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

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

This is the dual of the polyhedron seen as the second image in the last post on this blog. If colored differently, so that only parallel faces have the same color, it looks like this (click to enlarge):

I used Stella 4d to make these images, and you can find that program at http://www.software3d.com/Stella.php.

Pulsating Cuboctahedron, Featuring Enneagrammic Mandalas

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The enneagramic mandalas on the square faces of this cuboctahedron are from the last post, with inverted-color, smaller versions of the same image on the triangular faces. These mandalas were created using Geometer’s Sketchpad and MS-Paint. Projecting them onto the faces of the cuboctahedron, and then creating this rotating, pulsating .gif image, however, took a third program: Stella 4d, which you can buy, or try for free, at http://www.software3d.com/Stella.php.

Ten Enneagrams

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These enneagrams are of the {9/3} variety, which means each one is made of three concentric, equilateral triangles. One of these enneagrams is at the center; the other nine surround it.

Tessellation Using {8/3} Star Octagons and Squares

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The tessellation of the plane which uses regular convex octagons and squares is well-known. This related tessellation, however, is not. I didn’t know it existed until I stumbled across it . . . although I very much doubt I am the first person to do so.

The Sun, On a Trip Through the Electromagnetic Spectrum

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The image above shows the sun’s output of radio waves, which have the longest wavelengths, lowest frequencies, and lowest energies of any part of the electromagnetic spectrum.

This image, above, shows the sun’s microwave output.

Next, infrared:

This next one should be familar. It’s visible light. (Don’t stare at the sun, though.)

Moving on through the spectrum, ultraviolet is next:

After that, x-rays:

And, finally, we arrive at the other side of the spectrum, where the electromagnetic radiation has its shortest wavelengths, and highest frequencies, as well as energy per photon. This is the sun in gamma rays: