Selections from the Stellation-Series of the Strombic Icositetrahedron, Including Some Polyhedral Compounds

The strombic icositetrahedron is the dual of the rhombcuboctahedron, and has many interesting polyhedra in its stellation-series. Here are a few of them, starting with the 10th stellation.

10th stellation of Strombic Icositetra

Here’s the strombic icositetrahedron’s 16th stellation:

16th stellation of Strombic Icositetra

And the 19th:

19th stellation of Strombic IcositetraAnd the 21st:

21st stellation of Strombic Icositetra

And the 23rd:

23rd stellation of Strombic Icositetra

And the 25th:

25th stellation of Strombic Icositetra

And the 26th:

26th stellation of Strombic IcositetraNext, the 28th stellation. It isn’t colored as the other stellations above are colored, simply because it is also a compound of six off-center square-based pyramids.

28th stellation of Strombic Icositetra

The 34th stellation is even more interesting. It’s a symmetrical four-part compound, but the component polyhedra have irregular faces, and are much less symmetrical than the compound itself.

34th stellation of Strombic Icositetra

Here is the 37th stellation in this series:

37th stellation of Strombic Icositetra

And the 43rd:

43rd stellation of Strombic Icositetra

And the 44th:

44th stellation of Strombic IcositetraThe 59th stellation in this series is an octahedron, with each face excavated by short, triangle-based pyramids. It can also be seen as a compound of three shortened square-based dipyramids, but coloring it as a compound proved difficult, so it is presented here in rainbow-color mode:

59th stellation of Strombic Icositetra

Here’s the 61st stellation:

61st stellation of Strombic Icositetra

And the 68th:

68th stellation of Strombic Icositetra

And the 71st:

71st stellation of Strombic Icositetra

And the (quite different from the 71st) 72nd stellation:

72nd stellation of Strombic Icositetra

And the 73rd:

73rd stellation of Strombic Icositetra

And, finally, the 74th, which is an interesting two-part compound.

74th stellation of Strombic Icositetra

And the 79th:

79th stellation of Strombic Icositetra

And the 82nd stellation:

82nd stellation of Strombic Icositetra

The last one I’m showing here is the 93rd stellation, another four-part compound.

93rd stellation of Strombic Icositetra

All these images were created using Stella 4d:  Polyhedron Navigator, which you may try for yourself at http://www.software3d.com/Stella.php.

Base/Dual Compound: The Rhombcuboctahedron and the Strombic Icositetrahedron

Image

Base/Dual Compound:  The Rhombcuboctahedron and the Strombic Icositetrahedron

Alternate names for components of this compound are the rhombicuboctahedron and the kited icositetrahedron.

For more information on the software used to produce this image, please visit http://www.software3d.com/stella.php.