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Is there 3d equivalent to the fibonacci sequence? I see pictures of the golden spiral and was wondering if there was a similar kind of sequence that would fill up 3 dimensional space. I was looking at the Romanesco broccoli, which is a 3d shape, but you can only see the spiral from looking at it in a particular way.

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    $\begingroup$ Is the Fibonacci sequence 2D.? $\endgroup$ – Nosrati Apr 30 '17 at 4:49
  • $\begingroup$ Golden dragon fractal is what the OP is talking about . . . I think. $\endgroup$ – Chickenmancer Apr 30 '17 at 7:06
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    $\begingroup$ I think OP is talking about this en.m.wikipedia.org/wiki/Golden_spiral $\endgroup$ – Somnium Apr 30 '17 at 10:17
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The Padovan sequence has a 3-D analogue that fills the space with prisms that grow in linear dimension as the sequence. That's all I remember of the top of my head.

Padovan 3D Tessellation

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