Lunda Geometry Mirror Curves Designs Knots Polyominoes Patterns Symmetries

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Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 1435726294
Total Pages : 204 pages
Book Rating : 4.4/5 (357 download)

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Book Synopsis Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries by : Paulus Gerdes

Download or read book Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries written by Paulus Gerdes and published by Lulu.com. This book was released on 2008-06-26 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book "Lunda Geometry" explains how the mathematical concepts of mirror curves and Lunda-designs were discovered in the context of the author's research of 'sona', illustrations traditionally made in the sand by Cokwe storytellers from eastern Angola (a region called Lunda) and neighboring regions of Congo and Zambia. Examples of mirror curves from several cultures are presented. Lunda-designs are aesthetically attractive and display interesting symmetry properties. Examples of Lunda-patterns and Lunda-polyominoes are presented. Some generalizations of the concept of Lunda-design are discussed, like hexagonal Lunda-designs, Lunda-k-designs, Lunda-fractals, and circular Lunda-designs. Lunda-designs of Celtic knot designs are constructed.Several chapters were published in journals like 'Computers & Graphics' (Oxford), 'Visual Mathematics' (Belgrade), and 'Mathematics in School' (UK).

Linknot

Author :
Publisher :
ISBN 13 : 9814474037
Total Pages : pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Linknot by :

Download or read book Linknot written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Women, Culture and Geometry in Southern Africa

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 1304105601
Total Pages : 278 pages
Book Rating : 4.3/5 (41 download)

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Book Synopsis Women, Culture and Geometry in Southern Africa by : Paulus Gerdes

Download or read book Women, Culture and Geometry in Southern Africa written by Paulus Gerdes and published by Lulu.com. This book was released on 2013 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:

African Pythogoras

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 1257161008
Total Pages : 126 pages
Book Rating : 4.2/5 (571 download)

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Book Synopsis African Pythogoras by : Paulus Gerdes

Download or read book African Pythogoras written by Paulus Gerdes and published by Lulu.com. This book was released on 2011 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

More Puzzle Fun with BiLLies

Author : paulus gerdes
Publisher : Lulu.com
ISBN 13 : 0557134846
Total Pages : 78 pages
Book Rating : 4.5/5 (571 download)

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Book Synopsis More Puzzle Fun with BiLLies by : paulus gerdes

Download or read book More Puzzle Fun with BiLLies written by paulus gerdes and published by Lulu.com. This book was released on 2009-11-02 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who of us does not like a pastime that can divert and educate at the same time? The puzzles in this book are accessible to teenagers and adults alike, and may be explored individually or in clubs, either in leisure time, or at school. This book More puzzle fun with biLLies presents one hundred puzzles, which you can solve using all fourteen 'biLLies', the pieces of the game. For instance, you can make the happy puppet on the front cover using the fourteen 'biLLies'. You will be asked to make certain symmetrical patterns. Have fun with the intriguing and tantalizing 'biLLies' (76 pp.)

Puzzle Fun with BiLLies

Author : paulus gerdes
Publisher : Lulu.com
ISBN 13 : 055713482X
Total Pages : 78 pages
Book Rating : 4.5/5 (571 download)

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Book Synopsis Puzzle Fun with BiLLies by : paulus gerdes

Download or read book Puzzle Fun with BiLLies written by paulus gerdes and published by Lulu.com. This book was released on 2009-11-02 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Who of us does not like a pastime that can divert and educate at the same time? The puzzles in this book are accessible to teenagers and adults alike, and may be explored individually or in clubs, either in leisure time, or at school.This book "More puzzle fun with biLLies" presents one hundred puzzles, which you can solve using all fourteen 'biLLies', the pieces of the game. For instance, you can make the happy puppet on the front cover using the fourteen 'biLLies'.You will be asked to make certain symmetrical patterns.Have fun with the intriguing and tantalizing 'biLLies'! (76 pp.)

Enjoy puzzling with biLLies

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 0557166969
Total Pages : 254 pages
Book Rating : 4.5/5 (571 download)

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Book Synopsis Enjoy puzzling with biLLies by : Paulus Gerdes

Download or read book Enjoy puzzling with biLLies written by Paulus Gerdes and published by Lulu.com. This book was released on 2008 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Otthava

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 0557382904
Total Pages : 294 pages
Book Rating : 4.5/5 (573 download)

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Book Synopsis Otthava by : Paulus Gerdes

Download or read book Otthava written by Paulus Gerdes and published by Lulu.com. This book was released on 2010-01-01 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the book Otthava: Making Baskets and Doing Geometry in the Makhuwa Culture in the Northeast of Mozambique I reflect on practices in the Makhuwa culture, which provide evidence of the geometric considerations operating in basket weaving, and are suitable and appropriate for mathematical and educational exploration. A proper scientific understanding of this knowledge, and the educational value of these manifestations may lead to a better appreciation of the Makhuwa culture. The practices I present in this book belong to the cultural sphere of 'otthava' - weaving, plaiting, interweaving, interlacing, braiding - that is, to basket- and mat- weaving. The topics which are analysed are the making of funnels, hats, fish traps, containers, trays, dance rattles, purses, decorated braids, baskets and handbags, knots and circular mats (292 pp.) Colour versions of the photographs in the book are published in a separate supplement.

Geometry from Africa

Author : Paulus Gerdes
Publisher : Cambridge University Press
ISBN 13 : 9780883857151
Total Pages : 236 pages
Book Rating : 4.8/5 (571 download)

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Book Synopsis Geometry from Africa by : Paulus Gerdes

Download or read book Geometry from Africa written by Paulus Gerdes and published by Cambridge University Press. This book was released on 1999-09-30 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book draws on geometric ideas from cultural activities from Subsaharan Africa to develop mathematical reasoning.

TINHLÈLÒ

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 0557486254
Total Pages : 134 pages
Book Rating : 4.5/5 (574 download)

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Book Synopsis TINHLÈLÒ by : Paulus Gerdes

Download or read book TINHLÈLÒ written by Paulus Gerdes and published by Lulu.com. This book was released on 2010 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The books "TINHLÈLÒ, Interweaving Art and Mathematics: Colourful Basket Trays from the South of Mozambique" exhibits and analyses coloured circular winnowing baskets collected by the author since the end of the 1970s (132 pp. colour).

Rock | Water | Life

Author : Lesley Green
Publisher : Duke University Press
ISBN 13 : 1478004614
Total Pages : 214 pages
Book Rating : 4.4/5 (78 download)

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Book Synopsis Rock | Water | Life by : Lesley Green

Download or read book Rock | Water | Life written by Lesley Green and published by Duke University Press. This book was released on 2020-03-20 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Rock | Water | Life Lesley Green examines the interwoven realities of inequality, racism, colonialism, and environmental destruction in South Africa, calling for environmental research and governance to transition to an ecopolitical approach that could address South Africa's history of racial oppression and environmental exploitation. Green analyzes conflicting accounts of nature in environmental sciences that claim neutrality amid ongoing struggles for land restitution and environmental justice. Offering in-depth studies of environmental conflict in contemporary South Africa, Green addresses the history of contested water access in Cape Town; struggles over natural gas fracking in the Karoo; debates about decolonizing science; the potential for a politics of soil in the call for land restitution; urban baboon management; and the consequences of sending sewage to urban oceans.

Inventing an African Alphabet

Author : Ramon Sarró
Publisher : Cambridge University Press
ISBN 13 : 1009199455
Total Pages : 219 pages
Book Rating : 4.0/5 (91 download)

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Book Synopsis Inventing an African Alphabet by : Ramon Sarró

Download or read book Inventing an African Alphabet written by Ramon Sarró and published by Cambridge University Press. This book was released on 2023-02-28 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1978, Congolese inventor David Wabeladio Payi (1958–2013) proposed a new writing system, called Mandombe. Since then, Mandombe has grown and now has thousands of learners in not only the Democratic Republic of Congo, but also France, Angola and many other countries. Drawing upon Ramon Sarró's personal friendship with Wabeladio, this book tells the story of Wabeladio, his alphabet and the creativity that both continue to inspire. A member of the Kimbanguist church, which began as an anticolonial movement in 1921, Wabeladio and his script were deeply influenced by spirituality and Kongo culture. Combining biography, art, and religion, Sarró explores a range of ideas, from the role of pilgrimage and landscape in Wabeladio's life, to the intricacies and logic of Mandombe. Sarró situates the creative individual within a rich context of anthropological, historical and philosophical scholarship, offering a new perspective on the relationships between imagination, innovation and revelation.

Mathematics Education in the Early Years

Author : Martin Carlsen
Publisher : Springer Nature
ISBN 13 : 3030347761
Total Pages : 453 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Mathematics Education in the Early Years by : Martin Carlsen

Download or read book Mathematics Education in the Early Years written by Martin Carlsen and published by Springer Nature. This book was released on 2020-03-13 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives insights in the vivid research area of early mathematics learning. The collection of selected chapters mirrors the research topics presented at the fourth POEM conference in May 2018. Thematically, the volume reflects the importance of this evolving area of research, which has begun to attract attention in the spheres of education and public policy due to increased interest in early years learning. The research foci of the chapters comprise children’s mathematical reasoning, early years mathematics teaching, and the role of parents for children’s mathematical development. The 2018 conference included a wider range of researchers than previous years.

Mathematics in African History and Cultures

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 1430315377
Total Pages : 432 pages
Book Rating : 4.4/5 (33 download)

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Book Synopsis Mathematics in African History and Cultures by : Paulus Gerdes

Download or read book Mathematics in African History and Cultures written by Paulus Gerdes and published by Lulu.com. This book was released on 2007 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes an updated version of the bibliography published in 2004 by the African Mathematical Union. The African Studies Association attributed the original edition a 'ÂÂspecial mention'ÂÂ in the 2006 Conover-Porter Award competition. The book contains over 1600 bibliographic entries. The appendices contain additional bibliographic information on (1) mathematicians of the Diaspora, (2) publications by Africans on the history of mathematics outside Africa, (3) time-reckoning and astronomy in African history and cultures, (4) string figures in Africa, (5) examples of books published by African mathematicians, (6) board games in Africa, (7) research inspired by geometric aspects of the 'ÂÂsona'ÂÂ tradition. The book concludes with several indices (subject, country, region, author, ethnographic and linguistic, journal, mathematicians). Professor Jan Persens of the University of the Western Cape (South Africa) and president of the African Mathematical Union (2000-2004) wrote the preface.

History of Mathematics in Africa: 2000-2011

Author : Paulus Gerdes
Publisher : Lulu.com
ISBN 13 : 1105141004
Total Pages : 450 pages
Book Rating : 4.1/5 (51 download)

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Book Synopsis History of Mathematics in Africa: 2000-2011 by : Paulus Gerdes

Download or read book History of Mathematics in Africa: 2000-2011 written by Paulus Gerdes and published by Lulu.com. This book was released on 2011 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sipatsi

Author : Paulus Gerdes
Publisher :
ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Sipatsi by : Paulus Gerdes

Download or read book Sipatsi written by Paulus Gerdes and published by . This book was released on 2009 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modularity

Author : Werner Callebaut
Publisher : MIT Press
ISBN 13 : 9780262033268
Total Pages : 480 pages
Book Rating : 4.0/5 (332 download)

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Book Synopsis Modularity by : Werner Callebaut

Download or read book Modularity written by Werner Callebaut and published by MIT Press. This book was released on 2005 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modularity—the attempt to understand systems as integrations of partially independent and interacting units—is today a dominant theme in the life sciences, cognitive science, and computer science. The concept goes back at least implicitly to the Scientific (or Copernican) Revolution, and can be found behind later theories of phrenology, physiology, and genetics; moreover, art, engineering, and mathematics rely on modular design principles. This collection broadens the scientific discussion of modularity by bringing together experts from a variety of disciplines, including artificial life, cognitive science, economics, evolutionary computation, developmental and evolutionary biology, linguistics, mathematics, morphology, paleontology, physics, theoretical chemistry, philosophy, and the arts. The contributors debate and compare the uses of modularity, discussing the different disciplinary contexts of "modular thinking" in general (including hierarchical organization, near-decomposability, quasi-independence, and recursion) or of more specialized concepts (including character complex, gene family, encapsulation, and mosaic evolution); what modules are, why and how they develop and evolve, and the implication for the research agenda in the disciplines involved; and how to bring about useful cross-disciplinary knowledge transfer on the topic. The book includes a foreword by the late Herbert A. Simon addressing the role of near-decomposability in understanding complex systems. Contributors: Lee Altenberg, Lauren W. Ancel-Meyers, Carl Anderson, Robert B. Brandon, Angela D. Buscalioni, Raffaele Calabretta, Werner Callebaut, Anne De Joan, Rafael Delgado-Buscalioni, Gunther J. Eble, Walter Fontana, Fernand Gobet, Alicia de la Iglesia, Slavik V. Jablan, Luigi Marengo, Daniel W. McShea, Jason Mezey, D. Kimbrough Oller, Domenico Parisi, Corrado Pasquali, Diego Rasskin-Gutman, Gerhard Schlosser, Herbert A. Simon, Roger D. K. Thomas, Marco Valente, Boris M. Velichkovsky, Gunter P. Wagner, Rasmus G. Winter Vienna Series in Theoretical Biology