DISINI 2009FermatSolution
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Let denote the maximum number of points of intersection strictly between lines and formed by joining the m points on to the points on in all possible ways...
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
Therefore, when the two dice are rolled, there are 6 × 6 = 36 equally likely outcomes for the combination of the numbers on the top face of each.. Since OF passes through the centre
This means that the total of the scores from all three tosses, 60 + 110 + 130 = 300, repre- sents twice the sum of the number on the non-zero sides of the three coins. If twice the
The smallest possible height of the pyramid will occur when the four side faces are just touching the circumference of the end faces of the cylinder.. To see this, consider
The cube always begins a path on the bottom left square in the position shown and completes the path on the top right square.. During each move, an edge of the cube remains in
(5) Number your polyhedrons in order and write your team code on each; fill in the checklist to list out the numbers of squares and triangles, the numbers of sides, faces and
The faces of a cube are to be painted so that two faces with a common edge are painted with different colours.. Find the minimum number of colours needed to
