The Legend of the Chessboard
An Indian king offered a reward to the inventor of chess. The inventor asked for rice: one grain on the first square, two on the second, four on the third, doubling each time for all 64 squares. The king laughed at such a modest request. Then someone did the math.
Square 1: 1 grain. Square 10: 512. Square 20: about 524,000. Square 30: about 537 million. Square 40: about 550 billion. Square 64: about 9.2 quintillion (9.2 times 10 to the 18th). The total across all 64 squares is about 18.4 quintillion grains, roughly 1,000 years of global rice production.
Why the Second Half Explodes
The first 32 squares total about 4.3 billion grains. The last 32 squares total about 18.4 quintillion. The second half contains roughly 4.3 billion times more rice than the first half. Same rule (double each time), but the later squares produce incomprehensibly larger numbers. Each doubling adds more than everything that came before it combined.
Compound Interest Is a Slower Chessboard
The chessboard doubles every square (100% growth). Compound interest grows by a few percent per year. The speed differs, but the structure is identical. At 7% annual return, your money doubles roughly every 10 years. Think of each decade as one square. After 2 squares (20 years): 4x. After 3 squares (30 years): 8x. After 4 squares (40 years): 16x. The first square is boring. The fourth square is where the magic happens. A math puzzle book is full of mind-bending examples like this.
Surviving the Boring First Half
The most important lesson from the chessboard is that the first half looks unimpressive. After 10 squares, you have just 1,023 grains total. But without those 1,023 grains, the 9.2 quintillion on square 64 could never exist. Investing feels the same way. Watching $100,000 grow to $200,000 over a decade seems slow. But that $200,000 is the foundation for $400,000, then $800,000, then $1.6 million. Only those who endure the boring first half get to experience the explosive second half.