Steve Trettel

Illustration

Art

Cubic Lines — Framed Print

Julia — Framed Print

Lightfall — Print on Metal

Space(time) — Prints on Metal

Geodesic Boards — Wood

Singularity — Print on Metal

Showing 6 of 13 artworks View full gallery →

Graphics

Showing 8 of 290 graphics Browse all →

Code

Software

pathtracer

Photorealistic rendering of signed distance fields via unidirectional path tracing in GLSL.

GLSL · GitHub

shader-sandbox

An npm package for running Shadertoy-like shaders and beyond easily on your local machine.

JavaScript · GitHub

threejs-demos

A system for creating and running Three.js animations.

JavaScript / Three.js · GitHub

3 software projects Details & documentation →

Writing

Books & Course Notes

Course Notes

Modern Geometry

Notes / textbook for a 1 semester undergraduate course in geometry, taking calculus as the foundations. Covers Euclidean, Spherical and a bit of Hyperbolic geometry.

Course Notes

Multivariable Calculus

Supplementary Course Notes for the multivariable calculus course I teach at USF, with live animations.

Textbook

Reaching for Infinity

A year-long advanced undergraduate real analysis textbook, with an emphasis on historically important problems.

Course Notes

Shaders

Course notes for GPU shader programming as a tool for mathematical visualization, covering fractals, implicit surfaces, tilings, and physical simulations in GLSL.

4 works All books & course notes →

Websites

algebraicstarscapes.com

Algebraic Starscapes

with Edmund Harriss, Kate Stange

stevejtrettel.site

Raymarching Thurston Geometries

with Henry Segerman, Rémi Coulon, Sabetta Matsumoto

elliptic-curves.art

Visualizing Elliptic Curves over Finite Fields

with Nadir Hajouji

Academic

This semester I am on sabbatical in Europe, and not teaching. (previous semesters)

When not at USF, I'm occasionally on the road for math — upcoming trips below, and where I've recently been. I particularly enjoy giving undergraduate colloquia and public lectures — if you'd like to have me visit, please get in touch.

Jan 18 – Apr 3 Institut Henri Poincaré Illustration as a Mathematical Research Technique (semester program) Paris, France
Apr 4 – Jun 18 Max Planck Institute for Mathematics in the Sciences Visiting Researcher Leipzig, Germany
Jun 21–26 BIRS — Casa Matemática Oaxaca Frontiers in Surface Topology: Compact, Non-Compact, and Beyond Oaxaca, Mexico
Jul 21–31 International Congress of Mathematicians Invited Mathematical Art Exhibition Philadelphia, PA
Aug 5–8 MAA MathFest Invited Address Boston, MA