Mike Keith The Art of Pi

50 %
50 %
Information about Mike Keith The Art of Pi
Entertainment

Published on January 14, 2008

Author: Terenzio

Source: authorstream.com

Slide1:  The Art of π A PotpourrI of Pandigital Pleasures Mike Keith Antan Productions © 2003 Mike Keith Outline:  Outline Decimal digits of π: a quick tour Literary uses of π Short mnemonics Long-form π pieces Multiple constraints & the Oulipo Musical π Visual π Miscellany Finale: “Near A Raven” What’s the Point?:  What’s the Point? Axiom: π is cool So of course we want to use it artistically The limitation-liberation paradox Restriction becomes the mother of invention The computer as a tool Creation assistant or accuracy tester Can construct works otherwise difficult or impossible The First 85 Digits: A whirlwind tour:  The First 85 Digits: A whirlwind tour 3.14159 26 535 89 79 32 38 462643 38 32 79 5028 84 1971 6 93993 751 0 5820 97494 4592307816 40 628 620 8 998 628 palindromes The Grand Palindrome petr beckmann Orwell perms. of 5280 (feet in a mile) all odd 3’s and 9’s 4’s, 7’s, 9’s permutation of 0123456789 permutations all Fibonaccis (5, 3, 5, 89) The Grand Philindrome (.620 + .998 = 1.618 = phi) The word-length mnemonic:  The word-length mnemonic The classics: How I need a drink, alcoholic in nature, after the heavy lectures involving quantum mechanics! Attributed to Sir James Jeans May I have a large container of coffee? How I wish I could recollect pi ! The “Piem”:  The “Piem” Now I, even I, would celebrate In rhymes inapt, the great Immortal Syracusan, rivaled nevermore, Who in his wondrous lore, Passed on before, Left men his guidance how to circles mensurate. But a time I spent wandering in gloomy night; Yon tower, tinkling chimewise, loftily opportune. Out, up, and together came sudden to Sunday rite, The one solemnly off to correct plenilune. - Joseph Shipley, 1960 A few modern ones:  A few modern ones “Dad, I need a Honda hatchback!” (So states every sly young teenager preceding college.) For a time I liked Tennessee in summer, until the usual mosquito invasions started. How I hate a movie overblown in visual style and, while artistic, perfectly lacking cinematic fun – as, for instance, Dune. The English  Pilish Transform:  The English  Pilish Transform The first sentence of the novel Paul Clifford, by Edward Bulwer-Lytton (1830): It was a dark and stormy night; the rain fell in torrents, except at occasional intervals, when it was checked by a violent gust of wind which swept up the streets (for it is in London that our scene lies), rattling along the housetops, and fiercely agitating the scanty flame of the lamps that struggled against the darkness. Slide9:  Was a dark, a windy nighttime, in Bulwer Style, the first novelish sentences tritely detailing all of the tiresome plot basics  to London does our Sir Clifford now go, braving December’s windy snowstorms in resolute quietude (like a fireplace heating a drafty apartment) and forthwith, observing his friends among a Piccadilly crowd, scurries to administer heartfelt salutes, thus embracing them with “Hello”, “Greetings”, “Ho!”, etc. It was a dark and stormy night; the rain fell in torrents, except at occasional intervals, when it was checked by a violent gust of wind which swept up the streets (for it is in London that our scene lies), rattling along the housetops, and fiercely agitating the scanty flame of the lamps that struggled against the darkness. Dealing with zeros:  Dealing with zeros Was a dark, a windy nighttime, in Bulwer Style, the first 3 1 4 1 5 9 2 6 5 3 5 novelish sentences tritely detailing all of the tiresome 8 9 7 9 3 2 3 8 plot basics  to London does our Sir Clifford now go, 4 6 2 6 4 3 3 8 3 2 braving December’s windy snowstorms in resolute 7 9 5 0 2 8 quietude, like a fireplace heating a drafty apartment, and 8 4 1 9 7 1 6 9 3 forthwith, observing his friends among a Piccadilly 9 9 3 7 5 1 0 crowd, scurries to administer heartfelt salutes, thus 5 8 2 0 9 7 4 embracing them with “Hello”, “Greetings”, “Ho!”, etc. 9 4 4 5 9 2 3 . . . The rules of Standard Pilish:  The rules of Standard Pilish An N-letter word represents the digit N if N < 10 the digit 0 if N = 10 two consecutive digits if N > 10 e.g., a 12-letter word represents “1” then “2” Punctuation = no digits, but is a separator “male/female” is 4,6, “not-so-hot” is 3,2,3 One exception: the apostrophe (“Bill’s” = 5) Note that 1,1 (or 1,2 etc.) can be represented in two ways Gives the composer a little extra freedom Short vs. Long Pilish:  Short vs. Long Pilish Obviously long works in Pilish take more effort to construct than short ones More words = more work Two longest Pilish works (currently) are Near A Raven, 740 digits Cadaeic Cadenza, 3835 digits But there are subtler reasons why short sentences are more easily constructed. Slide13:  0% 5% 10% 15% 20% 25% 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 English (Emma, Jane Austen) Pilish (Cadaeic Cadenza, 3835 digits) Number of Letters in Word (n) % of words with n letters The bad news - In the long run, Pilish is more awkward than English because of the unnatural distribution of word lengths - The scarcity of short words is especially painful - Avg. word length for English is about 4.2, for Pilish about 5.6 (average of 1 through 10 plus a bit) Slide14:  Benford’s Law e  Number of digits n Average of first n digits The good news “Benford’s Law”: Random reals of the form bx (x unif. distributed) have non-uniformly distributed early digits (especially the 1st) Small digits dominate: e.g., “1” as first digit has probability ~0.3 (not 0.111) “Nature counts exponentially” Numbers in many settings are exponential in nature, & so obey Benford’s Law. π and e do even better than Benford predicts! This is just luck, but it makes short Pilish statistically even closer to English. The Oulipean aspect:  The Oulipean aspect Oulipo A group of mostly French modernist writers Specialize in “constrained writing” Forbidden or obligatory objects (letters, words, ...) Palindromes, anagrams, other forms of word play Mathematically determined structures Examples: G. Perec, “La Disparition” (and G. Adair, “A Void”) G. Perec, “Les Revenentes” (and I. Monk, “The Exeter Text”) Long Pilish texts fit the Oulipean mold well Constrained enough, but with sufficient freedom Cadaeic Cadenza:  Cadaeic Cadenza Following the Oulipo custom, the story mirrors its lexical constraint A powerful magician causes all books in the world to turn into Pilish And Cadenza itself is a book written in Pilish Written summer 1996 Average writing speed was ~5 minutes per word 5 x 3835 = the whole summer How it was made or, Low-Tech in Ibiza:  How it was made or, Low-Tech in Ibiza After typing in, checked by a computer program And rechecked, and rechecked... Multiple Constraints:  Multiple Constraints The piku Bud, a stem, a bloom sheltered by Basho’s great oak. Large protects smallness. Man (I know, I sense) struggles to deduce life’s end. Silly endeavor! See a ring, a wheel. Calculate my digits whole? Not quite possible Egg, a beer, a steak decorates my shower floor. I’ve drunk overmuch. Slide20:  Rot, a gill, a Shah’s alligator The pilindrome “Ted - a call, a cadet!” (Theodore hears from his friend at West Point.) “Not a ball - a baton!” (The juggler yells at his incompetent assistant) The translated piem:  The translated piem Que j’aime à faire apprendre un nombre utile aux sages! Immortel Archimède, artiste, ingénieur, Qui de ton jugement peut priser la valeur? Pour moi, ton problème eut de pareils avantages. How I love π! Teach beginners my digits, handy for genii. Immortal ‘Aρχημήδης, cunning number-guy, Who in thy judgement will assess π’s extent? This nut - its cracking - got me immense enjoyment. (translation: Douglas Hofstadter) A newsPIper:  A newsPIper  music:   music “π Symphony” by Lars Erickson Digits map to notes in the diatonic scale for melody Harmony and orchestration added by composer “Pichelbel Canon” by M. Keith/J. Pachelbel Pachelbel’s canon with time signature of each measure = successive digits of π. Mr./Ms. pi:  Mr./Ms. pi - Put digits of binary pi (11.001001000011111101...) in a hexagonal spiral - Make 0’s light, 1’s dark - Optional: paint a few of the contiguous light areas different colors Richard Lawrence, NY, 1998 Extended by M. Keith, 1999 One reason for the solidity:  One reason for the solidity A  rug:  A  rug Plot points on a rectangular spiral Brightness of point n is proportional to cumulative % of 0’s in binary π up to binary digit n Misc. weirdness:  Misc. weirdness Accidental Pilish Truly, said Bors, that may not be at this time, for I have a great adventure to do in this country. Thomas Malory, Le Morte D’Arthur It was our war-ship Clampherdown, Fell in with a cruiser light That carried the dainty Hotchkiss gun And a pair o’ heels wherewith to run From the grip of a close-fought fight. Rudyard Kipling, The Ballad of the Clampherdown “Ve a la plaza y merca pan y vino y carne: quebremos el ojo al diablo!” Vida de Lazarillo, anonymous 16th c. romance And even: A man, a plan, a canal: Panama! π: 3 1 4 1 5 (or 6 if you round) Numbers & Letters:  Numbers & Letters 123456789 ABCDEFGHI JKLMNOPQR STUVWXYZ Assign numbers as: QUARTER POUNDERS 8319259 76354591 Rearrange: 3.14159265358979 CARADEC 3191453 Rearrange: 3.141593 Poe, E: Near A Raven:  Poe, E: Near A Raven The illustrations are by Gustave Doré, 1883 James Carling, 1882 A contemporary artist, 1989

Add a comment

Related presentations

Related pages

Lady Pi - Cadaeic.net

Lady Pi. Mike Keith June 1999 . Sure, the digits of the number pi (3.14159265358979 ... Note the relative solidity of Lady Pi's head and hand, ...
Read more

The Number of the Beast - Cadaeic.net

The Number of the Beast. Mike Keith . The number 666 is cool. Made ... PI(666, 3) = 7·7·7 (since the digits at that position are "343", or 7 cubed)
Read more

"Embedding Hamlet In Pi" by Mike Keith and A. Ross Eckler

Mike Keith A. Ross Eckler. Abstract. ... Write down the digits of pi (after the decimal point) in successive slices, reduce these mod 26, ...
Read more

Cybernetic Dreams of Pi - Wikipedia, the free encyclopedia

Cybernetic Dreams of Pi, ... 2:39 (Marshall Keith, Mark Noone) "You've Got What It Takes" ... 3:31 (Mike Appel, Ed Schnug, ...
Read more

The World of Pi - Poems

L'histoire de Pi a travers les ages, ... Poems. So, let's start with a famous poem, ... Mike Keith - from E. Poe ...
Read more

Just in Time for Pi Day (3/14), a Work of Literature Based ...

"Not A Wake", a new collection of poems and short stories by Mike Keith, is written entirely in a special form known as “Pilish”, where the length of ...
Read more

MatheMUSEments: Poe, E.: Near a Raven - blogspot.com

Mike Keith, a pi fanatic, ... MatheMUSEments. ... A Kaleidoscope of Math and Art. View my complete profile ...
Read more

Poe, E.: Near a Raven - University of Guelph

Poe, E.: Near a Raven . ... Constrained writing is the art of constructing a work of prose or poetry that ... Ailihphilia & Scitamatics / Mike Keith / e ...
Read more

Not A Wake: A dream embodying (pi)'s digits fully for ...

Not A Wake: A dream embodying (pi)'s digits fully for 10000 decimals [Michael Keith, Diana Keith] on Amazon.com. *FREE* shipping on qualifying offers. Not ...
Read more