Here superimposed upon one another are; club, heart, spade, and clover symbols which are found in an ordinary deck of playing cards. All 4 symbol designs came from out of 11 inscribed circles as shown here.

Geometry problems involving circles inscribed in regular hexagons and regular hexagons inscribed in circles can be solved the same way as problems involving circles and equilateral triangles. The key geometric properties are that a regular hexagon.

Choose any number of points on a circle and connect them to form a polygon. This polygon can be carved into triangles in any number of ways by connecting its vertices. No matter how this is done, the sum of the radii of the triangles’ inscribed circles is constant.