These octagrams were rotated about the center point. Every other one is yellow, and between the yellow ones are blue ones. The green areas are where the blue and yellow octagrams coincide.
This is a modification of the well-known tessellation of the plane with squares and regular octagons.
To make this zonohedron with Stella 4d (available as a free trial download here), start with a dodecahedron, and then perform a zonohedrification based on both faces and vertices. It is similar to the rhombic enneacontahedron, with thirty equilateral octagons replacing the thirty narrow rhombic faces of that polyhedron.
I’ve run into this polyhedron from time to time, and I’ve also had students make it. It is the largest zonohedron which can be built using only red and yellow Zome (available here). I thought it needed a name, so I made one up.
I’ve lost count of how many tessellations of octagons have appeared here. This might be the fifth one.
Several tessellations of octagons have been published in this space in the past. Here’s the latest in this occasional series.
I used Stella 4d: Polyhedron Navigator to make these. You can try it for yourself at http://www.software3d.com/Stella.php.
Unlike my previous octagon-tiling discoveries (see previous post), this is a chiral, radial tessellation, with the colors chosen to highlight that fact.