isothetic

A curve is isothetic if it consists entirely of lines parallel to one of the coordinate axes in a given rectilinear coordinate system. A polygon 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 rectangle $\\{(x,y):x_{1}\\leq x\\leq x_{2},\\;y_{1}\\leq y\\leq y_{2}\\}$ for some $x_{1}$ , $x_{2}$ , $y_{1}$ , $y_{2}$ . 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!)

单词	Isothetic
释义	isothetic A curve is isothetic if it consists entirely of lines parallel to one of the coordinate axes in a given rectilinear coordinate system. A polygon 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 rectangle $\\{(x,y):x_{1}\\leq x\\leq x_{2},\\;y_{1}\\leq y\\leq y_{2}\\}$ for some $x_{1}$ , $x_{2}$ , $y_{1}$ , $y_{2}$ . 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!)
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