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Here we can discuss and explore the "Slicing the Cake" problem. Take a circle and put EQN:n points on its circumference. Join them all with straight lines. How many pieces can you get? The points don't need to be equally spaced - what's the largest number of pieces? | Points | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | ... | | Pieces | 1 | 2 | 4 | 8 | 16 | . | . | . | . | 256 | ... | * What is the formula? ** Warning - it's not what you think! * How can you tell? ---- This is one of the many Enrichment tasks on this site. ---- CategoryMaths