Moss's egg

In Euclidean geometry, Moss's egg is an oval made by smoothly connecting four circular arcs. It can be constructed from a right isosceles triangle ABC with apex C.

Moss's egg outline

To construct Moss's egg:[1][2][3]

  • Draw a semicircle on the base AB of the triangle, outside of the triangle.
  • Connect it to a circular arc centered at B from A to a point D on line BC, and by another circular arc centered at A from B to a point E on line AC.
  • Complete the oval by a circular arc centered at C, from D to E.

References
  1. Dixon, R (1991). Mathographics. Dover. p. 5.
  2. Weisstein, Eric. "Math World". Wolfram MathWorld. Wolfram Math World. Retrieved 19 August 2015.
  3. Hreinsdóttir, Freyja. "Euclidean Eggs" (PDF). Archived from the original (PDF) on 2020-06-18.
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