DISINI 2016FermatSolution
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The corner was removed from the polygon by cutting along the line segment from A to B, where A and B are points on the boundary of the polygon... If one edge of the walkway is along
In the figure below, three congruent circles are tangent to each other and to the sides of an equilateral triangle of side length a as shown.. △ ABC is an equilateral triangle of
segments can intersect at an interior point of the semi-circle in each of the following three ways: (i) the line segments have all 4 endpoints on the arc, (ii) each line segment has
The length of the line joining the midpoints of two adjacent sides of the cube is 2 2 , so the cuboctahedron has six square faces (left over from the six faces of the
path that goes either downwards or horizontally along the line segments in the diagram. You may not use any segment more
We determine the possibilities for the different sides of the rectangle using the fact that it must contain both circles.. The left side of a rectangle containing both circles must
Thus, to maximize the exposed sum on these dice, we position them with the 6 and the 5 as the unpaired exposed faces (on the top and right of the stack).. The slope of line segment
Since the smaller circle passes through the centre of the larger circle and just touches the outer circle, then by symmetry, its diameter must equal the radius of the larger circle.
