This week, we have some puzzles for you!
The Solstice Puzzle
The part of the Earth enclosed between the Tropic of Cancer (23.44° North of the Equator) and the Tropic of Capricorn (23.44° South of the Equator) might have the Sun directly overhead at some point during the year. What fraction of the surface of the Earth will never have the Sun directly overhead?
La Scuadra di Milano
Two football players are located in a specific location on a football pitch. Where should a third player be located such that the triangle that is formed between them has a right angle?
Too many airports
A country has $N > 6$ airports and you can take a flight between any pair of airports. Suppose that you want a return ticket from airport A to airport B, going via at most two other airports on each part of the journey. How many combinations of airports are there such that no connecting airport is visited more than once throughout the whole trip?
If you enjoyed these puzzles, you should try our crossnumber! You have until 22 July 2017 to submit an answer. Correct answers might win prizes!
You might also like…
- Read about our least favourite numbers in this collection from issue 5!
- New issue out now! Graphical linear algebra, slide rules and game theory in nature. Plus all your favourite fun pages.
- Win £100 of Maths Gear goodies by solving our famously fiendish crossnumber
- Mathematical fashion advice for an ever-changing world
- Prof. Dirichlet tackles political arguments and werewolves in answering your personal problems
- Solve the puzzles that appeared in Issue 05.