2019 Icerm Illustrating Mathematics
Steve Trettel
Artists
Steve Trettel
Graduate Student
Math Department, UC Santa Barbara
Santa Barbara, California, USA
Statement
I work with Mathematica and other software to model objects in low dimensional, geometric topology. I am particularly interested in modeling perspectively correct views of the interior of homogeneous manifolds, the developing maps of projective structures on surfaces, and animations for teaching mathematics courses.
Artworks
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This is a video of successive approximations of the rational function z/(z+1) by truncated Taylor series, as the base point moves about the plane. This video was produced to accompany a complex analysis course, and show visually the connection between the basepoint, radius of convergence, and location of singularities.