# Circus Trix

Here’s a trix, or triangle divided into six smaller triangles:

Trix, or triangle divided into six smaller triangles

Now each sub-triangle becomes a trix in its turn:

Trix stage #2

And again:

Trix #3

Trix #4

Trix #5

Trix divisions (animated)

Now try dividing the trix and discarding sub-triangles, then repeating the process. A fractal appears:

Trix fractal #1

Trix fractal #2

Trix fractal #3

Trix fractal #4

Trix fractal #5

Trix fractal #6

Trix fractal #7

Trix fractal (animated)

But what happens if you delay the discarding, first dividing the trix completely into sub-triangles, then dividing completely again? You get a more attractive and symmetrical fractal, like this:

And it’s easy to convert the triangle into a circle, creating a fractal like this:

Delayed-discard trix fractal converted into circle

Delayed-discard trix fractal to circular fractal (animated)

Now a trix fractal that looks like a hawk-god:

Trix hawk-god #1

Trix hawk-god #2

Trix hawk-god #3

Trix hawk-god #4

Trix hawk-god #5

Trix hawk-god #6

Trix hawk-god #7

Trix hawk-god (animated)

Trix hawk-god converted to circle

Trix hawk-god to circle (animated)

If you delay the discard, you get this:

And here are more delayed-discard trix fractals:

Various circular trix-fractals (animated)

Post-Performative Post-Scriptum

In Latin, circus means “ring, circle” — the English word “circle” is actually from the Latin diminutive circulus, meaning “little circle”.

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