
I suspect that this could be continued outward indefinitely, as a radial and aperiodic tessellation, using only the four polygons you see, repeatedly, here. However, I have no proof of this.

I suspect that this could be continued outward indefinitely, as a radial and aperiodic tessellation, using only the four polygons you see, repeatedly, here. However, I have no proof of this.


This tessellation is made entirely of octagons. Half of them are regular, while the other half are equilateral and tetraconcave.


Created with Stella 4d, software you can try and/or buy at http://www.software3d.com/Stella.php.

Created with Stella 4d, software available at http://www.software3d.com/Stella.php.

This is a top-down depiction of the first nine terms of the Fibonacci Sequence: 1, 1, 2, 3, 5, 8, 13, 21, and 34. Since each term is simply the sum of the previous two terms, the next term (and the first one to not be shown here) is 55. The sequence, of course, continues forever . . . but if too much of the sequence is shown in this manner, the top of the tower would become too small to be seen.

Created with software you can try and/or buy at http://www.software3d.com.Stella.php.

Created with software you can try and/or buy at http://www.software3d.com.Stella.php.

Created with software you can try and/or buy at http://www.software3d.com.Stella.php.