Twist (differential geometry)
id:
twist-differential-geometry-168-6236851
title:
Twist (differential geometry)
text:
In differential geometry, the twist of a ribbon is its rate of axial rotation. Let a ribbon be composed of a space curve, X = X, where s is the arc length of X, and U = U the a unit normal vector, perpendicular at each point to X. Since the ribbon has edges X and X ′ = X + ε U, the twist T w measures the average winding of the edge curve X ′ around and along the axial curve X. According to Love (1944) twist is defined by
- T w = 1 2 π ∫ ⋅ d X d s d s, where d X / d s is the unit tangent vector
brand slug:
wiki
category slug:
encyclopedia
description:
Differential geometry term
original url:
https://en.wikipedia.org/wiki/Twist_(differential_geometry)
date created:
2013-08-29T21:01:41Z
date modified:
2024-08-31T01:53:43Z
main entity:
{"identifier":"Q17138781","url":"https://www.wikidata.org/entity/Q17138781"}
image:
fields total:
13
integrity:
15