In “Hour Power” I looked at my favorite fractal, the hourglass fractal:

The hourglass fractal

I showed three ways to create the fractal. Next, in “Hour Re-Powered”, I showed a fourth way. Now here’s a fifth (previously shown in “Tri Again”).

This is a rep-4 isosceles right triangle:

Rep-4 isosceles right triangle

If you divide and discard one of the four sub-triangles, then adjust one of the three remaining sub-triangles, then keep on dividing-and-discarding (and adjusting), you can create a certain fractal — the hourglass fractal:

Triangle to hourglass #1

Triangle to hourglass #2

Triangle to hourglass #3

Triangle to hourglass #4

Triangle to hourglass #5

Triangle to hourglass #6

Triangle to hourglass #7

Triangle to hourglass #8

Triangle to hourglass #9

Triangle to hourglass #10

Triangle to hourglass (anim) (open in new tab to see full-sized version)

And here is a zoomed version:

Triangle to hourglass (large)

Triangle to hourglass (large) (anim)