This symmetrohedron has the six regular octagons, eight regular hexagons, and twelve squares of its “parent,” the great rhombicuboctahedron. It was modified by using the “morph duals at 50% by tilting to rectify” function, twice. This left the resulting polyhedron with additional faces: 72 trapezoids (24 each, of three types), and 48 scalene triangles. That’s 146 faces in all. I made it using Stella 4d, which you can try for yourself, free, at http://www.software3d.com/Stella.php.
This symmetrohedron has the twelve regular decagons, twenty regular hexagons, and thirty squares of its “parent,” the great rhombicosidodecahedron. It was modified by using the “morph duals at 50% by tilting to rectify” function, twice. This left the resulting polyhedron with additional faces: 180 trapezoids (60 each, of three types), and 120 scalene triangles. That’s 362 faces in all. I made it using Stella 4d, which you can try for yourself, free, at http://www.software3d.com/Stella.php.
This is a compound of left- and right-handed versions of the chiral Catalan solid known as the pentagonal hexecontahedron, which is the dual of the snub dodecahedron. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
This is a compound of left- and right-handed versions of the chiral Catalan solid known as the pentagonal icositetrahedron, which is the dual of the snub cube. I made it using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
I made this using Stella 4d, a program you can try for free at http://www.software3d.com/Stella.php.
I made this using Stella 4d, which you can try for free at http://www.software3d.com/Stella.php.
The first solid below is the sixth stellation of the triakis octahedron, one of the Catalan solids. It’s also a compound of three square trapezohedra.
The next solid is the 8th stellation of the triakis octahedron, and it’s also a four-part compound of partial cubes.
Finally, here’s the 18th stellation of the triakis octahedron, which is also a compound of six square-based pyramids.
The image above has faces colored by number of sides, while the one below is in “rainbow color mode.” I made these using Stella 4d, which you may try for free at http://www.software3d.com/Stella.php.
I made this by faceting a great rhombicuboctahedron, using Stella 4d, a program you may try for free at this website: http://www.software3d.com/Stella.php.
This polyhedron has fourteen regular faces: six squares, and eight hexagons. Its irregular faces include twelve rhombi, 24 obtuse isosceles triangles, and 48 acute scalene triangles, for a total of 98 faces. It has cuboctahedral symmetry. I made it using Stella 4d, a program you may try for free at http://www.software3d.com/Stella.php. The first image shown here has the faces colored by face type, while the second image shows what it looks like in “rainbow color mode.”
Here’s a third one, with the faces colored by number of sides.
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