This week’s Fiddler is about the number 2025, in celebration of (almost) New Years! First puzzle: What is the greatest number of distinct primes that add up to 2025? Second puzzle: How can you assign a set of 20 distinct prime numbers to the 20 vertices of a dodecahedron, so that the numbers on the … Continue reading "2025 puzzle" The post 2025 puzzle first appeared on Book Proofs.| Book Proofs
This week’s Fiddler is about tiling a square with smaller squares. Suppose you have infinitely many 3-by-3 cm tiles and infinitely many 5-by-5 cm tiles. You want to use some of these tiles to precisely cover a square whose side length is a whole number of centimeters. Tiles may not overlap, and they must completely … Continue reading "Tiling squares" The post Tiling squares first appeared on Book Proofs.| Book Proofs