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- Affine-regular_polygon abstract "In geometry, an affine-regular polygon or affinely regular polygon is a polygon that is related to a regular polygon by an affine transformation. Affine transformations include translations, uniform and non-uniform scaling, reflections, rotations, shears, and other similarities and some, but not all linear maps.All triangles are affine-regular. In other words, all triangles can be generated by applying affine transformations to an equilateral triangle. A quadrilateral is affine-regular if and only if it is a parallelogram, which includes rectangles and rhombuses as well as squares. In fact, affine-regular polygons may be considered a natural generalization of parallelograms.Many properties of regular polygons are invariant under affine transformations, and affine-regular polygons share the same properties. For instance,an affine-regular quadrilateral can be equidissected into equal-area triangles if and only if is even, by affine invariance of equidissection and Monsky's theorem on equidissections of squares. More generally an -gon with may be equidissected into equal-area triangles if and only if is a multiple of .".
- Affine-regular_polygon wikiPageID "36803313".
- Affine-regular_polygon wikiPageRevisionID "593789433".
- Affine-regular_polygon hasPhotoCollection Affine-regular_polygon.
- Affine-regular_polygon subject Category:Affine_geometry.
- Affine-regular_polygon subject Category:Polygons.
- Affine-regular_polygon comment "In geometry, an affine-regular polygon or affinely regular polygon is a polygon that is related to a regular polygon by an affine transformation. Affine transformations include translations, uniform and non-uniform scaling, reflections, rotations, shears, and other similarities and some, but not all linear maps.All triangles are affine-regular. In other words, all triangles can be generated by applying affine transformations to an equilateral triangle.".
- Affine-regular_polygon label "Affine-regular polygon".
- Affine-regular_polygon sameAs m.0ll1x_4.
- Affine-regular_polygon sameAs Q4688930.
- Affine-regular_polygon sameAs Q4688930.
- Affine-regular_polygon wasDerivedFrom Affine-regular_polygon?oldid=593789433.
- Affine-regular_polygon isPrimaryTopicOf Affine-regular_polygon.