The Quipu of the Incas: Its Place in the History of Communication by Leo J
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A Thesis Entitled Knotted Numbers, Mnemonics, and Narratives: Khipu
A Thesis entitled Knotted Numbers, Mnemonics, and Narratives: Khipu Scholarship and the Search for the “Khipu Code” throughout the Twentieth and Twenty First Century by Veronica Lysaght Submitted to the Graduate Faculty as partial fulfillment of the requirements for the Master of Arts Degree in History ________________________________________ Charles Beatty-Medina, Committee Chair ________________________________________ Roberto Padilla, Committee Member ________________________________________ Kim Nielsen, Committee Member _______________________________________ Amanda Bryant-Friedrich, Dean College of Graduate Studies The University of Toledo July 2016 Copyright 2016, Veronica Lee Lysaght This document is copyrighted material. Under copyright law, no parts of this document may be reproduced without the expressed permission of the author. An Abstract of Knotted Numbers, Mnemonics, and Narratives: Khipu Scholarship and the Search for the “Khipu Code” throughout the Twentieth and Twenty First Century by Veronica Lysaght Submitted to the Graduate Faculty as partial fulfillment of the requirements for the Master of Arts Degree in History The University of Toledo July 2016 My thesis explores the works of European and North American khipu scholars (mainly anthropologists) from 1912 until 2010. I analyze how they incorporated aspects of their own culture and values into their interpretations of Inca khipus’ structure and functions. As Incas did not leave behind a written language or even clear non-written descriptions of their khipus, anthropologists interpreted khipus’ purposes with a limited base of Inca perspectives. Thus, every work of khipu literature that I study reflects both elements of Inca culture and the author’s own cultural perspectives as a twentieth or twenty-first century academic. I show how each work is indicative of modern cultural views on writing, as well as academic movements and broader social trends that were prominent during the author’s time. -
Knotting Matters 5
‘KNOTTING MATTERS’ THE QUARTERLY NEWSLETTER OF THE INTERNATIONAL GUILD OF KNOT TYERS President: Percy W. Blandford Hon. Secretary & Editor, Geoffrey BUDWORTH, 45, Stambourne Way, Upper Norwood, London S.E.19 2PY, England. tel: 01-6538757 Issue No. 5 October, 1983 - - - oOo - - - EDITORIAL In an article within this issue Dr. Harry ASHER describes an original method of classifying knots. There will be those - understandably - who dismiss his ideas because they may seem impractical. After all, didn’t Australian knot craftsman Charles H.S. THOMASON write recently in these pages; “I don’t know the names of many of the knots I tie.” One of the Guild’s aims is, however, to undertake research into all aspects of knotting. When I had to produce a training manual entitled ‘The Identification of Knots’ for forensic scientists and other criminal investigators, my first challenge was to devise a system of grouping and classifying over 100 basic knots, bends and hitches. You can’t ask people who don’t know knot names to look one up in an alphabetical index. I chose to group them according to the number of crossing points each one possessed. Scientists can count. Harry ASHER’s method actually describes in a kind of speed-writing how they are tied. Mathematicians studying topology assign numerical values to knots and then evolve formulae to compare them. The “Reidemeister Moves” are, I believe, an attempt to give names to the ways in which a cord may be arranged and rearranged. Some of us will never acquire the mathematical language to understand all of this; but we surely must be able to treat knots systematically and logically if we are to learn more about them than we know already. -
Introducción
INTRODUCCIÓN ¿Tuvieron escritura los antiguos peruanos? ¿Quiénes habitaban lo que hoy es nuestro territorio antes de la llegada de los conquis- tadores españoles? ¿Podían comunicarse por lo que reconocemos como “ escritura” ? La cuestión planteada así ha provocado una respuesta que no admite matices. Sin embargo, si aceptamos otros criterios más amplios, la respuesta podría ser afirmativa. Las pre- guntas debían ser entonces, aparte del lenguaje oral, ¿cómo se co- municaban los antiguos peruanos? ¿Cómo guardaban informa- ción? ¿Cómo se comunicaron con los extraños “ huiracochas” que llegaron hasta el Inca Atahualpa? Gail Silvermann escribió al es- tudiar el significado de los dibujos de las telas de una lejana co- munidad cusqueña: Desde una perspectiva lingüística, si el signo no contiene los sonidos del lenguaje no es escritura sino escritura prealfabética, como el cuneiforme sumerio o los jeroglifos mayas... en cam- bio, desde una perspectiva semiótica, viene a ser un texto todo aquello que utilice un símbolo para transmitir un mensaje com- prensible para el receptor. Efectivamente, numerosos estudios y hallazgos arqueológicos, antropólogos y lingüísticos confirman que los antiguos peruanos tuvieron sistemas de comunicación, de transmisión de mensajes e información. En otras áreas de estudios como la semiótica, la cual se ocupa del significado de los signos, no se tiene duda sobre los antiguos sistemas de comunicación. Su objetivo, como se sabe, es 9 el estudio de todos los sistemas de signos que en forma espontá- nea o intencional nos envían mensajes visuales, entendiéndose que todo signo de cualquier forma es portador de información. Desde este punto de vista se considera que las famosas pintu- ras rupestres, que fueron apreciadas sólo como obras de arte, tie- nen en realidad mucho más relación con un sistema ideográfico de comunicación visual que con la estética. -
Federal Register/Vol. 82, No. 108/Wednesday, June 7, 2017
26340 Federal Register / Vol. 82, No. 108 / Wednesday, June 7, 2017 / Rules and Regulations Administrative Procedure Act (APA) certain archaeological and ethnological the imposition of these restrictions, and because this action is administrative in materials from Peru. The restrictions, included a list designating the types of nature. This action postpones the which were originally imposed by archaeological and ethnological effectiveness of the discharge Treasury Decision (T.D.) 97–50 and last materials covered by the restrictions. requirements in the regulations for extended by CBP Dec. 12–11, are due to These restrictions continued the CBNMS and GFNMS in the areas added expire on June 9, 2017, unless extended. protection of archaeological materials to the sanctuaries’ boundaries in 2015 The Acting Assistant Secretary for from the Sipa´n Archaeological Region (subject to notice and comment review) Educational and Cultural Affairs, United forming part of the remains of the with regard to USCG activities for six States Department of State, has Moche culture that were first subject to months to provide adequate time for determined that conditions continue to emergency import restriction on May 7, public scoping, completion of an warrant the imposition of import 1990 (T.D. 90–37). environmental assessment, and restrictions. The Designated List of Import restrictions listed in 19 CFR subsequent rulemaking, as appropriate. archaeological and ethnological 12.104g(a) are ‘‘effective for no more Should NOAA decide to amend the materials described in T.D. 97–50 is than five years beginning on the date on regulations governing discharges in revised in this document to reflect the which the agreement enters into force CBNMS and GFNMS, it would publish addition of Colonial period documents with respect to the United States. -
An Historical and Analytical Study of the Tally, The
Copyright by JttUa Slisabobh Adkina 1956 AN HISTORICAL AND ANALYTICAL STUDY OF THE TALLY, THE KNOTTED CORD, THE FINGERS, AND THE ABACUS DISSERTATION Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of The Ohio State U n iv e rsity Sy JULIA ELIZABETH ADKINS, A. B ., M. A. The Ohio State University 1936 Approved by: A dviser Department of Educati ACiCNOWLEDGMENT The author is deeply indebted to Professor Nathan lasar for his inspiration, guidance, and patience during the writing of this dissertation. IX lâBIfi OF CONTENTS GHAFTSl Fàm 1. INTRWCTION................................................................................... 1 Pl^iflËÜaaxy Statcum t ......................................................... 1 âtatamant of the Problem ............ 2 Sqportanee of the Problem ............................................. 3 Scope and Idmitationa of the S tu d y ............................................. 5 The Method o f the S tu d y ..................................................................... 5 BerLeir o f th e L i t e r a t u r e ............................................................ 6 Outline of the Remainder of the Study. ....................... 11 II. THE TâLLI .............................................. .................................................. 14 Definition and Etymology of "Tally? *. ...... .... 14 Types of T a llies .................................................................................. 16 The Notch T a lly ............................... -
The Developments of Macramé As a Viable Economic Venture in Ghana
European Journal of Research and Reflection in Arts and Humanities Vol. 3 No. 4, 2015 ISSN 2056-5887 THE DEVELOPMENTS OF MACRAMÉ AS A VIABLE ECONOMIC VENTURE IN GHANA ABRAHAM EKOW ASMAH1, MILLICENT MATEKO MATE2. SAMUEL TEYE DAITEY3 1, 2, 3 Department of Integrated Rural Art and Industry, Kwame Nkrumah University of Science and Technology (KNUST), Kumasi, GHANA ABSTRACT The study of the developments of macramé as a viable economic venture in Ghana, attempts to examine the progressive development of macramé as an art and the available resource material for macramé production. It likewise attempts to expose an inclusive dint macramé have created in Ghana’s fashion, at the same time describing meticulously selected fashion accessories that have been made in macramé. The authors expounded that macramé has grown to be accepted as a potential, versatile, fashionable craft capable of complementing other fashionable accessory products for the adoption process in product development, which has a socioeconomic benefits as well as a sustaining culture. Some of the conclusions made are that macramé craft has become an entire facet of our traditional crafts, especially among the youth, and still undergoing progressively notable transformation. Keywords: Macramé, fashionable craft, developments, viable economic venture. INTRODUCTION Macramé as an element of decorative knots permeates virtually in every culture, but may manifest in different directions within these cultures (Jim Gentry, 2002). In Ghana, the meticulously braided cords became the element for forming fish nets, with the aid of a needle-like tool. The practice of knot making is predominantly practiced among youth scouts and cadets, especially in our second cycle institutions as part of their grooming sessions. -
The Incan Abacus: a Curious Counting Device
The Incan Abacus: A Curious Counting Device Molly Leonard [email protected] Cheri Shakiban [email protected] University of St. Thomas 2115 Summit Ave. St. Paul, MN Abstract: Little is known about the ancient calculating device of the Incans la yupana. It was a tablet upon which stones, grains, or beans were placed and manipulated to perform calculations. This paper critically examines the little information available on la yupana and proposes a new interpretation, taking into consideration both mathematical and cultural factors. The conclusion reached is that la yupana is an abacus that directly correlates with the quipus, performs addition, subtraction, multiplication, and division in base ten, can be used to decompose numbers, and reflects linguistic principles of the Aymara language. A better understanding of the Incan abacus could lead to further insights about the civilization. Introduction La Yupana La yupana1 was the ancient calculating device of the Incas. In the indigenous Andean language Quechua “yupar” means “to count.” There are numerous historical accounts that mention the existence of such a calculating device, but the way they worked is left very unclear. What we do know for sure is that the Incas used some sort of tablet upon which stones or beans were placed. These markers were moved 1 La yupana and “abacus” will be used interchangeably throughout the essay. Figure 1, from Day, page 35. Journal of Mathematics and Culture 81 November 2010 5 (2) ISSN – 1558 - 5336 around in order to perform the various calculations needed to make the quipu records.2 Both the quipus and la yupana are shown in the image to the right. -
Geometry and Topology, Or How Di Erent a Mug and a Doughnut Really
Geometry and Topology, or How Dierent a Mug and a Doughnut Really Are Victoria LEBED, Research Fellow in Maths 1 What is mathematics? Is it this? 1 What is mathematics? And this? 1 What is mathematics? Sometimes yes: NASA scientists with their board of calculations, 1961, Life magazine. 1 What is mathematics? Sometimes yes: A screenshot from Hidden Figures. 1 What is mathematics? But maths is also all of this: Maths is about understanding mechanisms and seeing paerns, not only about computing! It involves creativity, and is sometimes closer to arts and philosophy than to sciences. Maths is about understanding mechanisms and seeing paerns, not only about computing! It involves creativity, and is sometimes closer to arts and philosophy than to sciences. Fortune 500’s Most Valued Characteristics in an Employee: Characteristics 1999 1970 Teamwork 1 10 Problem Solving 2 12 Interpersonal Skills 3 13 Oral Communication 4 4 Listening Skills 5 5 Personal Career Development 6 6 Creative Thinking 7 7 Leadership 8 8 Goal Seing/Motivation 9 9 Writing 10 1 Organizational Eectiveness 11 11 Computational Skills 12 2 Reading Skills 13 3 2 Mugs and doughnuts Geometry Topology ✓ Distances, angles, curvature. ✓ Overall shape, deformations. ✓ “Metallic mathematics”. ✓ “Clay mathematics”. 2 Mugs and doughnuts Geometry Topology ✓ Distances, angles, curvature. ✓ Overall shape, deformations. ✓ “Metallic mathematics”. ✓ “Clay mathematics”. ✓ mug 6= doughnut ✓ mug = doughnut 2 Mugs and doughnuts Geometry Topology ✓ Distances, angles, curvature. ✓ Overall shape, deformations. ✓ “Metallic mathematics”. ✓ “Clay mathematics”. ✓ mug 6= doughnut ✓ mug = doughnut ✓ Examples of applications: 1) surveying; 2) construction; 3) astronomy; 4) the shape of the universe. 2 Mugs and doughnuts Geometry Topology ✓ Distances, angles, curvature. -
An Astronomical Analysis of an Inca Quipu Juliana Martins
An Astronomical Analysis of an Inca Quipu Juliana Martins I. Introduction The Incas were sophisticated astronomers who relied on astronomical observations to conduct daily activities such as agriculture, rituals, and construction. They mastered the art of solar and lunar observation, but information gathered from these observations needed to be recorded. The Incas did not have a written language, instead they used a system of knotted cords called quipus to record information. There is evidence that some quipus contain calendrical data. Scholars have made much progress in understanding the information recorded in quipus, such scholars include Gary Urton, Carrie Brezine, Maria Ascher and Robert Ascher, but further research is necessary if we are ever to decipher fully the true content of an Inca quipu. In this paper we analyze a specific quipu and offer a provisional interpretation. In the first section we give a brief introduction to the quipu and state why scholars think quipus utilize a base 10 positional system to encode quantitative information. The second section contains a summary of Gary Urton’s interpretation of quipu UR006 as a biennial calendric quipu. Lastly, we analyze quipu AS84 and argue that this quipu contains calendrical information. We hope that this study could be useful in advancing quipu research. II. Structure of a Quipu In the Inca’s Quechuan language, quipu literally means to knot or knot, and these record keeping devices, quipus, are gracefully that- knotted cords tied together in which proximity, color, and numbers of knots are used to represent information. The structure of a quipu is simple and straightforward; its principal parts include a main (or primary) cord, top cords (not always present), pendant cords, subsidiary cords, and of course, a number of knots. -
Real Knots: Knotting, Bends, Hitches and Knotcraft
Real Knots: Knotting, bends, hitches and knotcraft. knot knots knotting tie tying rope yarn hitch hitches bend scout sail climb marlinespike. Standard copyrights and disclaimer. Ropers Knots Page ( ) The knot site on real knots in rope. What are the recent changes of the Roper Site ?? 990825 Breast plates. Some fancy knots. Because you want them so much. The Web Knot index A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Instruction Pages Stoppers Terminal Knots Overhand-knot, (Flemish)eight and more bends To bend two lines together. Reef-Knot, Sheet-Bend, Carrick-Bend, True-Lover's, and more Hitches To tie on an object. Timber Hitch, Constrictor, The Eight, and more.. Single Loops Bowline, Bowstring, and more... The Noose The running bowline, hangman, and more.. Frequently Asked Knots. The monkey fist, Dolly (trucker-hitch). Breast plates. Some Fancy work Links to other knot sites .At the base of realknots Books on Knots on the Web Ashley, Klutz and more Links to pages with links to Roper's pages . For finding people with the same interests.. http://www.realknots.com/knots/index.htm (1 of 3) [9/2/2004 10:23:45 PM] Real Knots: Knotting, bends, hitches and knotcraft. News in the knotting world The newsgroup rec.crafts.knots is on line. And (perhaps also thanks to your support) I am able to join this news group! On Ropers Knot Site If you like it you can subscribe to mail notification on major changes. -
Changes David Rompf
number fifty-two HARVARD REVIEW published by HOUGHTON LIBRARY harvard university HARVARD REVIEW publisher: Tom Hyry, Florence Fearrington Librarian of Houghton Library publisher emeritus: Michael Shinagel founding editor: Stratis Haviaras editor: Christina Thompson poetry editor: Major Jackson fiction editor: Suzanne Berne managing editor: Chloe Garcia Roberts digital editor: Laura Healy design: Alex Camlin senior readers: M. R. Branwen • Deborah Pursch editorial assistants: Virginia Marshall • Hannah Rosefield • Cecilia Weddell interns: Rachel Ahearn • Julia DeBenedictis • Rachel Silverstein readers: Michelle Ceruli Adams • Parker Beak • Bo Young Choi • Tess Cushing • Ezra Feldman • Ophelia John • Sabrina Li • Jennifer Nickerson • Justin Reed • Lia Oppedisano • Sebastian Sarti • Micah Trippe • Anna Zink • Catherine Zuo contributing editors: Mary Jo Bang • Karen Bender • Michael Collier • Robert Coover • Lydia Davis • Denise Duhamel • David Ferry • Stephen Greenblatt • Alice Hoffman • Miranda July • Ilya Kaminsky • Yusef Komunyakaa • Campbell McGrath • Heather McHugh • Paul Muldoon • Les Murray • Dennis O’Driscoll • Carl Phillips • Stanley Plumly • Theresa Rebeck • Donald Revell • Peter Sacks • Robert Antony Siegel • Robert Scanlan • Charles Simic • Cole Swensen • Chase Twichell • Katherine Vaz • Kevin Young harvard review (issn 1077-2901) is published twice a year by Houghton Library domestic subscriptions: individuals: $20 (one year); $50 (three years); $80 (five years) institutions: $30 (one year) overseas subscriptions: individuals: $32 (one year) institutions: $40 (one year) enquiries: Harvard Review, Lamont Library, Harvard University, Cambridge, MA 02138 phone: (617) 495-9775 fax: (617) 496-3692 email: [email protected] online at harvardreview.org paper submissions should be accompanied by sase. online submissions should be submitted at harvardreview.submittable.com. books sent for review become the property of Harvard University Library. -
1 Perhaps That's Just the Way It Is the Square Knot Is a Binding Knot Used
Perhaps That’s Just the Way It Is The square knot is a binding knot used to connect two ropes of equal width. This is how I got to know and treasure it in my ten years working on a rescue team for Technisches Hilfswerk. Captain John Smith might well have added around 1627 that the square knot, if applied incorrectly, can easily loosen, and become a “grief knot.” He called it a “reef knot.” One of the special characteristics of the square knot is that it can be so easily loosened, and a seaman can make use of this when “reefing” a sail by tying off the excess cloth with a reef knot. Nautical knots often have this dual function of being both powerful form-locked or friction-fit connections and at the same time easy to undo: when taking a boat through a lock, I use a special knot called a slipknot. The form of the nautical knot thus depends primarily on its function. Everything is reduced to the last detail of complete functionality. This is reminiscent of the famous design principle “form follows function,” which can be traced back to the architects Louis Sullivan and Henri Labrouste and is often associated with the Bauhaus. As artist and seaman Clifford Ashley wrote in his 1944 encyclopedia on the subject of knotting, knots have strikingly little sense of patriotism.1 But sailors are not the only ones to make use of knots. In Frankfurt during the mid-1990s, I saw a poster picturing a Chinese knot, and it captured my fascination.