%A Wert, Travis
%A Brake, Danielle
%D 2019
%T 3D Printing Solid Mobius Strips
%K
%X Mobius strips are parameterized explicitly by two variables, and have no thickness. However, surfaces with no thickness cannot be 3D-printed without additional post-processing to the discretization. Hence, we want equations for a naturally printable algebraic approximation of a Mobius strip that has thickness, referred to throughout as a solid Mobius surface. In this paper, we (re-)derive these algebraic equations, demonstrate Matlab code generating solid Mobius surfaces with an arbitrary number of twists, and use Numerical Algebraic Geometry to compute a smoothed numerical cellular decomposition of the objects. We conclude with 3D-printed results.
%U https://mjum.math.umn.edu/index.php/mjum/article/view/62
%J Minnesota Journal of Undergraduate Mathematics
%0 Journal Article
%V 5
%N 1
%@ 2378-5810
%8 2019-07-31