Draft:Squigonometry

  • Comment: A single (working) source isn't enough to establish notability, or even properly to verify the information. DoubleGrazing (talk) 11:35, 13 July 2024 (UTC)


Squigonometry or p-trigonometry is a branch of mathematics that extends traditional trigonometry to shapes other than circles, particularly to squircles, in the p-norm. Unlike trigonometry, which deals with the relationships between angles and side lengths of triangles and uses trigonometric functions, squigonometry focuses on analogous relationships within the context of a unit squircle.

Squigonometric functions are mostly used to solve certain indefinite integrals, using a method akin to trigonometric substitution.[1] This approach allows for the integration of functions that are otherwise computationally difficult to handle.

Squigonometry has been applied to find expressions for the volume of superellipsoids, such as the superegg.[2]

  1. ^ Poodiack, Robert D. (April 2016). "Squigonometry, Hyperellipses, and Supereggs". Mathematics Magazine. 89 (2): 99–100.
  2. ^ Poodiack, Robert D. (April 2016). "Squigonometry, Hyperellipses, and Supereggs". Mathematics Magazine. 89 (2): 100–101.