Tag Archives: Honsberger

Best viewing angle (Regiomontanus problem)

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6174: Kaprekar’s constant

Take any 4 digit number and using its digits find the largest and the smallest 4 digit numbers. Find the difference between the two and repeat the process, you will eventually end up with the number in less than 8 … Continue reading

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GCD of binomial coefficients

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Orange and green dots

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Why n^3 < 3^n ?

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Constant Chord

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Red and blue dots

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Why every n-gon has at least n-3 diagonals inside it ?

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Minimizing sum of the distance from a point

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Last 3 digits of 7^9999

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