M33, the Triangulum Galaxy, Adorning the Faces of a Pentagonal Icositetrahedron

M33, the Triangulum Galaxy, Adorning the Faces of a Pentagonal Icositetrahedron

Evidence suggests that M33 is a satellite galaxy of the even better-known Andromeda Galaxy (M31), which happens to be on a collision course with our own Milky Way. In 1.5 billion years or so, Andromeda and the Milky Way will merge to form a giant elliptical galaxy already pre-named Milkomeda. At that point, the Triangulum Galaxy may become a satellite of Milkomeda (probably one of several), or be gravitationally ejected, or simply be absorbed into Milkomeda itself.

Here, it is projected on each face of the Catalan solid which is dual to the snub cube, using software you can try at http://www.software3d.com/Stella.php.

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98-Faced Polyhedron Featuring Heptagons

98-Faced Polyhedron Featuring Heptagons

There are, as faces, 24 irregular heptagons, 6 irregular octagons of one type, and 12 of another, 24 rectangles of one type, and 24 of another, and 8 equilateral triangles. This was made using Stella 4d, which you may try or buy at http://www.software3d.com/Stella.php.

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42-Faced Polyhedron Featuring Heptagons

42-Faced Polyhedron Featuring Heptagons

The blue faces are irregular heptagons, and are twenty-four in number. There are twelve of the green rhombi, and six of the red squares. This was made using Stella 4d, which you may try or buy at http://www.software3d.com/Stella.php.

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I Started with Eight.

I Started with Eight.

Eight led to this.

If you think about eight long enough, you will understand.

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Newsflash: Big Snake On the Loose in Texas

Newsflash:  Big Snake On the Loose in Texas

This just in from Longview, Texas — a five meter (~16 foot) Burmese Python is on the loose.

If you see it, do not approach.

Retreat and dial 911.

No kidding.

Also: learn the metric system.

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Circumslices

Circumslices

Regions between close-packed circles of equal radius resemble triangles, but with 120 degree arcs replacing the sides. Since these regions are the only things left of a plane after all such circles are sliced out, I’ve decided to name them “circumsclices.”

Why? Because they needed a name, that’s why!

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Rotating Rhombic Dodecahedron with Rotating Tessellations On Its Faces

Rotating Rhombic Dodecahedron with Rotating Tessellations On Its Faces

Several recent posts here have been of tessellations I have made using Geometer’s Sketchpad and MS-Paint. To create this rotating polyhedron, I selected one of these tessellations, and projected it onto each face of a rhombic dodecahedron, using another program called Stella 4d. Unlike in the last, similar post, though, I set these tessellation-images to keep their orientation, from the point of view of a stationary observer watching the entire polyhedron rotate, from a distance. Since the polyhedron itself is rotating, this creates a rotation-effect for the tessellation-image on each face.

You can try Stella 4d for yourself, right here, for free: http://www.software3d.com.stella.php.

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