Tartaglia's triangle

Tartaglia's triangle main feature is showing the binomial coefficients for the expression (a + b)^n where n is the (n + 1)th row of the triangle. If n was 3 then the 4th row would go 1-3-3-1 so you would have (a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3. If n was 4 then you would have (a + b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4a*b^3 + b^4; and the list goes on.

Tartaglia's triangle also shows a graphic representation of the Fibonacci sequence, but you have to squint your eyes, skew the device and look to the diagonals.

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