Midpoint polygon

In geometry, the midpoint polygon of a polygon P is the polygon whose vertices are the midpoints of the edges of P.[1][2] It is sometimes called the Kasner polygon after Edward Kasner, who termed it the inscribed polygon "for brevity".[3][4]

The medial triangle
The Varignon parallelogram
  1. ^ Gardner 2006, p. 36.
  2. ^ Gardner & Gritzmann 1999, p. 92.
  3. ^ Kasner 1903, p. 59.
  4. ^ Schoenberg 1982, pp. 91, 101.

Midpoint polygon

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