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GreenC bot (talk  contribs) m (1 archive template merged to {{webarchive}} (WAM)) 
m (link directly to padic norm (which redirects to a section under padic order)) 

#Take the square to be the unit square with vertices at (0,0), (0,1), (1,0) and (1,1). If there is a dissection into ''n'' triangles of equal area then the area of each triangle is 1/''n''.
#Colour each point in the square with one of three colours, depending on the [[padic
#Show that a straight line can contain points of only two colours.
#Use [[Sperner's lemma]] to show that every [[Triangulation (geometry)triangulation]] of the square into triangles meeting edgetoedge must contain at least one triangle whose vertices have three different colours.
