Midpoint-stretching polygon

In geometry, the midpoint-stretching polygon of a cyclic polygon P is the polygon whose vertices are the midpoints of the circular arcs between the vertices of P.^[1] It is also called the shadow of P.

See also

• Maximal evenness
• Midpoint polygon

References

• Ding, Jiu; Hitt, L. Richard; Zhang, Xin-Min (1 July 2003), "Markov chains and dynamic geometry of polygons", Linear Algebra and its Applications 367: 255–270, doi:10.1016/S0024-3795(02)00634-1, http://www.rhitt.com/research/markov.pdf, retrieved 19 October 2011 
• Gomez-Martin, Francisco; Taslakian, Perouz; Toussaint, Godfried T. (2008), Evenness preserving operations on musical rhythms, doi:10.1145/1370256.1370275 
• Gomez-Martin, Francisco; Taslakian, Perouz; Toussaint, Godfried T. (2008), Convergence of the shadow sequence of inscribed polygons, http://oa.upm.es/4442/