278 citations · 398 across the 17 of their papers we have counts for
17 papers
Programming Mechanics in Knitted Materials, Stitch by Stitch
Krishma Singal, Michael S. Dimitriyev, Sarah E. Gonzalez +3
Knitting turns yarn, a 1D material, into a 2D fabric that is flexible, durable [1], and can be patterned to adopt a wide range of 3D geometries [2]. Like other mechanical metamater…
A mathematical overview and some applications of gear design
Elisabetta A. Matsumoto, Henry Segerman
In this paper we give a brief overview of the geometry of involute gears, from a mathematical more than an engineering perspective. We also list some of the many variant geared mec…
Ray-marching Thurston geometries
Rémi Coulon, Elisabetta A. Matsumoto, Henry Segerman +1
We describe algorithms that produce accurate real-time interactive in-space views of the eight Thurston geometries using ray-marching. We give a theoretical framework for our algor…
Knotty knits are tangles on tori
Shashank G Markande, Elisabetta A Matsumoto
In this paper we outline a topological framework for constructing 2-periodic knitted stitches and an algebra for joining stitches together to form more complicated textiles. Our to…
Non-Euclidean Virtual Reality III: Nil
Rémi Coulon, Elisabetta A. Matsumoto, Henry Segerman +1
We describe a method of rendering real-time scenes in Nil geometry, and use this to give an expository account of some interesting geometric phenomena. You can play around with the…
Non-Euclidean Virtual Reality IV: Sol
Rémi Coulon, Elisabetta A. Matsumoto, Henry Segerman +1
This article presents virtual reality software designed to explore the Sol geometry. The simulation is available on 3-dimensional.space/sol.html