Is it true for infinite number of m, more than four, there exist m circles internally tangent or external tangent or combination of both each others(in this problem, i mean a circle must be tangent to all other circles, every two pair of circle tangent at a different point)? please prove this or disprove this.
Rephrase: Is it true that there exist (m>4) circles tangent to each other at different points?
i never got this because i never ever tried to generalize any geomertic theorem before.
Sorry for missing a piece of important but must for sure to edit it. Thanks in advance for answer it. This haven't answered for a day, can someone help?
Ignore the inner red circle, this picture is an example that fulfill the requirement in this problem: