Lissajous knot
id:
lissajous-knot-297-5933769
title:
Lissajous knot
text:
In knot theory, a Lissajous knot is a knot defined by parametric equations of the form where n x , n y , and n z are integers and the phase shifts ϕ x , ϕ y , and ϕ z may be any real numbers. The projection of a Lissajous knot onto any of the three coordinate planes is a Lissajous curve, and many of the properties of these knots are closely related to properties of Lissajous curves. Replacing the cosine function in the parametrization by a triangle wave transforms every Lissajous
knot isotopical
brand slug:
wiki
category slug:
encyclopedia
description:
Knot defined by parametric equations defining Lissajous curves
original url:
https://en.wikipedia.org/wiki/Lissajous_knot
date created:
date modified:
2024-02-21T19:00:25Z
main entity:
{"identifier":"Q6559131","url":"https://www.wikidata.org/entity/Q6559131"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/8/88/Lissajous_8_21_Knot.png","width":1600,"height":1720}
fields total:
13
integrity:
15