I learned an interesting fact about Fibonacci numbers recently. Fibonacci numbers can be used to approximately convert from miles to kilometers and back.

Here is how.

Take two consecutive Fibonacci numbers, for example 5 and 8. And you’re done converting. No kidding – there are 8 kilometers in 5 miles. To convert back just read the result from the other end – there are 5 miles in 8 km!

Another example. Let’s take the consecutive Fibonacci numbers 21 and 34. What this tells us is that there are approximately 34 km in 21 miles and vice versa. (The exact answer is 33.79 km.)

If you need to convert a number that is not a Fibonacci number, just express the original number as a sum of Fibonacci numbers and do the conversion for each Fibonacci number separately.

For example, how many kilometers are there in 100 miles? Number 100 can be expressed as a sum of Fibonacci numbers 89 + 8 + 3. Now, the Fibonacci number following 89 is 144, the Fibonacci number following 8 is 13 and the Fibonacci number following 3 is 5. Therefore the answer is 144 + 13 + 5 = 162 kilometers in 100 miles. This is less than 1% off from the precise answer, which is 160.93 km.

Another example, how many miles are there in 400 km? Well, 400 is 377 + 21 + 2. Since we are going the opposite way now from miles to km, we need the preceding Fibonacci numbers. They are 233, 13 and 1. Therefore there are 233 + 13 + 1 = 247 miles in 400 km. (The correct answer is 248.55 miles.)

Just remember that if you need to convert from km to miles, you need to find the preceding Fibonacci number. But if you need to convert from miles to km, you need the subsequent Fibonacci number.

If the distance you’re converting can be expressed as a single Fibonacci number, then for numbers greater than 21 the error is always around 0.5%. However, if the distance needs to be composed as a sum of n Fibonacci numbers, then the error will be around sqrt(n)·0.5%.

Here’s why it works.

Fibonacci numbers have a property that the ratio of two consecutive numbers tends to the Golden ratio as numbers get bigger and bigger. The Golden ratio is a number and it happens to be approximately 1.618.

Coincidentally, there are 1.609 kilometers in a mile, which is within 0.5% of the Golden ratio.

Now that we know these two key facts, we can figure out how to do the conversion. If we take two consecutive Fibonacci numbers, F_n+1 and F_n, we know that their ratio F_n+1/F_n is 1.618. Since the ratio is approximately the same as kilometers per mile, we can write F_n+1/F_n = [mile]/[km]. It follows that F_n·[mile] = F_n+1·[km], which translates to English as “n-th Fibonacci number in miles is the same as (n+1)-th Fibonacci number in kilometers”.

That’s all there is to it. A pure coincidence that the Golden ratio is almost the same as kilometers in a mile.

We’ve all seen the embarrassing Google Maps images flying around the Web and, well, there are just too many to deny.

In this Web 2.0 world, the cameras are always rolling and the net is always ready to advertise our absurdity. So in the spirit of open information — we’ve compiled our Top 13 Moments Caught on Google Maps!

Prepare to be exposed.

1. 
2. Drug Deal From Every Angle
   
3. 
4. Best Sign on Google Maps
   
5. 
6. Street Fight
   
7. Marriage Proposal 2.0
   
8. 
9. Google Maps Catches Chicago Kid About To Shoot Someone
   
10. 
11. Multiple Public Urinations
    
12. 
13. Is Your Neighborhood Safe?
    

There is a crisis of insults on the Web. On one hand, the volume of flames is very high yet the quality is poor. Gone are the days of the razor-sharp wit of Oscar Wilde and Winston Churchill*, only to be replaced by a string of four letter words typed in ALL CAPS by n00bs (the latest of which is “FAIL”, itself a failure of coming up with a more scathing insult, if you think about it).

For example:

"Some cause happiness wherever they go; others, whenever they go," says Oscar Wilde.

George Bernard Shaw wrote to Winston Churchill, "I am enclosing two tickets to the first night of my new play; bring a friend....if you have one." And Churchill wrote back, "Cannot possibly attend first night, will attend second......if there is one"

Well, it’s hard to teach wit – but all of us can learn the next best thing: the approximation of it by obfuscation, i.e. using big, difficult, and obscure words. So, to do our part in improving the quality of insults on teh Interweb, below is a list of 10 Insulting Words You Should Know:

1. FRENCHIFY (v)

Definition: 1) To make French in quality or trait 2) To make somewhat effeminate, and 3) To contract a veneral disease (a 19th century slang).

Analysis: We have the English to thank for this word. Most people implicitly understand that it means to become more like the French, but not a lot know the second or the third meaning. We’re still not sure which is more insulting.

 

2. BESCUMBER (v)

Definition: To spray with poo.

Analysis: Actually bescumber is just one of many words in the English language that basically mean “to spray with poo”. These are: BEDUNG, BERAY, IMMERD, SHARNY, and the good ol’ SHITTEN. In special cases, you can use BEMUTE (specifically means to drop poo on someone from great height), SHARD-BORN (born in dung), and FIMICOLOUS (living and growing on crap).

Alternative: If that is too vulgar, you can use BEVOMIT and BEPISS, which meanings should be obvious to you, as well as BESPAWL (to spit on).

Oh, and if you want to say poo without looking like you’re saying it, you can use ORDURE, DEJECTION, and EXCRETA. To mean something more specific, you can use MECONIUM (first feces of a newborn child), MELAENA or MELENA (the abnormally tarry feces containing blood from gastrointestinal bleeding), LIENTERY (diarrhea with undigested or partially digested food), and STEATORRHEA (fatty stool that’s hard to flush down).

Here are some words along the same line that may one day prove to be useful for you: TURDIFY (turn into turd), COPROPHAGIA (eating of feces [wiki]), and COPROPHILIA (Think 2 Girls 1 Cup [wiki - don't worry, SWF], if you don’t know what this is, I shan’t corrupt you any further).

Let’s end entry number two with these two amazing words COPREMESIS and MISERERE, both of which mean fecal vomiting. Yes, fecal vomiting. It’s a medical emergency caused by the obstruction of the bowel (source).

3. MICROPHALLUS (n)

Definition: An unusually small penis.

Analysis: Self explanatory.

Alternative: Insulting a man’s private part is a very reliable way to put him down (if he’s smaller than you) or to get beat up (if he’s larger than you). Usually, even a dimwit can decipher the meaning of this word, after all, it’s just a combination of “micro” and “phallus”.

So, to insult a physically larger opponent, we recommend you use these words instead: PHALLOCRYPSIS (retraction or shrinkage of the penis), CRYPTORCHID (undescendend testicles), and PHALLONCUS (tumor of the penis).

4. COCCYDYNIA (n)

Definition: Pain in the butt.

Analysis: It’s a real medical term: coccydynia is pain in the coccyx or tailbone. Most people simply call it “buttache.”

Similar: PROCTALGIA, PROCTODYNIA, PYGALGIA and RECTALGIA all mean pain in the butt.

Alternative: CERVICALGIA (pain in the neck), PHALLODYNIA or PHALLALGIA (both mean pain in the penis), and PUDENDAGRA (pain in the genitals).

The word “butt” is highly versatile in its vernacular use – you can say “butt face” or “hairy butt” – dem are fightin’ words – but it’s much better to use these instead: ANKYLOPROCTIA (stricture of the anus, the state of “tight-assity”), STEATOPYGOUS (fat-assed), DASYPYGAL (having hairy buttocks), and CACOPYGIAN (having ugly buttocks).

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5. NINNYHAMMER (n)

Definition: A fool or a silly person.
Analysis: The word “fool,” unless you’re Mr. T, is sometimes woefully inadequate to express the stupidity of the person you’re talking about. So use Ninnyhammer. Or at least NINNY.

Alternative: The English language is chockful of colorful words meaning stupid person, such as: DUMMKOPF, IGNORAMUS, JOBBERNOWL, GOWK, and WITLING.

For mental retardation, eschew the ubiquitous ‘tard – rather, use AMENTIA (extreme mental retardation because of inadequate brain tissue), CRETINISM (mental retardation associated with dwarfism, caused by the deficiency of a thyroid hormone, a person with cretinism is a CRETIN), and MORONITY (used to mean mild retardation of having a mental age of 7 to 12 years, now it’s an obsolete term though we still use the word moron).

6. BUNCOMBE (n)

Definition: A ludicrously false statement. Basically it means bullshit or nonsense.

Analysis: Actually, you probably already know this word by its more common spelling: bunkum.

The origin of this word is fascinating. In 1819, a North Carolina congressman, the Honorable Felix Walker, was giving a rambling speech with little relevance to the current debate. He refused to yield the floor, and claimed that he wasn’t speaking for Congress but instead “for Buncombe” (a county in North Carolina he represented). That’s all it took.

Over time, the spelling changed to “bunkum,” and the meaning strangely changed to be “excellent.” Then it changed back in 1870, when a San Francisco gambler introduced a new game “banco” played with dice that were later found out to be loaded. Sure enough, BUNCO became known to mean swindle or cheat, and bunkum reverted back to its original meaning. (Source)

The word DEBUNK came directly from this: it’s just bunk(um) with the prefix de- (meaning to remove).

7. HIRCISMUS (n)

Definition: Offensive armpit odor.

Analysis: Hircismus comes from the root word “hircus” which means goat in Latin. Someone must have thought smelly pits smelled like goats. Actually, this word combines two sources of great insult potential: smelly and armpits. Why this is not used more often in the discourse of hateful communication is beyond me.

Alternative: As we’ve mentioned, armpit is an untapped goldmine for insults. Here are some examples of words you can use: MASCHALEPHIDROSIS or MASCHALYPERIDROSIS (excessive sweating of the armpits). MASCHALOPHILOUS (sexual attraction to the underarms) and AXILLISM (the use of armpit for sex).

Smelling like goats is also a good source of insults (especially since goat is also a slang for a lecherous man). Try CAPRYLIC and HIRCINE (smelling like a pungent goat), and CAPRIC (resembling a goat).

8. CORPULENT (adj)

Definition: Very fat.

Analysis: Good ol’ fat is a reliable insult word. After all, nowadays, no one likes a fatty … except Mauritanian men. That’s right: in the Islamic Republic of Mauritania, fat and Rubenesque women are sexy and desirable. So much so, that instead of the crash diet of the West, they have a similar but opposite program: crash feeding or “gavage,” where girls as young as 5 years old are force-fed milk, cream, butter, couscous and other calorie-rich food:

Girls as young as 5 and as old as 19 had to drink up to five gallons of fat-rich camel’s or cow’s milk daily, aiming for silvery stretch marks on their upper arms. If a girl refused or vomited, the village weight-gain specialist might squeeze her foot between sticks, pull her ear, pinch her inner thigh, bend her finger backward or force her to drink her own vomit. In extreme cases, girls died. (Source)

Interestingly, the ideal man is skinny (Mauritanians view portly men as womanish and lazy).

Alternative: ABDOMINOUS (potbellied), STEATOPYGOUS (fat-assed), and FUSSOCK (a very fat woman).

9. FEIST or FICE (n)

Definition: 1) A small dog of uncertain ancestry, a mongrel. 2) A person of little worth or someone with a bad temper, and 3) Silent fart.

Analysis: You actually already know this word: feist is used throughout the Midland and Southern United States to mean a snappy, nervous and belligerent little dog. The adjective feisty which means “full of spirit or spunky,” comes from this word. But that’s not why it’s on this list (hint: #3!)

What you may not know is the true origin of the word. Feist comes from the Middle English fisten, which means to break wind (fist originally also meant flatus or fart). Feist is a special type of fart: the silent (and often deadly) type. Oh, and the word “fart” itself comes from another Middle English word farten or ferten, which in turn is from the Old English feortan.

Feist is the type of word that, if introduced to young adolescents, no doubt would spark a lifelong interest in learning new words.

Alternative: Fart is another one of those goldmines of insults. To obfuscate what you really mean, use instead: FLATUOSITY (fart). Other gems: EPROCTOLAGNIAC (someone aroused by flatulence, his own or someone else’s), CARMINATIVE (something that makes you fart), and BDOLOTIC (prone to farting).

10. CACAFUEGO (n)

Definition: A swaggering braggart or boaster.

Analysis: Cacafuego literally means “shit fire” in Spanish. Anyone who boasts their new knowledge of insulting words from this article can be called a cacafuego.

That’s not the only interesting thing about it:

Cacafuego is also the nickname of a 16th century Spanish galleon captured by Sir Francis Drake (El Draque or The Dragon as he was known to his Spanish victims). The ship’s original name was Nuestra Señora de la Concepción (Our Lady of Conception), but for some reason it’s called by her sailors as “cagafuego” (fireshitter) or “cacafuego” (shitfire).

It was Drake’s biggest plunder: it took his crew four days to transfer the cargo from the Cacafuego. In all, Drake got 80 pounds of gold, 26 tons of silver, 13 cases of silver coins, jewels, and more.

Synonym: BLATHERSKITE, BRAGGADOCIO, FANFARON, GASCONADER, and RODOMONTADE (English is full of this kind of word, though I think caca “shit fire” fuego is in a class of its own!)

In January of 1954, just a year before his death, Albert Einstein wrote the following letter to philosopher Erik Gutkind after reading his book, ‘Choose Life: The Biblical Call to Revolt’. Apparently Einstein had only read the book due to repeated recommendation by their mutual friend Luitzen Egbertus Jan Brouwer. The letter was bought at auction in May 2008, for £170,000. Unsurprisingly, one of the unsuccessful bidders was Richard Dawkins.

Translation appears below.

[Image Source]

Translated Text

Princeton, 3. 1. 1954

Dear Mr Gutkind,

Inspired by Brouwer’s repeated suggestion, I read a great deal in your book, and thank you very much for lending it to me … With regard to the factual attitude to life and to the human community we have a great deal in common. Your personal ideal with its striving for freedom from ego-oriented desires, for making life beautiful and noble, with an emphasis on the purely human element … unites us as having an “American Attitude.”

Still, without Brouwer’s suggestion I would never have gotten myself to engage intensively with your book because it is written in a language inaccessible to me. The word God is for me nothing more than the expression and product of human weakness, the Bible a collection of honorable, but still purely primitive, legends which are nevertheless pretty childish. No interpretation no matter how subtle can (for me) change this. … For me the Jewish religion like all other religions is an incarnation of the most childish superstition. And the Jewish people to whom I gladly belong … have no different quality for me than all other people. As far as my experience goes, they are also no better than other human groups, although they are protected from the worst cancers by a lack of power. Otherwise I cannot see anything “chosen” about them.

In general I find it painful that you claim a privileged position and try to defend it by two walls of pride, an external one as a man and an internal one as a Jew. As a man you claim, so to speak, a dispensation from causality otherwise accepted, as a Jew of monotheism. But a limited causality is no longer a causality at all, as our wonderful Spinoza recognized with all incision…

Now that I have quite openly stated our differences in intellectual convictions it is still clear to me that we are quite close to each other in essential things, i.e. in our evaluation of human behavior … I think that we would understand each other quite well if we talked about concrete things.

With friendly thanks and best wishes,

Yours,

A. Einstein