Flynn-Burhoe. 2008. Holomorphic forms on blue teapot Flickr

I was first introduced to the work of Xianfeng David Gu’s mesmerizing Escher-like visualizations of Computational Conformal Geometry on the jacket design of Spiro, George G. Spiro’s inspiring publication entitled Poincare’s Prize: The Hundred-Year Quest to Solve One of Math’s Greatest Puzzles (2007). It was his visualization of holomorphic (differentials) forms on the surface of a teapot that immediately caught my attention. (I had borrowed the book from the public library because of my fascination with Perelman’s story). Distort Spherize

My interest in surface reflections hidden in larger paintings developed into renditions of the reflections, particularly on spherical surfaces, encouraged in part by M. C. Escher’s iconic self-portrait.

In 1999 I began a series entitled Blue teapot where I emphasized the white visual noise/pattern on the highly reflective sephrical surface of a shiny (blue) sphere. Intuitively using laws of perspective I sought the diverse and elusive vanishing points of the spaces behind me, above me and below me as well as the more obvious space defined by Renaissance linear perspective in front of me. I was conscious of the inability of the author/artist/subject to eliminate the presence of the embodied self from the centre of these spheres.

I’ve incorporated this into different paintings since then sometimes creating a self-reflexive miniaturized mise-en-abyme effect.

Webliography and Bibliography

Gu, Xianfeng David. 2006. “Riemann Uniformization using Ricci Flow Method.” http://www.cise.ufl.edu/~gu/tutorial/Ricci_Report.pdf

Gu, Xianfeng David. 2006. “Computational Conformal Geometry Lecture Notes: Topology, Differential Geometry, Complex Analysis” http://www.cise.ufl.edu/~gu/tutorial/ComputationalConformalGeometry.pdf

Gu, Xianfeng David. 2006. “Isothermal Coordinates.” in PowerPoint “Computational Conformal Geometry Lecture Notes: Topology, Differential Geometry, Complex Analysis” http://www.cise.ufl.edu/~gu/tutorial/ComputationalConformalGeometry.pdf

Gu, Xianfeng David. 2006. “Figure 19: Holomorphic 1-forms on surfaces.” in PowerPoint “Computational Conformal Geometry Lecture Notes: Topology, Differential Geometry, Complex Analysis” http://www.cise.ufl.edu/~gu/tutorial/ComputationalConformalGeometry.pdf

Spiro, George G. 2007. Poincare’s Prize: The Hundred-Year Quest to Solve One of Math’s Greatest Puzzles. New York: Dutton/Penguin.

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