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- Ant_on_a_rubber_rope abstract "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,but a typical form is as follows: An ant starts to crawl along a taut rubber rope 1 km long at a speed of 1 cm per second (relative to the rubber it is crawling on). At the same time, the rope starts to stretch uniformly by 1 km per second, so that after 1 second it is 2 km long, after 2 seconds it is 3 km long, etc. Will the ant ever reach the end of the rope?At first consideration it seems that the ant will never reach the end of the rope, but in fact it does (although in the form stated above the time taken is colossal). Whatever the length of the rope and the relative speeds of the ant and the stretching, providing the ant's speed and the stretching remain steady the ant will always be able to reach the end given sufficient time. Once the ant has begun moving, the rubber rope is stretching both in front of and behind the ant, conserving the proportion of the rope already walked by the ant and enabling the ant to make continual progress. This is similar to the Achilles and the Tortoise Paradox (see Zeno's Paradoxes)".
- Ant_on_a_rubber_rope thumbnail Ant_on_a_rubber_rope_1.5_centered.png?width=300.
- Ant_on_a_rubber_rope wikiPageExternalLink 664.shtml.
- Ant_on_a_rubber_rope wikiPageExternalLink 10002.3.shtml.
- Ant_on_a_rubber_rope wikiPageID "16786863".
- Ant_on_a_rubber_rope wikiPageLength "14155".
- Ant_on_a_rubber_rope wikiPageOutDegree "19".
- Ant_on_a_rubber_rope wikiPageRevisionID "706462649".
- Ant_on_a_rubber_rope wikiPageWikiLink Accelerating_expansion_of_the_universe.
- Ant_on_a_rubber_rope wikiPageWikiLink Age_of_the_universe.
- Ant_on_a_rubber_rope wikiPageWikiLink Category:Fictional_ants.
- Ant_on_a_rubber_rope wikiPageWikiLink Category:Mathematical_analysis.
- Ant_on_a_rubber_rope wikiPageWikiLink Category:Paradoxes.
- Ant_on_a_rubber_rope wikiPageWikiLink Category:Puzzles.
- Ant_on_a_rubber_rope wikiPageWikiLink Category:Recreational_mathematics.
- Ant_on_a_rubber_rope wikiPageWikiLink Counterintuitive.
- Ant_on_a_rubber_rope wikiPageWikiLink Divergent_series.
- Ant_on_a_rubber_rope wikiPageWikiLink Harmonic_series_(mathematics).
- Ant_on_a_rubber_rope wikiPageWikiLink Linear_differential_equation.
- Ant_on_a_rubber_rope wikiPageWikiLink Martin_Gardner.
- Ant_on_a_rubber_rope wikiPageWikiLink Mathematical_puzzle.
- Ant_on_a_rubber_rope wikiPageWikiLink Metric_expansion_of_space.
- Ant_on_a_rubber_rope wikiPageWikiLink Scientific_American.
- Ant_on_a_rubber_rope wikiPageWikiLink Zenos_paradoxes.
- Ant_on_a_rubber_rope wikiPageWikiLink File:Ant_on_a_rubber_rope_1.5_centered.png.
- Ant_on_a_rubber_rope wikiPageWikiLinkText "Ant on a rubber rope".
- Ant_on_a_rubber_rope wikiPageWikiLinkText "ant on a rubber rope".
- Ant_on_a_rubber_rope wikiPageWikiLinkText "worm on the rubber band".
- Ant_on_a_rubber_rope wikiPageUsesTemplate Template:Technical.
- Ant_on_a_rubber_rope wikiPageUsesTemplate Template:Val.
- Ant_on_a_rubber_rope subject Category:Fictional_ants.
- Ant_on_a_rubber_rope subject Category:Mathematical_analysis.
- Ant_on_a_rubber_rope subject Category:Paradoxes.
- Ant_on_a_rubber_rope subject Category:Puzzles.
- Ant_on_a_rubber_rope subject Category:Recreational_mathematics.
- Ant_on_a_rubber_rope hypernym Puzzle.
- Ant_on_a_rubber_rope type VideoGame.
- Ant_on_a_rubber_rope type Field.
- Ant_on_a_rubber_rope comment "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,but a typical form is as follows: An ant starts to crawl along a taut rubber rope 1 km long at a speed of 1 cm per second (relative to the rubber it is crawling on).".
- Ant_on_a_rubber_rope label "Ant on a rubber rope".
- Ant_on_a_rubber_rope sameAs Q4770869.
- Ant_on_a_rubber_rope sameAs m.0406362.
- Ant_on_a_rubber_rope sameAs Q4770869.
- Ant_on_a_rubber_rope wasDerivedFrom Ant_on_a_rubber_rope?oldid=706462649.
- Ant_on_a_rubber_rope depiction Ant_on_a_rubber_rope_1.5_centered.png.
- Ant_on_a_rubber_rope isPrimaryTopicOf Ant_on_a_rubber_rope.