Here’s a set of three lines:

Three lines

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Now try replacing each line with a half-sized copy of the original three lines:

Three half-sized copies of the original three lines

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What shape results if you keep on doing that — replacing each line with three half-sized new lines — over and over again? I’m not sure that any human is yet capable of visualizing it, but you can see the shape being created below:

Morphogenesis #3

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Morphogenesis #4

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Morphogenesis #5

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Morphogenesis #6

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Morphogenesis #7

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Morphogenesis #8

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Morphogenesis #9

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Morphogenesis #10

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Morphogenesis #11 — the Hourglass Fractal

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Morphogenesis of the Hourglass Fractal (animated)

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The shape that results is what I call the hourglass fractal. Here’s a second and similar method of creating it:

Hourglass fractal, method #2 stage #1

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Hourglass fractal #2

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Hourglass fractal #3

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Hourglass fractal #4

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Hourglass fractal #5

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Hourglass fractal #6

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Hourglass fractal #7

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Hourglass fractal #8

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Hourglass fractal #9

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Hourglass fractal #10

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Hourglass fractal #11

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Hourglass fractal (animated)

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And below are both methods in one animated gif, where you can see how method #1 produces an hourglass fractal twice as large as the hourglass fractal produced by method #2:

Two routes to the hourglass fractal (animated)

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Elsewhere other-engageable:

• Hour Power
• Hour Re-Powered
• Hour Re-Re-Powered