Question 8 (20pts): Please use computer graphics software to draw a picture that meets the following conditions

a circle C

A circle C inscribed in C

A series of pairwise dissimilar circles C1,C2,...,Cn, n10, satisfy

C1 is tangent to C, C at two different points. (that is, not at the common tangent point of C and C)

For all k > 1, Ck cuts to C, C and Ck1

Please briefly describe the steps of your method and list the Mbius transformations you used.