Hello, revolution!

We do not have equilateral triangles . . .

You have a regular pentagram.

At its centre is a naturally occuring pentagon.

Then, of course, the five *equilateral* (?) triangles around that. . . . . no Code:

P
*
/ \
/ \
A / 72°\ B
T o - - - o - - - o - - - o Q
\ / 108°\ /
\ / \ /
\ / \ /
E o o C
\ /

The pentagon is

The "tips" of the pentagrm are:

An interior angle of a regular pentagon is 108°:

. .

Hence: .

Therefore: .

Those triangles are **isosceles**.

It can be shown that the Golden Mean

. . is deeply embedded in this diagram.

For example: .