A curve is isothetic if it consists entirely of lines parallelMathworldPlanetmathPlanetmath to one of the coordinate axes in a given rectilinear coordinate systemMathworldPlanetmath. A polygonMathworldPlanetmathPlanetmath or polyhedron is isothetic if all of its edges are parallel to one of the coordinate axes.

An example of an isothetic polygon is the rectangleMathworldPlanetmath {(x,y):x1xx2,y1yy2} for some x1, x2, y1, y2. Examples of non-isothetic shapes are the tilted square {(x,y,z):|x|+|y|=1} and the bipyramid {(x,y,z):|x|+|y|+|z|=1}.

(This entry is here because I couldn’t find a definition of isothetic on the web. If you know anything interesting about isothetic shapes, please adopt this entry!)

Title isothetic
Canonical name Isothetic
Date of creation 2013-03-22 15:54:33
Last modified on 2013-03-22 15:54:33
Owner lha (3057)
Last modified by lha (3057)
Numerical id 8
Author lha (3057)
Entry type Definition
Classification msc 52B11