The Four Gas Giants on the Faces of a Dodecahedron

These images of Jupiter, Saturn, Uranus, and Neptune were all acquired by NASA. I placed them on this polyhedron, and created this rotating .gif, using Stella 4d, which you can try for free at this website.

Saturnian Rhombic Dodecahedron

Rhombic Dodeca

The image of Saturn was taken by NASA, and I put it on the faces of a rhombic dodecahedron, and created this image, with a program called Stella 4d. You can try this program for free at

Oceans, Further from the Sun


Oceans, Further from the Sun

Since earth’s oceans will be boiled away by the sun’s increasing luminosity, as I mentioned in my last post, we’ll eventually need to find other oceans elsewhere — or learn to do without water, which seems even less likely.

The news today is running a story about a subsurface ocean under Enceladus, a moon of Saturn. Here, in an obviously-photoshopped picture from one of those news stories, it’s shown in an impossible location, next to the U.K., for the purposes of size comparison. In addition to this moon, subsurface water is expected to exist on Titan, another moon of Saturn, as well as three of the four Galilean moons of Jupiter: Europa, Callisto, and Ganymede.

The Jovian system doesn’t get closer than 4.2 AUs from earth, and Saturn’s moons are further out still — but at least our descendants do have other places to go, once our oceans become too hot to stay liquid. They’re expected to be boiled away, by the sun’s increasing luminosity, in ~1.5 billion years.

Rhombic TriacontaSaturn


Rhombic TriacontaSaturn

One of many photographs of Saturn provided by the Cassini spacecraft, and then projected onto the faces of a rhombic triacontahedron with the software available at

Two Saturnian Moons Adorning a Rhombic Dodecahedron


Two Saturnian Moons Adorning a Rhombic Dodecahedron

The larger moon shown, Saturn’s largest, is Titan, recognizable by its hazy atmosphere. The smaller one, which looks more like our own moon, is Rhea.

This image was captured by the Cassini spacecraft, which has been investigating the Saturnian system now for years.

Projecting the images onto the faces of a rhombic dodecahedron was done with Stella 4d, software you may try for free at