Conjoined Small Stellated Dodecahedral Triplets

The central small stellated dodecahedron is augmented on two opposite star-faces by additional small stellated dodecahedra.

Augmented Small Stellated Dodeca

I made this using Stella 4d: Polyhedron Navigator, available at http://www.software3d.com/Stella.php.

A Variant of the Icosidodecahedron Featuring Four Hexagons

tetrahedrally modified icosidodecahedron.gif

This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

A Variant of the Rhombicosidodecahedron Featuring Four Hexagons

Convex hull.gif

This was made using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

A Miscellany of Polyhedra with Icosidodecahedral Symmetry

20 at 5 and 60 at 5 and 20 at 6 and 60 at 7242 faces mostly quadsConvex hull bstarballAll quads 240 facesAugmented DisdyakistriacontaConvex hull with 12 reg icosagonsConvex hulldecagons enneagons bowtie trapezoids stellated several timesDual of Convex hullashgdfasfdual of polyhedron with 12 pentadecagonsDual of Unnamed DualFaceted Dodeca duAL OF FIRST STELLATION OF ICOSAFaceted DodecaFaceted ICOSIDodecaHEDRAL POLYHEDRONStellated Convex hull 2Stellated Convex hullstellated Dual of Convex hullashgdfasfStellated Poly 4Stellated Poly 3.gifZonohedrified Poly.gifUnnamed Dual nc.gifZonohedrified Icosa.gif

All of these polyhedra were made using Stella 4d: Polyhedron Navigator. If you’d like to try this program yourself, simply visit http://www.software3d.com/Stella.php, where a free trial download is available.

Two Facetings of the Truncated Dodecahedron

Faceted Trunc Dodeca

Faceted trunc dodecahedron

I made these using Stella 4d, a program you can try for free at this website.

A Faceted Truncated Icosahedron

Faceted truncated icosahedron

This is one of many possible facetings of the truncated icosahedron. I made it using Stella 4d, which you can try for yourself at this website: http://www.software3d.com/Stella.php.

A Polyhedron Featuring Hexagons, Pentagons, Triangles, and Lots of Quadrilaterals

3456

I made this polyhedron using Stella 4d, a program you can try for yourself at http://www.software3d.com/Stella.php.

A Polyhedron Featuring Icosagons, Kites, and Triangles

12 icosagons

I made this using Stella 4d, which is available at http://www.software3d.com/Stella.php.

Seven Rainbow Polyhedra

These were made using Stella 4d, which may be tried for free at http://www.software3d.com/Stella.php.

Two Polyhedra Featuring Regular Pentadecagons

42.5 vertex angles in yellow triangles

This polyhedron has 92 faces: twelve regular pentadecagons, twenty equilateral triangles, and sixty isosceles triangles, each with a vertex angle of ~42.5°. Its first stellation appears below.

yellow triangle vertex angle is 42p5 degrees stellation 1

Both models were created using Stella 4d, software you can try for yourself at http://www.software3d.com/Stella.php.