query: How to prove connecting 3 dots to three squares without overlap is impossible?
positive_passages.docid: 43930
positive_passages.text: 3 Utilities | 3 Houses puzzle?
negative_passages.docid: 116153
negative_passages.text: The Notorious Triangle Problem
negative_passages.docid: 109767
negative_passages.text: Prove that three points are enough to draw/define one and only one circle
negative_passages.docid: 12732
negative_passages.text: Do any (non-trivial) 2-chains of Pythagorean triplets exist?
negative_passages.docid: 141101
negative_passages.text: Russia (2000) contest:Prove the existence of a pair of rows and columns with intersections differently coloured
negative_passages.docid: 22767
negative_passages.text: How to prove $3^\pi>\pi^3$ using algebra or geometry?
negative_passages.docid: 130851
negative_passages.text: Squaring the plane, with consecutive integer squares. And a related arrangement
negative_passages.docid: 140364
negative_passages.text: Covering ten dots on a table with ten equal-sized coins: explanation of proof
negative_passages.docid: 59644
negative_passages.text: Proof of Cartesian product intersection
negative_passages.docid: 145181
negative_passages.text: How can I prove the maximum number of edges?
negative_passages.docid: 113344
negative_passages.text: How do we prove that something is unprovable?
negative_passages.docid: 59419
negative_passages.text: Crafty solutions to the following limit
negative_passages.docid: 82327
negative_passages.text: Tiling a $3 \times 2n$ rectangle with dominoes
negative_passages.docid: 126424
negative_passages.text: The square of minimum area with three vertices on a parabola
negative_passages.docid: 24477
negative_passages.text: Monochromatic squares in a colored plane
negative_passages.docid: 377
negative_passages.text: Problem involving many squares and several variables.
negative_passages.docid: 83449
negative_passages.text: Proof with 3D vectors