# Dissing the Diamond

In “Fractangular Frolics” I looked at how you could create fractals by choosing lines from a dissected equilateral or isosceles right triangle. Now I want to look at fractals created from the lines of a dissected diamond, as here:

Lines in a dissected diamond

Let’s start by creating one of the most famous fractals of all, the Sierpiński triangle:

Sierpiński triangle stage 1

Sierpiński triangle #2

Sierpiński triangle #3

Sierpiński triangle #4

Sierpiński triangle #5

Sierpiński triangle #6

Sierpiński triangle #7

Sierpiński triangle #8

Sierpiński triangle #9

Sierpiński triangle #10

Sierpiński triangle (animated)

However, you can get an infinite number of Sierpiński triangles with three lines from the diamond:

Sierpińfinity #1

Sierpińfinity #2

Sierpińfinity #3

Sierpińfinity #4

Sierpińfinity #5

Sierpińfinity #6

Sierpińfinity #7

Sierpińfinity #8

Sierpińfinity #9

Sierpińfinity #10

Sierpińfinity (animated)

Here are some more fractals created from three lines of the dissected diamond (sometimes the fractals are rotated to looked better):

And in these fractals one or more of the lines are flipped to create the next stage of the fractal:

Previously pre-posted:

Fractangular Frolics — fractals created in a similar way

Dissecting the Diamond — fractals from another kind of diamond