Icosidodecahedral Polyhedron with Irregular Octagons, Rhombi, and Rectangles, as well as Equilateral Triangles and Regular Pentagons, As Faces

Congfsvex hull

This was created using Stella 4d, available at www.software3d.com/Stella.php.

Icosidodecahedral Polyhedron with Irregular Quadrilaterals and Hexagons As Faces

Uhdsgfnamed

This was created using Stella 4d, available at www.software3d.com/Stella.php.

Important Safety Guidelines from Your Gravity Company, GravCorp, Inc.

floating-people-068

Please read these safety guidelines carefully. Also, we recommend displaying them prominently, securely fastened to the sturdiest wall in your home, in the event that your gravitational service is ever shut off for non-payment of your GravCorp gravity bill.

Because your friends at GravCorp care about you and your family’s safety, GravCorp will never shut your gravity off abrupty, but does so gradually, over the 24-hour period following the end of the shut-off date (prominently printed in red, bold type) on your gravity shut-off notice. It is best to evacuate early during this period. [Tip:  when you notice that you weigh noticeably less than you did the day before, that is your signal to leave.] We are not responsible for anything that happens if you fail to heed this advice, but we do have some safety guidelines to help those who, through no fault of ours, fail to leave their homes in a timely manner.

Once gravity shut-off is complete, if you are still inside your home, follow these safety rules carefully:

1. Be certain to keep moving at all times. Stationary humans have been known to die from lack of oxygen in the absence of gravity, due to the buildup of a spherical cloud of exhaled carbon dioxide, centered in the region of their mouths and noses. If you still have electrical service while your gravity is shut off, however, you can also avoid this danger by turning on all the electric fans in your home, such as the ceiling fan in the picture above. 

2. Should you choose to go outside, exercise extreme caution to avoid serious accidents (most of which are likely to be fatal). If you still have telephone or Internet service, we recommend paying your past due GravCorp account balance (plus the $135 reconnect fee) by phone or Internet, from inside your home.

3. Keep all liquids inside containers, for inhalation of even part of a floating ball of water, or other liquid, can cause death by drowning.  [Tip:  don’t forget to seal all toilets — both bowl and tank — using approved, waterproof sealing methods and materials.]

4. Act quickly to pay your past due bill, plus the $135 reconnect fee, or have a pressure suit on and pressurized, for the air above you is already beginning to escape into space.

5. Remain calm, do not panic, and consider setting up automatic bank drafts to pay your gravity bill, effortlessly, each month. It’s convenient, safe, and saves you money on postage. (An annual $3.14 convenience fee will be charged to your GravCorp account, on or near July 1st each year, for this optional service.)

 

[Image credit:  The picture above was found at http://www.thedistractionnetwork.com/going-to-bed/.]

Do You Like “Like?”

like

A Strombic Hexacontahedron, Augmented with Sixty More Strombic Hexacontahedra

Strombic Hexecontahedra augmented with 60 strombic hexacontahedra

The faces of the strombic hexacontahedron, the dual of the rhombicosidodecahedron, are kites. I have no explanation for why the word “strombic” applies to it — is a kite a “stromb?”

I’ve already googled it, followed many links, etc., and it’s still as puzzling to me as it was the first time I read it. If you have a solution to this puzzle, please post it in a comment.

Software used to create this image:  Stella 4d:  Polyhedron Navigator, available at www.software3d.com/Stella.php.

Another Modest Proposal (with Apologies to Swift)

The day on this planet is 84,600 seconds long. That’s not far from 100,000 — so we could shorten the second a bit, call it something else, and get 100,000 of them each day to create a decimal clock. 100 of these “jiffies” could make a “stretch,” and then 100 “stretches” could make a deciday (the new version of an hour). Ten decidays, of course, make a day, so these neo-hours are pretty long, compared to the hours we’re used to experiencing. This is just practice for making an improved 10-month calendar, of course.

Why go to all this trouble? To get rid of astrology forever, that’s why!

A Twice-Truncated Cube

twice-truncated cube

Truncating a cube once yields an Archimedean solid with six octagonal faces, and eight triangular faces, all regular. A second truncation can be made to produce the solid shown above. It also has, as faces, six regular octagons and eight equilateral triangles — and, in addition, twenty-four isosceles triangles.

I made this using Stella 4d, software you can try for yourself at www.software3d.com/Stella.php.

My Four Favorite Authors

favorite authors

Whenever people ask me to name my favorite author, I always have to ask them to be more specific, for I cannot bring myself to choose just one. If gender is specified, and either fiction or non-fiction is, as well, then I am able to choose a favorite author in each of the resulting four categories.

My two favorite writers of fiction, Flannery O’Connor and Robert A. Heinlein, are shown at the top. Flannery O’Connor was often described as a Southern gothic writer with an excellent ability to describe the grotesque, mostly with short stories, while Robert Heinlein was often called the greatest of all writers in the genre of science fiction. I wish it were possible for them to write even more, but, unlike the two authors described next, they are no longer living.

Shown below O’Connor and Heinlein are my two favorite authors of non-fiction, Jung Chang and Sam Harris. Jung Chang writes about Chinese history, eloquently, from the perspective of someone who actually was a Red Guard during the utterly insane period known as the Chinese Cultural Revolution, as a teenager, but later managed to get out of the People’s Republic — and, crucially, she was also able to mentally escape the powerful cult of personality which surrounded that nation’s leader for over two decades, Chairman Mao Zedong. She has gone on to become one of Mao’s harshest critics.

Sam Harris, a neuroscientist, began his career as an author by writing books criticizing religion, in the wake of the 9/11 terrorist attacks of 2001. He has since moved on to other topics (and writing better books than his earlier work, in my opinion), such as the corrosive effects of lying, the question of the existence or non-existence of free will, and a scientific approach to dealing with issues involving good and evil. He also has a new book coming out in September.

Other than their amazing skill at the difficult craft of writing, these four have little in common . . . but who wants to read the same sort of books all the time? If you aren’t familiar with their work already, I recommend giving each of them a read, and seeing what you think of their books. For one of them, Sam Harris, you can even give some of his writing a try for free, for he maintains a blog you can check out for yourself, at http://www.samharris.org.

For the other three, it isn’t quite that easy to get started, but their books may still be found in any decent public library, or, of course, websites such as Amazon. For O’Connor, the best place to start is with her collected short stories (Amazon link: http://www.amazon.com/The-Complete-Stories-Flannery-OConnor/dp/0374515360/ref=sr_1_2?ie=UTF8&qid=1405366654&sr=8-2&keywords=collected+short+stories+of+flannery+o%27connor). For Jung Chang, I recommend starting with the story of what happened, against the tumultuous backdrop of Chinese history, to her grandmother, mother, and finally herself, in Wild Swans:  Three Daughters of China (see http://www.amazon.com/Wild-Swans-Three-Daughters-China/dp/0743246985/ref=sr_1_1?s=books&ie=UTF8&qid=1405366792&sr=1-1&keywords=wild+swans). Heinlein’s works are numerous, and there are many good starting places to be found. Among the best books with which to start reading Heinlein are Stranger in a Strange Land (his most famous work), Friday, The Moon Is a Harsh Mistress, and Job:  A Comedy of Justice. Amazon’s Robert Heinlein page may be found at http://www.amazon.com/Robert-Heinlein/e/B005GDIOHM/ref=sr_tc_2_0?qid=1405367065&sr=1-2-ent.

Enjoy, and, if you have book recommendations of your own, I invite you to leave them in a comment to this post.

“Antisemitism” has become an inherently confusing word. Here’s how to fix this problem.

symbols

When referring to the Holocaust, it never caused confusion to refer to Nazis as “antisemitic.” German is not a Semitic language, and the non-Semite Nazis were trying to exterminate an ethnoreligious group, the Jews, who are a Semitic people. In that context, the word “antisemitism,” in a European setting, is not difficult to understand. This is also true of antisemitism earlier in European history.

Decades later, and outside of Europe, however, the situation has changed, and the word “antisemitism” is now far less clear in its meaning. The one nation most closely identified with the Jewish people is Israel, and Israel is not in conflict with Germany. Israel is, of course, currently in an active conflict with an organization, Hamas, which has been firing rockets from nearby Gaza across the border, into Israel. In response, Israel has been retaliating, using even greater force than that wielded by Hamas. In this current conflict, there have been numerous deaths of noncombatants, including many children, in Gaza, but no deaths (so far) in Israel. For this reason, some people have raised their voices in criticism of the actions of the Israeli government in the current conflict. Predictably, but not logically, those who are criticizing Israel’s actions are now being accused of antisemitism.

When the word “antisemitic” gets thrown around, in the context of conflicts in the Middle East which involve Israel, it doesn’t help anyone understand anything. The word is actually an impediment to understanding. The reason for this is that “Semite” does not mean what many people think it means. For one thing, most Semites are not Jews.

“Semites” refers to a collection of ethnolinguistic groups — people who speak, or are descended from those who spoke, any of a large collection of languages known as the Semitic languages . . . and one of the Semitic languages is Arabic. Are Jews Semites? Yes, they are, but so are Arabs. The current conflict in the Middle East is a conflict between two different groups of people, both of whom are Semitic. To throw the emotionally-charged word “antisemitic” into the middle of the fray, therefore, makes no sense. It increases confusion, and clarifies nothing. The word also further enflames the emotions of those arguing and fighting, on both sides, in a situation where the exact opposite is needed.

It doesn’t help that many Westerners believe a fallacy related to Arabs, using “Arab” (which refers to an ethnic group) interchangeably with “Muslim,” which is not an ethnic term at all, but one that simply refers to anyone who practices the religion known as Islam. In reality, there are many Arabs who are not Muslims, and there are hundreds of millions of Muslims who are not Arabs. For example, consider the people who live in Iran. The governments of Israel and Iran are often hostile to each other, and Iran has very few Arabs, despite being a nation where an overwhelming majority practice Islam.

When Israel has conflicts with other nations (or organizations, for Hamas is not a nation) in the Middle East, those conflicts are political in nature, with religion playing a strong role as well. Israel is associated with the religion of Judaism (even though much of its Jewish population is only ethnically Jewish, not Jewish in the religious sense of the term), and is often in conflict with others in the Middle East who are associated with the religion called Islam. “Antisemitic,” used as a synonym for anti-Jewish bigotry, is an unfortunate misnomer, but there are alternatives which are better, in the sense that they are more specific, and therefore more clear. There is already a word in common use for fear and hatred of Islam and/or Muslims:  “Islamophobia.”  The corresponding term for fear and hatred of Judaism and/or Jews, including those who are Jewish only in the ethnic sense of the word, is “Judeophobia.” Most of the time, when people use the word “antisemitism,” they actually mean Judeophobia. Since Arabs are, themselves, a subset of the Semites, it would be illogical to refer to a specific person who is both an Arab, and a hater of Jews, as an “antisemitic Arab.”  To describe that person as a “Judeophobic Arab,” on the other hand, makes perfect sense.

Finally, it must be recognized that there are numerous people, within both Judaism and Islam, who do not have within them the blind, furious hatred of the other group that has caused so much death and destruction in the Middle East since the founding of the modern nation of Israel, in the years following World War II. I am referring, of course, to non-Islamophobic Jews, and non-Judeophobic Muslims. One does not often see them featured in the news, especially when conflicts such as the current one are raging, but such people do exist, and their existence should give all people who prefer peace over war hope for the future. May their numbers increase.

Seven Moving Lights in the Sky, the Seven Days of the Week, and Other Significant Sets of Seven

days of week and lights in the sky

Have you ever wondered why the number seven appears in all the places it does? We have seven days in the week. Churches teach about the seven deadly sins, and “seven heavens” is a common phrase. There are seven wonders of the ancient world, and seven of the modern world. The number seven has appeared in many other socially significant ways, in societies all over the world, for millennia.

It is no coincidence, I think, that the ancients were able to see seven lights in the sky which are either visible in daylight, or move against the background of “fixed” stars at night. They ascribed great significance to what went on in the sky, since they viewed “the heavens” as the realm of the gods in which they believed. The evidence for this lives on today, in the names of the seven days of the week, and numerous other sets of seven, all over the world.

It is possible to see the planet Uranus without a telescope, but it is very dim, and you have to know exactly where to look. No one noticed it until after the invention of the telescope. If Uranus were brighter, and had been seen in numerous ancient societies, I have no doubt that we would have eight days in the week, etc., rather than seven.