Shared posts

21 Jan 22:04

Cutting Up

by Greg Ross

Choose any number of points on a circle and connect them to form a polygon.

This polygon can be carved into triangles in any number of ways by connecting its vertices.

No matter how this is done, the sum of the radii of the triangles’ inscribed circles is constant.

This is an example of a Sangaku (literally, “mathematical tablet”), a class of geometry theorems that were originally written on wooden tablets and hung as offerings on Buddhist temples and Shinto shrines during Japan’s Edo period (1603-1867). This one dates from about 1800.

21 Jan 22:03

Ersatz English

by Greg Ross

The lyrics in Italian singer Adriano Celentano’s 1972 single “Prisencolinensinainciusol” sound like American English, but they’re gibberish.

“Ever since I started singing, I was very influenced by American music and everything Americans did,” he told NPR in 2014. “So at a certain point, because I like American slang — which, for a singer, is much easier to sing than Italian — I thought that I would write a song which would only have as its theme the inability to communicate. And to do this, I had to write a song where the lyrics didn’t mean anything.”

It reached number 4 on the Belgian charts in 1973.

21 Jan 22:02

Knights and Scoundrels

by Greg Ross

A problem from the 1994 Italian Mathematical Olympiad:

Every inhabitant on the island of knights and scoundrels is either a knight (who always tells the truth) or a scoundrel (who always lies). A visiting journalist interviews each inhabitant exactly once and gets the following answers:

A1: On this island there is at least one scoundrel.
A2: On this island there are at least two scoundrels.

An-1: On this island there are at least n – 1 scoundrels.
An: On this island everyone is a scoundrel.

Can the journalist decide whether the knights outnumber the scoundrels?

Click for solution …

21 Jan 21:42

The Hidden Psalm

by Greg Ross

The final movement on John Coltrane’s 1965 album A Love Supreme is a “musical narration” of a devotional poem that Coltrane included in the album’s liner notes — he put the handwritten poem on a music stand and “played” it as if it were music.

“Coltrane’s hushed delivery sounds deliberately speechlike,” write Ashley Kahn in his 2003 history of the album. “He hangs on to the ends of phrases, repeats them as if for emphasis. He is in fact ‘reading’ through his horn.”

The hidden psalm was marked by New York musicians for decades before Rutgers University musicologist Lewis Porter presented a formal analysis to the American Musicological Society in 1980. “You will find that he plays right to the final ‘Amen’ and then finishes,” he writes in his 1997 biography of the saxophonist. “There are no extra notes up to that point. You will have to make a few adjustments in the poem, however: Near the beginning where it reads, ‘Help us resolve our fears and weaknesses,’ he skips the next line, goes on to ‘In you all things are possible,’ then plays ‘Thank you God’ … towards the end he leaves out ‘I have seen God.'”

“I think music can make the world better and, if I’m qualified, I want to do it,” Coltrane had said. “I’d like to point out to people the divine in a musical language that transcends words. I want to speak to their souls.”

(Thanks, Jeff.)

21 Jan 21:38

Curve Stitching

by Greg Ross

Mary Everest Boole, the wife of logician George Boole, was an accomplished mathematician in her own right. In order to convey mathematical ideas to young people she invented “curve stitching,” the practice of constructing straight-line envelopes by stitching colored thread through a pattern of holes pricked in cardboard. In each of the examples above, two straight lines are punctuated with holes at equal intervals, defining a quadratic Bézier curve. When the holes are connected with thread as shown, their envelope traces a segment of a parabola.

“Once the fundamental idea of the method has been mastered, anyone interested can construct his own designs,” writes Martyn Cundy in Mathematical Models (1952). “Exact algebraic curves will usually need unequal spacing of the holes and therefore more calculation will be required to produce them; it is surprising, however, what a variety of beautiful figures can be executed which are based on the simple principle of equal spacing.”

The American Mathematical Society has some patterns and resources.

13 Jan 19:23

Banksy playing Clue

pennanpayper:

Banksy: I know who the killer is

Me: Alright go ahead

Banksy: … society

Me: Banks this is the third time, stop guessing society

13 Jan 19:22

…brilliant



…brilliant

12 Jan 21:22

Why don’t you say the things you said to me...



Why don’t you say the things you said to me yesterday

Woman before a fish bowl (1922), Henri Matisse / Say My Name, Destiny’s Child

12 Jan 18:53

January 10, 2015


Just a few days left to get a hardcopy or ebook!

12 Jan 18:53

January 11, 2015


Whee!
10 Jan 01:50

So obviously murder is wrong but can we just agree those Charlie Hebdo cartoons are racist as fuck?

Oh definitely.

09 Jan 21:44

nevver: Knowledge and Endeavor

by joberholtzer
09 Jan 21:43

TRUTH Dancer (1914), Ernst Ludwig Kirchner / Otis, Jay-Z &...



TRUTH

Dancer (1914), Ernst Ludwig Kirchner / Otis, Jay-Z & Kanye West ft. Otis Redding

09 Jan 21:42

And eyes and ears and mouth and nose.

by Jessica Hagy

card4506

Share and Enjoy:DiggStumbleUpondel.icio.usFacebookTwitterGoogle Bookmarks

09 Jan 14:46

Gut Fauna

I know it seems unpleasant, but of the two ways we typically transfer them, I promise this is the one you want.
08 Jan 21:12

My white friends were given an "n word allowance" by my other friend. I had to go ask him why hes doing that and he just said "I like to make them look dumb as fuck."

Haha word.

08 Jan 17:30

Yo some old guy tried to come onto my property through the chimney last night to give me presents, but I shot him to death because that's trespassing and property rights are sacrosanct. So Libertarian Santa gave me negative one bullets. I'm sending a bill to Mrs. Claus for that shit.

Hpecker

there are a bunch of other "libertarian santa" posts i didn't share but are also solid gold

That’s the spirit!

08 Jan 15:51

Fun fact: Monopoly was actually designed to be a wretched piece of shit that makes everybody involved hate each other, it was supposed to be socialist commentary on how capitalism fucks everybody over for the benefit of the few, but then Parker Bros. added Rich Uncle Pennybags and how can you hate that adorable guy he's so cute riding that train

Perhaps it is time to rise up against Pennybags and his robber baron cronies.

08 Jan 15:28

January 08, 2015


08 Jan 04:52

flyartproductions: The persistence of Ms. Jackson The...



flyartproductions:

The persistence of Ms. Jackson

The Persistence of Memory (1931), Salvador Dali / Ms. Jackson, Outkast

08 Jan 04:10

numinous-queer: bebinn: youngmarxist: So if we have to show women what the baby looks like in...

numinous-queer:

bebinn:

youngmarxist:

So if we have to show women what the baby looks like in their womb and tell them how the process works before allowing them to get an abortion, does that mean we should teach our soldiers about the culture of the lands we’re invading, and explain to them that the people we want them to kill have families and feel pain, just like Americans?

image

MIC DROP

08 Jan 03:56

mayahan: Amazing Cakes These are from Threadcakes! I...

Hpecker

For Chelsea





















mayahan:

Amazing Cakes

These are from Threadcakes! I don’t know how many of you have heard about this but every year Threadless has a contest where people make cakes based on their tshirt designs. Basically all of these cakes are available in shirt form.

08 Jan 03:55

orcas: orcas: My local water park is draining their pools but before they do they’re having a...

orcas:

orcas:

My local water park is draining their pools but before they do they’re having a ‘Doggy Day’ where you can bring your dogs and have them splash around and play for awhile

image

08 Jan 03:07

When you're casually describing someone, is it okay to lead with the fact that they're Black/Asian/etc?

Look, I’m sure it’s arguably ok, but you’ll be a better person if you stop thinking that not being white is the the most salient thing about people who aren’t white.

07 Jan 22:21

Ever notice that people say "I hate everybody equally" right before they say something super racist? (also they never actually say anything bad about white people)

Even worse, they pretend like “honky” or some shit like making fun of bad dancing is somehow equal to, for instance, getting routinely murdered by the police for no reason.

07 Jan 20:40

A Softer World: 1188


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07 Jan 20:39

Falling Action.

LOOKS LIKE ANOTHER CLIFF HANGER!
07 Jan 20:38

January 06, 2015


Whee!
07 Jan 20:37

Kix

My parents sent me to several years of intensive Kix test prep.
07 Jan 20:37

January 07, 2015


Exclusive bonus comic at The Nib!