LOGO-L> Off-computer -- on to Logo

Here are two different problems:

1. Given a line that you want to EXTEND to make

a Golden Section.

2. Given a line that you want to DIVIDE into

a Golden Section.

Granted, once you know the magic number (approximately)

1.6180339887499, you can just calculate it.

However, there are geometric constructions to solve

each of these problems.

One construction was found in a dictionary illustration

of the Golden Section (and later in the book titled

"Fascinating Fibonaccis").

The other was found in a Wentworth geometry text

originally copyrighted in 1888.

This was an off-computer exploration but a turtle

graphics drawing can be made to visually verify

that both constructions define the same ratio.

By the way, did you know there is such a thing as

a Golden Triangle?

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