I created this image using *Stella 4d*, which you can try for free right here. It’s much like a tessellation, but in three dimensions instead of two.

# Octahedra and Cuboctahedra Can Fill Space Without Leaving Any Gaps

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*Stella 4d*, which you can try for free right here. It’s much like a tessellation, but in three dimensions instead of two.

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

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.

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