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- Midpoint-stretching_polygon abstract "In geometry, the midpoint-stretching polygon of a cyclic polygon P is another cyclic polygon inscribed in the same circle, the polygon whose vertices are the midpoints of the circular arcs between the vertices of P. It may be derived from the midpoint polygon of P (the polygon whose vertices are the edge midpoints) by placing the polygon in such a way that the circle's center coincides with the origin, and stretching or normalizing the vector representing each vertex of the midpoint polygon to make it have unit length.The midpoint-stretching polygon is also called the shadow of P; when the circle is used to describe a repetitive time sequence and the polygon vertices on it represent the onsets of a drum beat, the shadow represents the set of times when the drummer's hands are highest, and has greater rhythmic evenness than the original rhythm.The midpoint-stretching polygon of a regular polygon is itself regular, and iterating the midpoint-stretching operation on an arbitrary initial polygon results in a sequence of polygons whose shape converges to that of a regular polygon.".
- Midpoint-stretching_polygon thumbnail Midpoint_stretching_polygon.svg?width=300.
- Midpoint-stretching_polygon wikiPageID "33469760".
- Midpoint-stretching_polygon wikiPageRevisionID "589113019".
- Midpoint-stretching_polygon hasPhotoCollection Midpoint-stretching_polygon.
- Midpoint-stretching_polygon subject Category:Polygons.
- Midpoint-stretching_polygon type Abstraction100002137.
- Midpoint-stretching_polygon type Attribute100024264.
- Midpoint-stretching_polygon type Figure113862780.
- Midpoint-stretching_polygon type PlaneFigure113863186.
- Midpoint-stretching_polygon type Polygon113866144.
- Midpoint-stretching_polygon type Polygons.
- Midpoint-stretching_polygon type Shape100027807.
- Midpoint-stretching_polygon comment "In geometry, the midpoint-stretching polygon of a cyclic polygon P is another cyclic polygon inscribed in the same circle, the polygon whose vertices are the midpoints of the circular arcs between the vertices of P.".
- Midpoint-stretching_polygon label "Midpoint-stretching polygon".
- Midpoint-stretching_polygon sameAs m.0h96rcp.
- Midpoint-stretching_polygon sameAs Q6842954.
- Midpoint-stretching_polygon sameAs Q6842954.
- Midpoint-stretching_polygon sameAs Midpoint-stretching_polygon.
- Midpoint-stretching_polygon wasDerivedFrom Midpoint-stretching_polygon?oldid=589113019.
- Midpoint-stretching_polygon depiction Midpoint_stretching_polygon.svg.
- Midpoint-stretching_polygon isPrimaryTopicOf Midpoint-stretching_polygon.
