English

Visualizing Squircular Implicit Surfaces

Graphics 2023-02-21 v2 Differential Geometry

Abstract

The squircle is an intermediate shape between the square and the circle. In this paper, we examine and discuss equations for different types of squircles. We then build upon these 2D shapes to come-up with various 3D surfaces based on squircles.

Cite

@article{arxiv.2210.15232,
  title  = {Visualizing Squircular Implicit Surfaces},
  author = {Chamberlain Fong},
  journal= {arXiv preprint arXiv:2210.15232},
  year   = {2023}
}

Comments

proof of periodic squircle; conjecture on Schwarz P surface

R2 v1 2026-06-28T04:37:25.615Z