Can you find a continuous function from the unit interval to the unit square ? In other words, can you find a curve that passes through all points in a unit square?
Monthly Archives for November, 2014
100 identical circular coins are placed in a rectangular table such that no extra coin can be placed without overlapping with one of the coins already on the table. For the purpose of this puzzle, assume a coin is placed on a table as long as it's center lies on the table. Show that with 400 coins, one can cover the entire surface area of … Continue reading the story "Coin covering puzzle"
Let and be two parabolas with the same coefficient for the term. The y-intercepts of the two parabolas are and respectively. Let the two parabolas intersect at and let the tangent to the two parabolas drawn at and intersect at . Show using physics that . Hint: Assume x is time and y is space, and there is … Continue reading the story "Parabola puzzle"