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The ant on a rubber rope is a mathematical puzzle with a solution that appears counterintuitive or paradoxical. It is sometimes given as a worm, or inchworm, on a rubber or elastic band, but the principles of the puzzle remain the same. The details of the puzzle can vary, [1] [2] but a typical form is as follows:
Ant on a rubber rope: An ant crawling on a rubber rope can reach the end even when the rope stretches much faster than the ant can crawl. Cramer's paradox : The number of points of intersection of two higher-order curves can be greater than the number of arbitrary points needed to define one such curve.
ant on rubber rope graph: Image title: Absolute position x vs time t graph of an ant crawling at 1 cm/s (red) relative to and along an elastic band of 4 cm initial length stretching at 2 cm/s painted in eights (shaded background) by CMG Lee. The asymptote (dashed purple) shows the position of the ant if the band was not stretching.
Ant on a rubber rope; B. Bellman's lost-in-a-forest problem; C. Carpenter's rule problem; ... Rope-burning puzzle; S. Sangaku; Six nines in pi; The spider and the fly ...
Browse and play any of the 40+ online puzzle games for free against the AI or against your friends. Enjoy challenging puzzle games such as Just Words, Letter Garden, Bubble Mouse Blast, Codeword ...
Inspired by the spring season, this new puzzle is full of little butterflies fluttering across the page with the prettiest background in a bright, pastel color palette—light hues of pinks ...
Mathematical puzzles require mathematics to solve them. Logic puzzles are a common type of mathematical puzzle. Conway's Game of Life and fractals, as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions. After these conditions are set ...
In today's puzzle, there are six theme words to find (including the spangram). Hint: The first one can be found in the top-half of the board. Here are the first two letters for each word: HA. RA ...