douglas McKenna, Krist\'of Fenyvesi and Reza Sarhangi},
 isbn        = {978-1-938664-19-9},
 issn        = {1099-6702},
 publisher   = {Tessellations Publishing},
 address     = {Phoenix, Arizona},
 url         = { },
 note        = {Available online at \url{}}

Used References

[1] H. Abelson and A.A. diSessa, Turtle Geometry, MIT Press Series in Artificial Intelligence, (1981), MIT Press.

[2] W. Boy, “Ueberdie Curvatura integra und die Topologie geschlossener Flaechen.” Math. Annalen, 57 (1903), pp. 151-184.

[3] J. Holdener and M. Snipes, “Sources of Flow as Sources of Symmetry: Divergence Patterns of Sinusoidal Vector Fields,” Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture, (2014), Tessellations Publishing, pp. 409–412, 2014/bridges2014-409.pdf (as of Jan. 4, 2015).

[4] L. Kennard, M. Zaremsky, and J. Holdener, “Generalized Thue-Morse sequences and the von Koch Curve,” International Journal of Pure and Applied Mathematics, 37(3), (2008).

[5] J. Ma and J. Holdener, “When Thue-Morse meets Koch,” Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society, 13 (2005), pp. 191–206.


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