# Art of Tangent Circles

Art of Tangent Circles

The outer shape is made from the arcs of three tangent circles of radius . The radius of inner circles is determined by the recurrence , , where =a, =a, and =a.

a

1/+1/=4/a+2/

r

n+2

r

n

r

n+1

n≥3

r

3

r

4

2

3

-33

r

5

2

3

-33(2

3

-1)