A Polyhedral Journey

So I wondered, what would happen if I took rhombic dodecahedra…

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…and then affixed them to the sixty wider faces of a rhombic enneacontahedron?

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Well, it turns out that this is what you get:

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It’s at time like these — urgent situations in recreational mathematics — that I am most glad I bought Stella 4d, the program with which I made these images (and which you can try, for free, at http://www.software3d.com/stella.php). This would have taken months to figure out without the proper software! The next thing that occurred to me was to take the convex hull of the last polyhedron. That’s like draping a sheet around it and then pulling it tight. Here’s the result:

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Stella owes its name, in part, to a complex operation involving extensions of edges into lines, or faces into planes, called stellation. Stellating the above figure gave me something I didn’t like, but stellating it again gave me this:

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And then, after six more stellations, I arrived at the end of this particular polyhedral journey.

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On Loving Christmas But Hating Xmas

I may have heard the objection a thousand times, living here in Arkansas:  “They’re trying to ‘X’ out the ‘Christ’ from ‘Christmas!'”

Such people have apparently never heard of one of the most ancient Christian symbols in existence (and still in heavy use):

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Chi and rho are the first two letters one uses to spell “Christ” in Greek, the original language of most of the New Testament. It makes much more sense to interpret the “X” in “Xmas” as a reference to Christ, through the “chi” in the “Chi Rho” symbol, rather than some insidious plot to eliminate Christ from this holiday — a holiday with a history that, as many people know, predates Christ by centuries, anyway.

Of course, those people who object to “Xmas” don’t know about the Greek letter chi, or the fact that it looks just like an “X,” as used in English, or that the two letters represent very different sounds. There’s no shame in simple ignorance, curable as it is by education. However, I would wager that most of those who object to “Xmas” also do not want to know these things, either, and in that, there is shame. Not wanting one’s own ignorance to be replaced by knowledge is an excellent definition for stupidity.

Six Christopher Hitchens Quotes

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All found in The Quotable Hitchens (2011).

Sam Harris Meme Collection

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George W. Bush and Ted Bundy

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If you aren’t certain who racked up the higher body count, just ask anyone from Iraq.

Polyhedral Helix

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This helix is made of metabidiminished rhombicosidodecahedra, and was made using software you can try here.

Also, at this page on this blog, you can see a rotating version of a longer length of this same helix.

My Choices for Ten Ethical Principles

I may not do this better than Christopher Hitchens, but I contend I have done it better than Exodus.

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An Alternate Map of the USA

According to this map, I live in Little, Oklahoma.  I work in Rock, Louisiana, not far away. I buy most of my Chinese food (>50% of what I eat) a few kilometers to the North, in the former North Little Rock, now renamed Argenta, Missouri.

It was fun partitioning the state I live in (using the Arkansas River, and “Tornado Alley,” also known as Interstate 30, to do it), and otherwise playing around with the map of the country and continent where I live.

By the way, I actually do believe that if the USA ever falls apart, Soviet-Union-style, Texas really would be the only former state to give itself a subtitle.

I just sold an indulgence.

The going rate is $2, via PayPal to robertlovespi@yahoo.com.

The buyer wanted an indulgence re: sloth, and was given a virtual “get out of purgatory free” card for anything having to do with sloth.

If you need an indulgence, just let me know. The Vatican’s started this practice back up again — why shouldn’t I get in on the action?

Mandala for the Number 45

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Mandala for the Number 45