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High School
By
Shiva Kintali
on Aug. 28, 2013 | Updated Jan. 4, 2018
7 points inside a hexagon
Consider a hexagon \(H\) with side length 1. Given any 7 points inside \(H\), show that at least two points are separated by a distance of at most 1.
Puzzles
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geometry puzzle
pigeonhole principle
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High School
By
Shiva Kintali
on Aug. 20, 2013 | Updated Jan. 4, 2018
Bug in a cube
A bug is sitting in one corner of a cube-shaped room. What is the shortest path to go to the extreme opposite corner (i.e., the corner that is farthest) ?
Puzzles
Puzzles
geometry puzzle
interview question
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High School
By
Shiva Kintali
on May 7, 2014 | Updated Jan. 4, 2018
Quarter past three
How many degrees are there in the angle between the hour and minute of a clock when the time is a quarter past three ?
Mathematics
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Puzzles
geometry puzzle
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High School
By
Shiva Kintali
on June 1, 2013 | Updated Dec. 6, 2017
Connect nine dots
Draw nine dots (in 3 rows and 3 columns, equally spaced) as shown in the figure. Your task is to connect all the dots by four straight lines. The next line has to start where the previous line ended. …
Puzzles
Puzzles
geometry puzzle
interview question
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Undergraduate
By
Shiva Kintali
on Sept. 28, 2013 | Updated Jan. 4, 2018
Ramsey points
Let \(P\) be a set of \(n\) points in the plane, such that each 4-tuple forms a convex 4-gon. Then \(P\) forms a convex n-gon. Let \(P\) be a set of five points in the plane, with no three points c…
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