Tag Archives: chiral

A Chiral Polyhedron with Tetrahedral Symmetry

The yellow faces of this polyhedron are parallelograms, while the red ones are trapezoids. To demonstrate its chirality, here is the compound of it, and its own mirror-image. Both of these “virtual polyhedra” were made using Stella 4d: Polyhedron Navigator, … Continue reading

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A Second Coloring-Scheme for the Chiral Tetrated Dodecahedron

For detailed information on this newly-discovered polyhedron, which is near (or possibly in) the “fuzzy” border-zone between the “near-misses” (irregularities real, but not visually apparent) and “near-near-misses” (irregularities barely visible, but there they are) to the Johnson solids, please see … Continue reading

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The Chiral Tetrated Dodecahedron: A New Near-Miss?

The images above show a new near-miss (to the Johnson solids) candidate I just found using Stella 4d, software you can try here. Like the original tetrated dodecahedron (a recognized near-miss shown at left, below), making this polyhedron relies on … Continue reading

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Standard and Faceted Versions, Side by Side, of Each of the Thirteen Archimedean Solids

These two polyhedra are the truncated tetrahedron on the left, plus at least one faceted version of that same Archimedean solid on the right. As you can see, in each case, the figures have the same set of vertices — … Continue reading

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Eight Chiral Polyhedra with Icosidodecahedral Symmetry

To see a larger version of any rotating model, simply click on it. Each of these polyhedral images was created using a program called Stella 4d, which is available here.

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47 Polyhedra with Tetrahedral Symmetry, Some of Them Chiral

To enlarge any individual image, simply click on it. These polyhedral images were created using Stella 4d: Polyhedron Navigator, a program you can find at http://www.software3d.com/Stella.php, with a free trial download available.

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Tessellation Featuring Regular Pentagons and Regular Pentadecagons

Other polygons included in this tessellation include several types of rhombi, as well as triconcave octadecagons. The pattern is chiral, but the chirality is subtle. (Hint: look near the pentagons.)

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