Assertion: polygon | /r/HasProperty | convex
Facets:
value: strictly
type: DEGREE
value: namely
type: OTHER
Source sentences:
text: The polygon must be simple, and may be convex or concave.
text: Polygons can be convex, concave, or star.
text: As Poincaré observed, each such polygon has special properties, namely it is convex and has a natural pairing between its sides.
text: Each of the interior angles of the Fricke polygon is strictly less than π , so that the polygon is strictly convex, and the sum of these interior angles is 2 π .
text: Polygons also can be convex, concave irregular or regular figures.
text: A polygon is convex if and only if its corresponding polygonal region is convex.
text: Notice that this definition allows polygons to be either concave or convex.
text: Every polygon inscribed in a circle (such that all vertices of the polygon touch the circle), if not self-intersecting, is convex.
text: Note that if the polygon is known to be convex, then the nonconvex tests indicated can be omitted.
text: There are fast polygon-to-polygon tangency algorithms when both polygons are convex.
text: But, if both polygons are convex, then there is a straightforward linear tangency algorithm.