TED-Ed: Can you solve the Alice in Wonderland riddle? | Alex Gendler

Alice finds herself in the Queen of Hearts' court, where she overhears a puzzling argument about numbers. The Queen claims 64 is the same as 65, using a deceptive chessboard trick. Alice uses her geometry knowledge to uncover the trick, revealing a gap between shapes. The video explores Fibonacci numbers and their properties, showing how they can create deceptive slopes. The Queen's trick is based on these mathematical principles, but Alice's understanding helps her see through the illusion.

What does the Queen of Hearts claim about the numbers 64 and 65?

• They are both prime numbers.

• 64 is greater than 65.

• 65 is a multiple of 64.

• 64 is the same as 65.

What does Alice notice about the soldiers' arrangement on the chessboards?

• The soldiers change size when moving between boards.

• The soldiers form a perfect square on both boards.

• The soldiers' arrangement creates a gap.

• The soldiers are all triangles.

How does Alice determine the Queen's trick with the soldiers?

• By measuring the soldiers' heights.

• By calculating the slopes of the diagonal sides.

• By counting the number of soldiers.

• By rearranging the soldiers herself.

What mathematical series does Alice connect to the Queen's trick?

• The geometric series.

• The Fibonacci series.

• The arithmetic series.

• The prime numbers series.

What property of Fibonacci numbers is used to create deceptive slopes?

• Their prime factorization.

• Their ability to form perfect squares.

• Their convergence to the golden ratio.

• Their even distribution.