CHARLIE I'm not sure an Error Correcting Code is gonna get you there -- (off tense looks) -- That is what you're using, right? AMITA ...And have been for weeks.

When the Voyager spacecraft took pictures of Saturn and Jupiter, they used Golay code to encode the data for transmission. Each 24-bit block of data could have up to three errors, and
the computers here on Earth could fix these errors. The Golay code is thus an error-correcting code. It was
originally published in 1949 with Marcel Golay's half-page paper, "Notes on Digital Coding." Today, this
paper is considered one of the most remarkable papers ever published, with deep, deep connections to group theory, graph theory, number theory, combinatorics, game theory, multidimensional geometry, and even
particle physics.

NIKKI (slides a statement across) Bank statements don't lie -- EMERSON I have 511,108 dollars and 23 cents. Tomorrow it'll be 511,114 dollars and 17 cents. Compounded daily. At our preferred introductory rate.

Compound interest tables are useful for
looking up interest compounded at various rates.

Charlie eyes the box: "QUANTITY: 150" In his palm are the 3 paper clips he plucked out. CHARLIE What's 364 squared? EMERSON 132,496. CHARLIE The square root of 7? EMERSON 2.645751311106 --

A book of mathematical tables will contain listings for some of the functions listed in this Demonstration. For
example, tables of square numbers
and cubic numbers are included. If
you are curious to find out more about a particular sequence, put a list of the first few terms into the The On-Line Encyclopedia of Integer Sequences,
or take a look at the corresponding *MathWorld* link.

AMITA You mentioned Fractal Analysis...? Charlie holds her look, the fence-mending begins... CHARLIE It came to me staring at a poster of a drip painting on Emerson's wall... how he sees the world -- whether in an abstract painting, or a barcode, or in the way he arranges seemingly random clutter in his apartment -- LARRY -- it's all part of a larger design, a fractal pattern... AMITA ...shapes repeating within the same object -- like a snowflake.

Fractal curves can be generated from an initial
curve (often a regular polygon) and one or more replacement curves. Repeatedly, each line is replaced by a properly
scaled copy of one of the replacement curves. The buttons show the first iteration of the replacement curve used. The
fractal illustrated above is known as the Koch
snowflake.