Tag Archives: polyhedra

A Cluster of Seventeen Truncated Cubes with Tetrahedral Symmetry

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A Cluster of Seventeen Truncated Cubes with Tetrahedral Symmetry

Software credit: see Stella 4d, available (including a free trial download) at http://www.software3d.com/Stella.php.

An Octahedron, Augmented with Eight Great Icosahedra, and the Dual of this Augmented Polyhedral Cluster

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An Octahedron, Augmented with Eight Great Icosahedra, and the Dual of this Augmented Polyhedral Cluster

I made these using Stella 4d, which you can try at http://www.software3d.com/Stella.php. Here is its dual, also:

GrIcosadual-Augmented Octa

 

 

An Icosahedron, Augmented with Twenty Great Icosahedra

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An Icosahedron, Augmented with Twenty Great Icosahedra

The picture above uses symmetry to divide the faces of this polyhedral cluster into color groups. This next one puts faces in the same color-group if and only if they are parallel.

icosa Augmented with Great Icosa with parallel faces a color-set

Stellating this once yielded this result, again colored by face-type, like the first image here:

1st stellation of great icosa - augmented icosahedron

I made these using Stella 4d, which you can try at www.software3d.com/Stella.php.

A Gallery of Polyhedra Which Feature Five-Pointed Star-Patterns

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A Gallery of Polyhedra Which Feature Five-Pointed Star-Patterns

The images below may each be enlarged with a single click.

Conjdhfcvex hull dualConvehgdsfx hullConvex fdghullConvex hjgfyullConvex hjgfyull dualConvex nbhull dualConvhgdjyex hullDggual of Convex hullDual jhdfgjfjof Convex hulldual of Stellated Faceted DualFaceted Congfvex hullFaceted Stellated PolyFaceted Stellategggd PolyStellated cxsadfgdDual of Convex hullStellated Faceted DualConvex hull q

I made these using Stella 4d, which you can find at http://www.software3d.com/Stella.php.

A Gallery of Rainbow-Colored Artwork Inspired By Polyhedra

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Rainbow Artwork Inspired By Polyhedra

The smaller images below may each be enlarged with a single click.

Ytistorsnow and starsFloralConjdgdhfvbcxvcvex hull dualConjdhfvbcxvcvex hull dualConvex hjgfyull dual rvConvehhggdhgx hull tovrhombi and trapezoidsZonohedrified Dodeca

I made these using Stella 4d, which you can find at http://www.software3d.com/Stella.php.

Two Hollow Hybrids of the Octahedron and the Rhombic Dodecahedron

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Two Hollow Variants of the Octahedron

The smaller one may be enlarged with a single click.

bogfdhggdwtie

I made these using Stella 4d, which you can find at http://www.software3d.com/Stella.php.

Variants of the Rhombic Enneacontahedron

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Variations of the Rhombic Enneacontahedron

The first variation is above, and the real thing, for comparison, is below. Smaller pictures here can be enlarged with a click.

Zonohedrified Dodeca

Here are two more variants:

Dual of Convex hullcbvcb

I made these using Stella 4d, which you can find at http://www.software3d.com/Stella.php.

The Compound of the Truncated Dodecahedron and Its Dual, the Triakis Icosahedron

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The Compound of the Truncated Dodecahedron and Its Dual, the Triakis Icosahedron

I made this using Stella 4d, which you can find at http://www.software3d.com/Stella.php.

A Chiral Polyhedron Featuring Sixty Pentagons and Sixty Hexagons, All Irregular

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A Chiral Polyhedron Featuring Sixty Pentagons and Sixty Hexagons, All Irregular

I made this using Stella 4d, which you can find at http://www.software3d.com/Stella.php.

Variations On Decagonal Prisms

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Variations On Decagonal Prisms

Faceted Dualyhbuzzdgtof Convex hullFaceted Dualyhdgtof Convex hullStellahgdjjfjted Conhghjhgfgghvgdfyex hullStellahgdted Conhgghvgdfyex hullStellahgdted Conhghjhgfgghvgdfyex hullStellahgdted Conhjhgfgghvgdfyex hullStellahgdted Convgdfyex hullConvex hullConvex hufsdfjllStellated Convex hullStellated Convgdfyex hullConvex hull

I made these with Stella 4d, a program you can find at http://www.software3d.com/Stella.php.