Another Octagon-Tessellation

Posted on 3 November 2018 by RobertLovesPi

octagons tiling a plane again

I’ve lost count of how many tessellations of octagons have appeared here. This might be the fifth one.

Another Tessellation of Octagons

Posted on 3 February 2018 by RobertLovesPi

Several tessellations of octagons have been published in this space in the past. Here’s the latest in this occasional series.

another octagon tessellation

Two Polyhedra, Each Featuring Enneagons and Octagons

Posted on 14 May 2017 by RobertLovesPi

octagons and enneagons
enneagons and octagons

I used Stella 4d: Polyhedron Navigator to make these. You can try it for yourself at http://www.software3d.com/Stella.php.

Octagons Can Tile a Plane III

Posted on 2 January 2016 by RobertLovesPi

Unlike my previous octagon-tiling discoveries (see previous post), this is a chiral, radial tessellation, with the colors chosen to highlight that fact.

tessoct radial

Octagons Can Tile a Plane II

Posted on 2 January 2016 by RobertLovesPi

In April 2014, I found a tessellation of the plane which uses two kinds of octagons — both types equilateral, but only one type regular.

Now, I have found two more ways to tessellate a plane with octagons, and these octagons are also equilateral. However, in these new tessellations, only one type of octagon is used. One of them appears below, twice (the second time is with reversed colors), and the other one appears, once, in the next post.

tessoct

tessoct 2

A Dozen Octagonal Mandalas, Rotating in the Dark

Posted on 3 May 2015 by RobertLovesPi

To create the octagonal mandalas, I used Geometer’s Sketchpad and MS-Paint. I then projected them onto the faces of an all-but invisible dodecahedron, and created this rotating .gif image of it, using Stella 4d: Polyhedron Navigator, software you can try for free, right here.