Difference between revisions of "Domino effect and tractrix"
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[[File:Domino effect.png|thumb|alt=|none]] | [[File:Domino effect.png|thumb|alt=|none]] | ||
Push the leftmost domino and assume they all fall except for the very last one. What curve do their tops trace? | Push the leftmost domino and assume they all fall except for the very last one. What curve do their tops trace? | ||
| + | [[File:Domino effect2.png|none|thumb]] | ||
| + | To answer this question, imagine that the dominos are infinitely thin and thus replace each domino with a stick (of the same length). Then it is reasonable to assume that these sticks are tangent to the "ideal" curve that follows the tops of the dominos. | ||
Revision as of 16:25, 16 May 2022
Consider a set of dominos standing along a straight line with equal distances between them.
Push the leftmost domino and assume they all fall except for the very last one. What curve do their tops trace?
To answer this question, imagine that the dominos are infinitely thin and thus replace each domino with a stick (of the same length). Then it is reasonable to assume that these sticks are tangent to the "ideal" curve that follows the tops of the dominos.