Steps to Create Daisies Draw a circle. From a point on the circle, draw another circle using the same radius. From the point of intersection of the circles, draw another circle with the same radius. Repeat to create daisies.
Creating Daisies Congruent circles with centers on intersection points
Why does it work? The daisies have 60 degree rotational symmetry. Using the same radius creates equilateral triangles with all interior angles = 60 degrees
Spirals have an iterative pattern. Construct a segment. Construct a perpendicular to the segment at an endpoint Construct a triangle. Construct a perpendicular to the hypotenuse at point A. Construct a circle with radius AP. Use the point of intersection as a vertex to form a new triangle. A P