Unknown's avatar

About RobertLovesPi

I go by RobertLovesPi on-line, and am interested in many things, a large portion of which are geometrical. Welcome to my own little slice of the Internet. The viewpoints and opinions expressed on this website are my own. They should not be confused with those of my employer, nor any other organization, nor institution, of any kind.

A Polyhedron Featuring 42 Regular Decagons

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

 

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

radiation-2

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

A Compound of Two Stellated Polyhedra

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

The Complete List of Things to Like about Donald Trump

Image

trump

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

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.

23 Polyhedra with Icosidodecahedral Symmetry

I made these using Stella 4d, which you may try for free right here.

Cheer Up, America! It Could Be Worse!

Image

cheer-up-america

Six Circles

Image

six-circles