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Flatterland: the Play Based on Flatterland: Like Flatland Only More So
Claremont Colleges Scholarship @ Claremont HMC Senior Theses HMC Student Scholarship 2012 Flatterland: The lP ay Kym Louie Harvey Mudd College Recommended Citation Louie, Kym, "Flatterland: The lP ay" (2012). HMC Senior Theses. 27. https://scholarship.claremont.edu/hmc_theses/27 This Open Access Senior Thesis is brought to you for free and open access by the HMC Student Scholarship at Scholarship @ Claremont. It has been accepted for inclusion in HMC Senior Theses by an authorized administrator of Scholarship @ Claremont. For more information, please contact [email protected]. Flatterland: The Play based on Flatterland: Like Flatland Only More So by Ian Stewart Kym Louie Arthur Benjamin, Advisor Art Horowitz, Advisor Thomas Leabhart, Reader May, 2012 Department of Mathematics Copyright c 2012 Kym Louie. The author grants Harvey Mudd College and the Claremont Colleges Library the nonexclusive right to make this work available for noncommercial, educational purposes, provided that this copyright statement appears on the reproduced ma- terials and notice is given that the copying is by permission of the author. To dis- seminate otherwise or to republish requires written permission from the author. Abstract This script is an adaptation of the popular science novel Flatterland: Like Flatland, Only More So by Ian Stewart. It breathes new life into mathemat- ical ideas and topics. By bringing math to the stage, this script presents concepts in a more friendly and accessible manner. This play is intended to generate new interest in and expose new topics to an audience of non- mathematicians. Preface I was first introduced to Flatterland by Sue Buckwalter while I was at Phillips Academy. -
Spaceland Notes
Rudy Rucker, Notes for Spaceland Spaceland Notes Notes written by Rudy Rucker for Spaceland (Tor Books, 2002). Copyright Rudy Rucker © 2002. I started writing Spaceland on August 24, 2000. These Spaceland Notes were last revised on July 16, 2001, when the final edit of Spaceland was mailed in. Document was put into PDF format on November 22, 2005. The Spaceland Notes are 37,000 words long. Writing Journal ....................................................................................................... 4 January 7, 2000. Preliminary Plans for my Next Novel. .................................... 4 June 22, 2000. Brussels, Hypercube on TV........................................................ 5 June 28, 2000. Joe’s view of Spazz. Joe’s Redemption. ................................... 5 June 30, 2000. Joe’s Astral Body. ..................................................................... 5 July 5, 2000. The cliff at the end of Sheepshead peninsula............................... 6 July 8, 2000. The two plots................................................................................. 7 July 18, 2000. T-shirts. ...................................................................................... 7 August 8, 2000. Hypervision. ............................................................................ 7 August 25, 2000. Started Writing. ..................................................................... 7 September 12, 2000. Underway. Calvino quotes.............................................. 7 September 15, 2000. Four Chapters, -
The Planiverse: Computer Contact with a Two- Dimensional World Pdf, Epub, Ebook
THE PLANIVERSE: COMPUTER CONTACT WITH A TWO- DIMENSIONAL WORLD PDF, EPUB, EBOOK A. K. Dewdney | 247 pages | 01 Nov 2000 | Springer-Verlag New York Inc. | 9780387989167 | English | New York, NY, United States The Planiverse: Computer Contact with a Two-dimensional World PDF Book Actually, if anyone wants to do the art for a game, I'm up for the programming side of things. Jan 02, J. Interestingly the book also gives you ways to imagine how the four dimensional world would behave. I recommend this book to anyone who enjoyed Edwin Abbott's "Flatland", which should be mandatory reading before tackling this book. Categories : Canadian novels science fiction novels Canadian science fiction novels Fictional dimensions Novels about mathematics. This purports to be an account of a computer programming project to simulate of a two- dimensional world. Buy Softcover. It seems that you're in Germany. Dewdny originally created a project for a class which would simulate a two dimensional world. To see what your friends thought of this book, please sign up. To go along with the fascinating worldbuilding there is a pretty gripping plot about a 2-dimensional being who befriends some 3-dimensional university students and takes th I think this is probably one of my all- time favorite books. If you were intrigued by Flatland, read this book. Friend Reviews. See if you dig a hole you have to put the material you remove somewhere. There were many little "aha" moments within it, and you can tell it was a ton of fun to develop. With this superiority and ease of understanding, we may extrapolate to the desire to acquaint ourselves with our higher dimensions, and possibly embolden ourselves to try such things as to "Know rather than to learn". -
Flatland Og Dimensioner” – Et Indblik I Viktoriansk Samfund & Kultur Og Om Forståelse for Eksistensen Af Flere Dimensioner Af Lise Danelund
10. april 2007 Oplæg til studieretningsprojekt i matematik og engelsk ”Flatland og Dimensioner” – Et indblik i viktoriansk samfund & kultur og om forståelse for eksistensen af flere dimensioner af Lise Danelund Introduktion Dette oplæg tager udgangspunkt i romanen ”Flatland – A Romance of Many Dimensions” fra 1884 af Edwin Abbott Abbott. Værket, som er en fantastisk rejse ind i en 2-dimensional verden, giver på fremragende vis læseren indsigt i konceptet om fler-dimensionale verdener, men fungerer samtidig som en social satire over det viktorianske samfund i England i slutningen af 1800-tallet. Matematikken fungerer i relation til sidstnævnte som et utroligt virkemiddel og analysemulighederne af romanen er talrige. Samtidig øges læserens matematiske bevidsthed, og med henblik på at beskæftige sig med eksempelvis 3. dimensionelle objekter i 2 dimensioner (skæringer mellem rumlige objekter og planen), fraktaler (ikke heltallige dimensioner) og lign., er bogen en fantastisk indføring i dimensionskonceptet og incitament til den, i sådanne relationer, til tider nødvendige abstrakte tænkning. Faglige forudsætninger (Matematik A/B) De faglige forudsætninger afhænger naturligvis af valget af matematisk emne, men generelt må det siges at være en fordel, hvis eleverne har kendskab til: • Trigonometri • Plangeometri • Logaritmer og komplekse tal (ved fokus på fraktaler) Faglige forudsætninger (Engelsk A) Generelt kendskab til: • Tekstanalyse - herunder sprogbrug, kompositionsopbygning, symbol- og metaforbrug, • Britiske samfundsforhold / evt. amerikanske samfundsforhold, hvis der ønskes perspektivering til eksempelvis filmen Flatland the Movie. • Teksten kræver en god sproglig basis Faglige mål (Matematik) Nedenstående faglige mål er naturligvis afhængige af det matematiske fokus, man vælger at anlægge i opgaven; men nogle muligheder er: • At give eleverne kendskab til keglesnit (geometrisk og analystisk tilgang) • At give eleverne kendskab til fraktaler fx mandelbrot, julia mgd’er mv. -
Notes for Mathematicians in Love, 10/16/2006
Rudy Rucker, Notes for Mathematicians in Love, 10/16/2006 Notes for my Sixteenth Novel, Mathematicians in Love by Rudy Rucker Copyright (C) Rudy Rucker 2006 Notes document created July 26, 2004. Book started October 27, 2004 102,100 words. Most recent update July 17, 2006 These notes have been lightly edited for the Web. Contents Goals ..................................................................................................................8 October, 2004, Version of Goals ...............................................................8 March 10, 2005, Version of Goals.............................................................9 Proposal Summary, March 15, 2005..................................................................9 The Characters ...........................................................................................9 The Story....................................................................................................9 Theme and Ideas ......................................................................................10 Design ..............................................................................................................10 Word Count..............................................................................................10 Voice and Tense.......................................................................................11 Sequencing...............................................................................................12 Number of Chapters.................................................................................13 -
New American Library, Signet Classic, 1984. Introduction by A. K
New American Library, Signet Classic, 1984. Introduction by A. K. Dewdney The publication in England one hundred years ago of Edwin A. Abbott’s Flatland was greeted by reviews which ranged from ”fascinating” to ”mortally tedious.” On the one hand, Abbott (1838-1926) had described an amusing and curious two-dimensional world inhabited by flat creatures knowing no space higher than their own. On the other hand, Abbott made of the Flatlanders’ ignorance a metaphor suggesting that we solid folk are no better off when it comes to higher realities. While many Victorian readers found Abbott’s tabletop world fascinating andi of itself, reason enough for a book, others found Abbott’s continuing insistence on the metaphor somewhat distracting. His approach appeared too didactic. Besides, what gave his ”gospel of three dimensions” such urgency as to dominate the story? One answer to this question emerges from a simple review of Abbott’s life and work, his concern with religion generally and the Church of England in particular. Such concerns explain not only the urgency of Abbott’s message but the form and content of his flat world and the flat society inhabiting it. Viewed closely through the lens of Abbott’s satire, the Flatlanders invite our amusement with their pettiness and ignorance, Viewed from a higher vantage point, however, the satirical possibilities shrink in face of the challenge of the third dimension. Satire gives way to sobriety and we, like the Flatlanders, cringe before the possibilities of ascent. This ascent is really Abbott’s cardinal point, and while we might imagine all sorts of physical or even theological significances for it, there can be little doubt that Abbott understood the ascent in a fairly specific way not revealed in his book. -
Dimension and Dimensional Analogy
DIMENSION AND DIMENSIONAL ANALOGY Over a hundred years ago, (1884), Edwin Abbott Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures (criminals are irregular, women are lines). By imagining the contact of beings from different dimensions, the author fully exploited the power of dimensional analogy. A Square in Flatland can understand a sphere as a series of growing and shrinking circles. As a first-rate fictional guide to the concept of multiple dimensions of space, the book also appeals to those who are interested in computer graphics. It has been said that there is no better way to begin exploring the problem of understanding higher-dimensional slicing phenomena than reading this classic novel of the Victorian era. As a satire, Flatland offered pointed observations on the social hierarchy of Victorian culture. However, the novella's more enduring contribution is its examination of dimensions; In a foreword to one of the many publications of the novella, noted science writer Isaac Asimov described Flatland as "The best introduction one can find into the manner of perceiving dimensions." As such, the novella is still popular amongst mathematics, physics and computer science students. The book presents dimensional analogy, a fundamental technique that lies at the basis of so many geometric ideas in mathematics: If we understand well what happens in zero, one, and two dimensions, then we are well on the way to understanding the third; If we understand 0, 1, 2, and 3, then we can follow that momentum to the threshold of a fourth spatial dimension. -
Taneli Luotoniemi H Y P E R Sp a C Ial Inte R L a C E Ta N E L I L Uo T O N Ie M I
taneli luotoniemi taneli s l ode m crafted H g u o r H t y r t e m o e g nterlace i Hyperspacial l a n o i s n e m i d - r u o f g r a s p i n g luotoniemi taneli s l ode m Crafted h g u o r h t y r t e m o e g l a n o i s n e m i d - r u o f g r a s p i n g taneli luotoniemi taneli Hyperspatial Interlace – Grasping Four-dimensional Geometry Through Crafted Models Taneli Luotoniemi Aalto University School of Arts, Design and Architecture Department of Art SUPERVISING PROFESSORS Juha Varto and Helena Sederholm THESIS ADVISOR Jeffrey Weeks PRELIMINARY EXAMINERS Henry Segerman and Jyrki Siukonen OPPONENTS Thomas Banchoff and Jyrki Siukonen Aalto University publication series DOCTORAL DISSERTATIONS 56 / 2019 Aalto University School of Arts, Design and Architecture Department of Art Aalto ARTS Books Espoo, Finland shop.aalto.fi © Taneli Luotoniemi GRAPHIC DESIGN Kaarina Tammisto MATERIALS Scandia 2000 Natural 130g, Scandia 2000 Natural 300g TYPEFACES Freight Text Pro, Surt ISBN 978-952-60-8479-4 (printed) ISBN 978-952-60- 8480-0 (pdf) ISSN 1799-4934 ISSN 1799-4942 (electronic) Unigrafia Helsinki 2019 The work was granted three-year funding from the Finnish Cultural Foundation, and the Fulbright Center Finland endorsed it with a stipend for a semester’s visit to the Department of Mathematics of the University of Illinois at Urbana-Champaign. ABSTRACT Although our everyday perception of space tells us that it is composed of three spatial dimensions of length, height and width, it is possible to imagine a space having four spatial directions that are exactly identical with respect to each other, and meet at right angles. -
Flatland: the Movie Reviewed by Ian Stewart
Flatland: The Movie Reviewed by Ian Stewart Flatland: The Movie—A Journey of Many classic, the founding member of a tiny but select Dimensions sub-genre of “Math Fiction”, most of whose other Flat World Productions members are sequels by modern writers or short Directed by Jeffrey Travis science fiction stories with an overtly mathematical flavour. Its main competitors are Charles Howard “It must be that a square… moving somehow Hinton’s 1907 An Episode of Flatland and Kee parallel to itself…can make something else—like Dewdney’s 1984 The Planiverse. Both of these writ- a… supersquare that represents three to the third ers pay close attention to the physics and engineer- power, or 27 units…That’s so hard to imagine, ing of two-dimensional structures, whereas Abbott but—wouldn’t that be amazing? A supersquare is more interested in telling the story of “A. Square” in the third dimension! I wonder what’s so special and his revelation of the Third Dimension. about Area 33H? I bet it has a clue to explain all Anyone who tries to reinterpret or extend Flat- this!” land faces a number of obstacles. The original was And so the intrepid little Hex, a small orange written in an elegant but old-fashioned style. It hexagon living in a Euclidean plane, defies her managed to combine a masterly exposition of the well-meaning grandfather, Arthur Square, and “dimensional analogy” between the Flatland view comes into conflict with the arrogant priesthood of 2-space and the human view of 3-space with by dabbling in heresy. -
Mathematical Journeys Into Fictional Worlds Professor Sarah Hart 9
Mathematical Journeys into Fictional Worlds Professor Sarah Hart 9 February 2021 In this lecture we explore some of the ways that mathematical ideas appear in fiction. We’ll go with Gulliver to Lilliput, meet the giant spiders of Hogwarts, chat with the King of Line-land, and even drop in on Captain Ahab. Introduction Travel to different realms, both real and fictitious, can take us out of ourselves and allow us to see the peculiarities and prejudices of our own world more clearly. In Gulliver’s Travels, the literal littleness of the Lilliputians is reflected in the pettiness of their concerns – starting a war over the best way to break an egg, for example. Their arrogance satirises our own – mired in political squabbles and not seeing the bigger picture. Gulliver travels to many lands, and while of course we do not judge a satirical novel by the plausibility of its science, it is still entertaining to ask what life would be like for the Lilliputians and Brobdingnagians. Mathematics can tell us a great deal about this. We can also apply it to the wealth of other examples of large and small people and creatures in books, films and on TV. Given that both Jonathan Swift and Voltaire (who wrote about a giant named Micromégas in a satirical story) explicitly mention calculations made by mathematicians, I think it is fair game to look at whether those calculations hold water. Once we do that, we are led down many avenues of mathematical exploration, some of which we will follow in the lecture. -
The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications
The Wonders Planiver se "Planiversal scientists are not a very common breed." -Alexander Keewatin Dewdney s far as anyone knows the only existing universe is the one we live in, with its three dimensions of space and one of time. .It is not hard to imagine, as many science-fiction writers have, that intelligent organisms could live in a fourdimensional space, but two dimensions offer such limited degrees of freedom that it has long been assumed intelligent two-space life forms could not exist. Two notable attempts have nonetheless been made to describe such organisms. The Last Recreations In 1884 Edwin Abbott Abbott, a London clergyman, published his satirical novel Flatland. Unfortunately the book leaves the reader almost entirely in the dark about Flatland's physical laws and the technology developed by its inhabitants, but the situation was greatly improved in 1907 when Charles Howard Hinton published An Episode of Flatland. Although written in a flat style and with cardboard characters, Hinton's story provided the first glimpses of the possible science and technology of the two-dimensional world. His eccentric book is, alas, long out of print, but you can read about it in the chapter "Flatlands" in my book The Unexpected Hanging and Other Mathematical Diversions (Simon & Schuster, 1969). In "Flatlands" I wrote: "It is amusing to speculate on dimen- sional physics and the kinds of simple mechanical devices that would be feasible in a flat world." This remark caught the attention of Alexander Keewatin Dewdney, a computer scientist at the University of Western Ontario. Some of his early speculations on the subject were set down in 1978 in a university report and in 1979 in "Exploring the Planiverse," an article in Journal of Recreational Mathematics (Vol.