query: What is the concept/theory behind the fact that when two shapes approximate each other, their lengths are not necessarily equal?
positive_passages.docid: 2786
positive_passages.text: The staircase paradox, or why $\pi\ne4$
negative_passages.docid: 71041
negative_passages.text: What is the underlying explanation behind fictitious/pseudo forces?
negative_passages.docid: 133337
negative_passages.text: A little integration paradox
negative_passages.docid: 53132
negative_passages.text: A convex subset of a set has 'smaller' boundary than the set?
negative_passages.docid: 42372
negative_passages.text: Space Expansion vs. Relative Motion
negative_passages.docid: 24478
negative_passages.text: What is the name of this theorem, and are there any caveats?
negative_passages.docid: 52226
negative_passages.text: Why are two definitions of ellipses equivalent?
negative_passages.docid: 31618
negative_passages.text: Why do objects appear smaller when farther away?
negative_passages.docid: 37222
negative_passages.text: What is the precise definition of a rigid shape?
negative_passages.docid: 111355
negative_passages.text: Explanation for a much simpler version of the twin paradox?
negative_passages.docid: 151326
negative_passages.text: Concurrency of the heights of a tetrahedron with opposite edges perpendicular.
negative_passages.docid: 20872
negative_passages.text: Is it possible for a physical object to have an irrational length?
negative_passages.docid: 137812
negative_passages.text: Why does magnetic force vary in proportion to the cube of the distance instead of the square?
negative_passages.docid: 65052
negative_passages.text: The distance between touching objects
negative_passages.docid: 55569
negative_passages.text: Why is ellipsoidal distance greater than cartesian distance?
negative_passages.docid: 33427
negative_passages.text: Why is Euclidean distance not a good metric in high dimensions?
negative_passages.docid: 105865
negative_passages.text: The twin paradox and positively curved space