approximating the infinite
###### The depth of the blocks varies by slightly less than an inch, and represents the digits beginning where TWO APPROXIMATIONS OF π ends.

TWO APPROXIMATIONS OF π puts memory side-by-side with deductive reasoning.

π (as always, from memory) is represented by the shape of each block of color.

The ratio 355/113, which is an approximation of π (accurate to seven digits), is represented in the color. I "deduced" this value using mental arithmetic. The value of the ratio repeats after 112 digits; since I chose a canvas width of 56 inches, the numbers repeat every two rows, forming vertical bands of color. Each number and the one below it always add up to '9'.

The color each number is mapped to is based on personal interpretation: for example, three feels olive green to me.

The painting is a means of making the formal differences between memory and deduction. The basic differences between a non-repeating number, painted from memory, and a ratio determine the visual qualities of the painting.

THREE APPROXIMATIONS OF π adds a third dimension: a version of π I have deliberately altered to make more aesthetic.