Extra / Supplementary Mathematics
Curious ideas beyond the syllabus, grouped by theme.
Golden Ratio and the Fibonacci SequenceCount a sunflower's seed spirals and you often get 34 and 55. They come from the Fibonacci sequence, whose ratios settle on the golden ratio, 1.618…Patterns in nature · Mathematics · simulation
Pascal's Triangle and Number PatternsOne simple rule builds a triangle full of patterns: powers of 2, triangular numbers, Fibonacci and more. And India wrote it down centuries before Pascal.Number patterns · Mathematics · simulation
Why 0.999… Equals 10.999… with the 9s never stopping is exactly 1, not "a little less". Three short proofs show why.Numbers and infinity · Mathematics
Why Division by Zero Is UndefinedA calculator says ERROR for 12 ÷ 0 because no number times 0 gives 12. It is not infinity either.Numbers and infinity · MathematicsNo topic matches. Try a shorter word.