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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.

Daylight Saving Time: The One (and Only) Way the Rest of America Should Be More Like Arizona

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I’m not used to saying that the rest of America should be more like Arizona . . . but my passionate hatred of Daylight Saving Time forces me to agree with them, when the clock-changes remind me of this fact, twice each year.

Five Mandalas

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Yoko Ono Explains How to Change the World

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A Sheryl Crow Quote: “Write About What’s Going On”

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I couldn’t have phrased that any better, myself, so I didn’t try to.

The Five Fictional Characters Who Have Most Strongly Influenced My Life

These five fictional characters have strongly influenced me, and I will always be grateful to the brilliant people who created them. I am presenting them in chronological order — using the time when this influence started, rather than their date of creation.

#1: Snoopy

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When I was very young — before my memory-record begins, actually — I was given Peanuts books. They were simply left in my possession, as far as I know; no explanation was necessary. The antics of Snoopy, in particular, were extremely entertaining to the little-kid version of me. Since I could see Snoopy dancing around, playing baseball, typing, irritating Lucy, etc., I wanted to understand what was actually going on with all this activity — and this provided the necessary motivation for me to teach myself how to read. There wasn’t any other way for me to tell what was going on in these comic strips!

The fact that I learned to read in this manner led to some very funny moments, due to the fact that the number of words whose meaning I understood, generally from context, exceeded the number of words I knew how to pronounce — and, no doubt, still does. Once, in elementary school, I was laughed at by an entire class, after saying something about the “Eeffel Tower” (yes, that’s how I pronounced it). I also remember pronouncing the “b” in “doubt,” much to the amusement of my parents. Even in graduate school, I made a history professor groan in agony when I made a reference to the Weimar Republic — and pronounced the “W” as it is pronounced in English, rather than German.

#2: Mr. Spock

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A scientist aboard a starship, exploring the galaxy, who uses logic to try to understand two things:  the nature of the universe (much of which he understood), and the behavior of illogical humans (something which confuses me to this day, just as it often confounded him). The first person I remember seeing on television had pointed ears, and there were several of them in that episode, “Amok Time.” In other episodes, of course, few Vulcans other than Mr. Spock appeared, and I always found him, to use one of his favorite words, “fascinating.” He influenced me in several ways, and still does, to this day. I am grateful to the creators of this character for inspiring my passion for science, ability to use logic, appreciation of diversity, and strong desire to maintain control of my emotions.

#3: Matt Murdock / Daredevil

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I may not have red hair, but I share many other characteristics with Daredevil — and I mean the character from comic books, not that disappointing B-movie (which deserves no further mention). Other than amplified senses — which I experience (unpleasantly) when I get migraines — Daredevil has no superpowers, yet he faces, and does battle with, super-powered villains, and usually wins. He is also a study in contradictions: a lapsed Catholic, who spends a lot of time dressed in a devil costume; a lawyer, with a second “career” as a costumed vigilante; and a blind man, who nonetheless perceives the world around him more clearly than anyone else. Matt Murdock has inspired me to respect the concept of justice, has influenced me to study what laws I need to understand, and, most importantly, has shown me, by example, how to face down those who would do harm to those I care about — and do it, as Daredevil does, without fear. I have also developed my “never give up” attitude, toward my adversaries (bullies, mostly), with inspiration from this character.

Matt Murdock and I have also had very rocky histories when it comes to romantic relationships. I have (finally) found happiness in this aspect of life, and am writing this next to my beloved, sleeping wife. Unfortunately, the writers of Daredevil, while they will let Matt Murdock enjoy temporary happiness in relationships with women, will never allow him to keep it.

#4: Data

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Data is amazing to me:  a sentient android, and an artificial person. He actually had to go on trial to assert his rights to personhood, and, with the aid of Captain Picard, won the case. He has a lightning-speed calculator, built right in to his positronic brain, which far exceeds the abilities of my own, not-too-shabby mental calculator. I have long had the ambition to gain the ability to reprogram my own brain’s “software,” and have written, on this blog, about how I finally gained that ability, after working on developing it for roughly thirty years. Data, of course, had this ability from the moment he was activated, but, unlike me, he does not have to sleep for it to work.

Despite his claim to experience no emotions, Data often expressed a feeling of being perpetually alone, for there was no one else like him anywhere — until he met his brother, another android, who turned out to be malicious. That feeling of being unlike everyone else is quite familiar to me.

Both Data, and Mr. Spock, display many characteristics of Asperger’s Syndrome, and my study of these two characters helped me figure out that I am, myself, an “Aspie” — our nickname for ourselves.

#5: Calvin

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When I am playing (and, yes, I play a lot, especially with mathematics), and someone asks me why I, an adult, am playing, I have a standard reply: “Because I’m six.” This is a reference to Calvin, who was six years old during the entire ten-year run of Calvin and Hobbes, the best comic strip ever created. I read it from the first day it appeared in newspapers, and have the boxed set of the complete collection of these comic strips only a meter away, as I write this. Calvin is a six-year old prodigy, as one can tell from his expansive vocabulary, but is prone to making social errors, due to a lack of understanding of social conventions — and both of these things mirror my own life. (I grew up, literally, in science laboratories, unsupervised for hours at a time, designing and conducting my own experiments, and that sort of thing simply doesn’t happen without having profound effects on a child’s development — but, then again, why would I want to be normal?) Calvin, like myself, found elementary school boring in the extreme, and so he slipped, frequently, into his own inner life of fantasy. The fact that, being socially isolated (no siblings, and no friends, other than his stuffed tiger), he is usually alone, never stopped Calvin from having fun. Just like Calvin, I can have unlimited fun, in solitude — because I choose to be this way. Some adults lose the child within them, but, thanks to Calvin’s inspiration, that will never happen to me. I’m actually 46 years old now — so I’m pretty sure that, if I was ever going to lose the ability to have fun, it would have happened already.

To those brilliant people who invented these five characters: thank you.

On Divorce and Remarriage

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Rampant Islamophobia At “The Gun Cave” — an Indoor Firing Range in Hot Springs, Arkansas, With an Owner Who Wants Her Range to Be A “Muslim Free Zone”

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When I heard there was a indoor firing range in Hot Springs, Arkansas, only an hour away from me, and that this establishment doesn’t want Muslims there, I looked up their phone number, 1-501-767-9944, and called them. Before accusing them of Islamophobia, and threatening to urge others to boycott the place, I wanted to know if they had changed their policy to something more, well, sane.

The woman I spoke to corrected me, by telling me that her establishment was not banning Muslims, but simply making it known, on the Internet, that Muslims are not welcome there. She asked me, rather than reading all the stuff on the Internet written against her position, to read her statement at http://janmorganmedia.com/2014/09/business-muslim-free-zone/ — and I agreed to do so. Why not read her statement first? I saw no reason not to.

When I read it, I found one of the most shockingly ignorant pieces of writing on the subject of Islam which I have ever encountered. Just for starters, she uses the word “Islamist” in place of the word “Muslim,” an error I have never seen before, even though I have read plenty of disgusting anti-Islamic material. The two words don’t even have definitions which are close to each other!

Here’s a particularly appalling excerpt from the site:  “I view Islam as a theocracy, not a religion. Islam is the union of political, legal, and religious ideologies. In other words, law, religion and state are forged together to form what Muslims refer to as ‘The Nation of Islam.'” (Clearly, even though she claims to have read the Qur’an in its entirety, she has not heard of such things as the long, bloody Iran-Iraq War, fought between two majority-Muslim nations, only one of which — Iran — is, or was then, a theocracy.)

In actuality, many real Muslims (and well-educated non-Muslims, also) know that the Nation of Islam (or NOI, as I call it, for clarity) is a small, non-Islamic religion founded in Detroit, Michigan in 1930 — and that there is absolutely no connection, other than a similarity in the name, between the religion called Islam, which originated in the Middle East, and the very different religion practiced by the NOI. You can find the original religion called Islam (the real one) described right here — https://en.wikipedia.org/wiki/Islam — on Wikipedia, which is an objective source, precisely because anyone can edit it. If, on the other hand, you look at Wikipedia’s corresponding article on the Nation of Islam — at https://en.wikipedia.org/wiki/Nation_of_Islam — you’ll see that Islam, and the NOI, have nothing in common except for a proper noun appropriated, without justification, from a centuries-old religion. The beliefs and practices of Islam, and the NOI, are no more alike than those of, say, Christians and Hindus.

I won’t try to catalog the numerous other mistakes in the post on her website, simply because they are so plentiful, but I do encourage you to look at this appalling website for yourself — just as the woman I spoke to on the phone asked me to do. If nothing else, the numerous writing errors (for example, “Muslims” should always be capitalized, and the writer really needs to use spell-check) should convince you that this place is a hotbed of ignorance.

This place deserves to be boycotted, permanently. They also deserve to go out of business, as all bigots should. They deserve to be “called out” for their ignorance, also, and that’s exactly what I am doing in this blog-post.

Let the boycott begin! Also, please call these people, and tell them what you think of their incredibly misinformed position. Their phone number, again, is 1-501-767-9944. Places like this are not helping the world become what it needs to be — a world where Christians, Muslims, those of other faiths, and the non-religious can coexist peacefully.

[Image credit:  I found the “empty head” image above, online, at http://school.discoveryeducation.com/clipart/images/ani-hello.gif — and believe it to be legal to repost this image. If I am mistaken, however, I will remove it, or pay reasonable royalties, at the request of the image’s owner.]

A Polyhedral Journey, Beginning with a Near-Miss Johnson Solid Featuring Enneagons

When Norman Johnson first found, and named, all the Johnson solids in the latter 1960s, he came across a number of “near-misses” — polyhedra which are almost Johnson solids. If you aren’t familiar with the Johnson solids, you can find a definition of them here. The “near-miss” which is most well-known features regular enneagons (nine-sided polygons):

ennneagonal-faced near-miss

This is the dual of the above polyhedron:

ennneagonal-faced near-miss dual

As with all polyhedra and their duals, a compound can be made of these two polyhedra, and here it is:

ennneagonal-faced near-miss base=dual compound

Finding this polyhedron interesting, I proceeded to use Stella 4d (polyhedron-manipulation software, available at http://www.software3d.com/Stella.php) to make its convex hull.

Convex hull of near-miss base-dual compound

Here, then, is the dual of this convex hull:

dual of Convex hull of near-miss base-dual compound

Stella 4d has a “try to make faces regular” function, and I next used it on the polyhedron immediately above. If this function cannot work, though — because making the faces regular is mathematically impossible — one sometimes gets completely unexpected, and interesting, results. Such was the case here.

attempt no make latest polyhedron have regular faces

Next, I found the dual of this latest polyhedron.

attempt no make latest polyhedron have regular faces's dual

The above polyhedron’s “wrinkled” appearance completely surprised me. The next thing I did to change it, once more, was to create this wrinkled polyhedron’s convex hull. A convex hull of a non-convex polyhedron is simply the smallest convex polyhedron which can contain the non-convex polyhedron, and this process often has interesting results.

Convex hull of wrinkled dual

Next, I created this latest polyhedron’s dual:

dual of Convex hull of wrinkled dual

I then attempted “try to make faces regular” again, and, once more, had unexpected and interesting results:

dual of latest polyhedron

The next step was to take the convex hull of this latest polyhedron. In the result, below, all of the faces are kites — two sets of twenty-four each.

convex hull of last polyhedron with two sets of two dozen kites each

I next stellated this kite-faced polyhedron 33 times, looking for an interesting result, and found this:

33rd stellation of latest polyhedron

This looked like a compound to me, so I told Stella 4d to color it as a compound, if possible, and, sure enough, it worked.

33rd stellation of latest polyhedron colored as a compound

The components of this compound looked like triakis tetrahedra to me. The triakis tetrahedron, shown below, is the dual of the truncated tetrahedron. However, I checked the angle measurement of a face, and the components of the above compound-dual are only close, but not quite, to being the same as the true triakis tetrahedron, which is shown below.

Triakistetra -- ANGLES AREN'T QUITE A MATCH for last polyhedron

This seemed like a logical place to end my latest journey through the world of polyhedra, so I did.

Do Not Drink the Twenty Proof Gasoline!

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We’ve all seen labels like this, stuck to gasoline pumps. While filling up my car’s gas tank earlier today, I felt compelled to take a picture of this familiar label — because I suddenly realized that what this small sign actually means is that the alcohol content of the gasoline being sold (in an area where liquor sales are illegal, no less) might be as much as twenty proof.

Twenty proof gasoline. Twenty proof gasoline! One never thinks of it this way, but it is both mathematically and chemically accurate. There are many different alcohols, but the one people drink for purposes of intoxication, and the one found in this gasoline, are the exact same molecule: C2H5OH. I then realized that the people who design these labels are being sneaky with the wording on purpose, for they don’t put “contains alcohol,” or anything like that, on these stickers found on gas pumps all over the place.

The reason for use of the official, less-familiar chemical term “ethanol” then became both obvious, and horrifying, all at once. Gas pumps must be labeled this way because there are people out there who are so incredibly stupid that they would actually drink gasoline if they knew it contained, well, booze.

What’s more, there is an unwritten assumption in play here, and I think (or at least hope) it is a valid one: anyone sufficiently educated to know that “ethanol” and the “the alcohol people drink to get drunk” are synonyms is also, presumably, smart enough to know better than to drink gasoline. Drinking gasoline would, of course, be dangerous in the extreme. Even inhaling gasoline fumes is hazardous, but drinking the stuff would be far worse. Consuming enough of this ethanol-containing gasoline to actually get drunk would, in fact, very likely be fatal, due to the mixture of toxic hydrocarbons present, in addition to the alcohol. The most toxic component of gasoline with which I am familiar is benzene, a potent carcinogen. Benzene is really nasty stuff, if it somehow makes it into a human body.

So, for the record, do not drink the up-to-twenty-proof gasoline — even though that is an accurate way to describe it.

The Misadventures of Jynx the Kitten, Chapter Three: Jynx Tries To Help Wash the Dishes

The thing is, kittens really aren’t very good at housework — but at least he’s trying, right?

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Of course, he might have been wanting a shower instead. It’s hard to tell what Jynx is thinking sometimes.

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This did cause a delay in the dishes getting done, for we were laughing too hard to load any dishes for quite some time, even after these pictures were taken.

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No kittens were harmed in the making of this blog-post . . . but I will admit that the temptation to close the dishwasher, and then start it, did exist. However, we unanimously decided against it.