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math.MG2018
An extremal problem of regular simplices-The higher dimensional case
Ákos G. Horváth
The new result of this paper connected with the following problem: Consider a supporting hyperplane of a regular simplex and its re ected image at this hyperplane. When will be the…
math.MG2018
A note on the centers of a closed chain of circles
Ákos G. Horváth
In this note we prove that the centers of a closed chain of circles for which every two consecutive members meet in the points of two given circles form a tangent polygon of a coni…