• Which mathematician was killed in a duel?

• Which one published books, yet did not exist?

• Which one was crowned Pope?

• Who were Dr Mirabilis and Dr Profundus?

• Who learned calculus from her nursery wallpaper?

• Who was excited by a taxicab number?

• Who measured the chests of 5732 Scottish soldiers?

A farmer has a pair of baby rabbits. Rabbits take two months

to reach maturity and then give birth to another pair each

month. How many pairs of rabbits are there after a year?

Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …,

Fibonacci sequence:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …

Golden number: 1.618...

Problem 3: Given two polyhedra with the same

volume, can we always cut the first into finitely

many pieces that can then be reassembled to

give the second?

Problem 18: What is the most efficient way to

stack spheres so that the amount of empty space

between them is as small as possible?