Recent content by jorgealnino

How about this Call the vertex of your right triangle (c_1,r,c2) with c_1 tangent to the circle and r the vertex at the right angle. Let o be the center of your circle. Now construct the square (o,c_1,r,s). Observe that c_2 is on the square side (r,q) and use pythagoras.

Hi again Yes, I agree it is an interesting problem as it is your approach to find the couterexample henry_m! Even if this problem seems to be "standar", it was not easy for me to find some information about its solution. At the end i found this thesis: Combinatorial & Computational...

Hi Taking the intersection of a n-cube with any hyperplane, i would like to know the maximum number X of non adjacent vertices of the cube lying in such intersection. In R2 for instance, i can cut the unit square {(0,0),(1,0),(1,1),(0,1)} with a diagonal line passing through (1,0) and...