A Polyhedron Made of Lightning Bolts and Triskelions

Posted on 21 March 2017 by RobertLovesPi

triskelions and lightning bolts

This was made using Stella 4d: Polyhedron Navigator, a program available here.

Six Zonohedra

Posted on 8 March 2017 by RobertLovesPi

Zonohedra are a subset of polyhedra. In a zonohedron, all the faces are zonogons. A zonogon is a polygon with an even number of sides, as well as having opposite sides both congruent and parallel. This small collection of rotating zonohedra was made using Stella 4d, a program you can try for yourself at this website.

Also, if you want to see a larger version of any one of these zonohedra, simply click on it.

194 faced zonohedron with 6 hexadecagons 36 octagons 32 hexagon 120 rhombi colored by number of sides per face

Zonohedron 170 faces colored by number of faces

A Polyhedron Featuring 42 Regular Decagons

Posted on 4 March 2017 by RobertLovesPi

42-regular-decagons-60-each-of-two-types-of-trapezoid-and-20-triangles

In addition to the 42 regular decagons, the faces of this polyhedron include twenty equilateral triangles, sixty yellow trapezoids, and sixty blue trapezoids. That’s 182 faces in all.

The next picture shows what happens if all of the decagons have the same color, the triangles have another, and the trapezoids are hidden from view.

42-regular-decagons-60-each-of-two-types-of-trapezoid-and-20-triangles-reg-only-visible

Both images were created using Stella 4d, software you can try for yourself at this website.

Pluto and Charon, Adorning an Icosidodecahedron

Posted on 25 February 2017 by RobertLovesPi

icosidodeca

Images obtained by NASA’s New Horizons space probe. Geometrical rendering done using Stella 4d, available at http://www.software3d.com/Stella.php.

Polyhedral Radiation Symbol

Posted on 25 February 2017 by RobertLovesPi

radiation-2

Software used: Stella 4d, available at www.software3d.com/Stella.php.

A Compound of Two Stellated Polyhedra

Posted on 18 February 2017 by RobertLovesPi

compound-of-great-and-small-stellated-dodecahedron I made this using Stella 4d, software you can try for free at http://www.software3d.com/Stella.php.

Polyhedron with 152 Faces, Including 60 Heptagons

Image

convex-hull-152-faces-12-pentagons-60-heptagons-60-blue-triangles-20-green-triangles

Zonohedrified Rhombicosidodecahedron with 870 Rhombic Faces

Posted on 3 February 2017 by RobertLovesPi

zonohedrified-rhombicosidodeca-870-faces

Manipulating known polyhedra in the effort to find new ones, as I did here, is made easy with Stella 4d, a program available at this website.

3, 4, 5, 6

Posted on 26 January 2017 by RobertLovesPi

3456

This post’s title is derived from the fact that the faces of the polyhedron above have three, four, five, and six sides. I created it using Stella 4d, which you can try for yourself here.

An Enneacontahedron

Posted on 24 January 2017 by RobertLovesPi

60-hexagons-30-rhombi

Enneacontahedra have ninety faces, and this is but one of many which are possible. I made it with Stella 4d, which you can try for free at this website: http://software3d.com/Stella.php.