ZipCode Census Dashboard

The ZipCode Census Dashboard is a flash application that displays U.S. census statistics.

Liquid Journey

An interesting website that has some nice mathematical, chaotic animations using flash.

Proof Without Words

1³ + 2³ + … + n³ = (1 + 2 … + n)².
Mathematically, $\sum_{i=1}^{n} i^3 = (\sum_{i=1}^{n} i)^2$.

Proof Without Words

Area(Parallelogram) = ad - bc.

Proof Without Words

Law of Cosines: $\a^2 +b^2 - 2ab\cos\theta = c^2$.

Proof Without Words

1 + 4 + 9 + … + n² = n(n + 1)(2n + 1)/6.
Mathematically, $\sum_{i=1}^{n} i^2 = \frac{n(n+1)(2n+1)}{6}$.

Proof Without Words

$AB + AX = AD$.

Proof Without Words

Pythagorean Theorem: For a right triangle with legs a and b and hypotenuse c,
$a^2 + b^2 = c^2$.

Proof Without Words

The area of a regular dodecagon is 3R².

Proof Without Words

1/4 + (1/4)² + (1/4)³ + … = 1/3.
Mathematically, $\sum_{i=1}^{\infty} \frac{1}{4^i} = \frac{1}{3}$.

Proof Without Words

1 + 2 + 3 + … n = n(n + 1)/2.
Mathematically, $\sum_{i=1}^{n} i = \frac{n(n+1)}{2}$.

Proof Without Words

The sum of the first n odd numbers is n².
Mathematically, $\sum_{i=1}^{n} (2i - 1) = n^2$.