Working with Bill Thurston in 2011, we explored a process of making smooth surfaces in 3D from flat 2-dimensional rigid material such, specifically paper and craft foam. I gave a talk about this project in 2014 at the Thurston Memorial Confernce held at Cornell.
Related publications:
High Fashion Meets Higher Mathematics, Math Horizons, (November 2012) 5-10.
Playing with Surfaces: Spheres, Monkey Pants, and Zippergons, with William P. Thurston. Bridges Coimbra Conference Proceedings (2011) 1-8.
This project was with Lewis Campbell, a Master's student of Fatma Baytar in the Department of Human Centered Design. Together we making clothing with non-traditional seams from body scan data.
Related publication: Flat Patterns from Curved Bodies, with Lewis Campbell and Fatma Baytar. Proceedings of Bridges: Mathematics, Art, Music, Architecture, and Culture, (2023), 381-384.
Harvard Preceptors Janet Chen and Stepan Paul developed class activities and 3D models for Multivariable Calculus in a project called Manipulative Calculus. With the support of Cornell's CTI micro-grant program I 3D printed and thermoformed 240 models for use in Math 1920 at Cornell.
Related publication: Manipulative Calculus: Active Learning with 3D-models, with Janet Chen and Stepan Paul. Proceedings of Symposia of Applied Mathematics (2022), 141-168.
Together with Ithaca College undergraduate Sam Llyod, we experimented with approximating images by projecting them onto the span of a relatively small set of matrices that correspond to images. By decomposing the "basis" images into 3 or 4 sub-images, we were able to obtain recognizable approximations in a subspace with dimension less than 10% of the original matrix size. Why did we do this? To see what it looked like of course.
Related publication: Into the Shadows: Approximating Images by Orthogonal Projection , with Sam Llyod. Proceedings of Bridges Baltimore: Mathematics, Art, Music, Architecture, and Culture, (2015), 515-519.