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Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries By Paulus Gerdes
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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’,... More > 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). (198 pp.)< Less
African Basketry: A Gallery of Twill-Plaited Designs and Patterns By Paulus Gerdes
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From the Preface: “Over the years, Paulus Gerdes has established himself as the pre-eminent expert on patterns in African weaving and basketry, and the broader implications of these patterns.... More > … This new book is a broad gallery of plaited African designs. These range over much of the continent while concentrating on those parts of Africa that are closest to his Mozambique center, including Kongo, Mbole and Mangbetu from Congo, Cokwe and Lunda from Angola, Digo from Kenya, Soga from Uganda, Zulu from South Africa, and Makhuwa in Mozambique itself, but including such distant peoples as Bamileke in Cameroon. In Gerdes’ gallery we are shown the love of patterns and symmetries that are the result of centuries of exultant exploration. Enjoy!” Donald W. Crowe Professor of Mathematics, Emeritus University of Wisconsin (220 pp.)< Less
The Bisos Game: Puzzles and Diversions By Paulus Gerdes
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Who does not like a pastime that can divert and educate at the same time? More than 50 puzzles will be presented in this booklet. To solve the puzzles one needs some or all nine pieces of the game. ... More > We will call the pieces bisos. The puzzles involve making figures that display certain properties. For example, with the nine bisos one can form a hexagon (see the front cover). The bisos puzzles and games could be an individual pastime, but can also be used by teachers as activities in clubs or to deepen various concepts of the school curriculum like those of polygons and symmetries. The bisos puzzles and games are accessible to children and adults from six to one hundred years of age. Amuse yourself! (72 pp.)< Less
Sipatsi: Basketry and Geometry in the Tonga Culture of Inhambane (Mozambique, Africa) By Paulus Gerdes
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Gitonga speaking basket weavers, mostly women, from Inhambane in the Southeast of Mozambique make colourful 'sipatsi' purses, and handbags. They are very creative in inventing new decorative designs... More > and patterns. This book, resulting from thirty years of enquiring, collecting and observing, is unique. It presents a series of 'snapshots', which collectively constitute a short film that records an unfolding exploration of personal and collective memory, of symmetry, of combinations of colour and pattern, and of variations of order and logic to create new designs. The book includes a catalogue of over 700 different decorative patterns. In several chapters, activities and problems for exploration in mathematics (teacher) education have been presented, underscoring the scientific and educational wealth of the 'sipatsi' as a mathematical construct. (422 pp.)< Less
Introducing Paulus Gerdes' Ethnomathematics Books By Paulus Gerdes
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"Introducing Paulus Gerdes' Ethnomathematics Books: A Collection of Prefaces, Forewords, Afterwords, and Afterthoughts" contains texts by Ubiratan D’Ambrosio, Bruno D’Amore,... More > Maurice Bazin, Jaime Carvalho, Marcos Cherinda, Joan Conolly, Donald Crowe, Peter Damerow, Hippolyte Fofack, Mohamed Hassan, Márcio Imenes, Abdulcarimo Ismael, Mateus Katupha, Aderemi Kuku, Sarifa Magide, Dubner Medina, Alcido Nguenha, Gaston N’Guérékata, Emília Nhalivilo, Giovanni Nicosia, Jan Persens, Arthur Powell, Harald Scheid, Erhard Scholz, Gert Schubring, Greet Van Keymeulen, and the late Dirk Struik. The colour edition (160 pp.) contains also a reproduction of the covers of the ethnomathematics books.< Less
Geometry and Basketry of the Bora in the Peruvian Amazon By Paulus Gerdes
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“Geometry and Basketry of the Bora in the Peruvian Amazon” presents geometric aspects of the making and decoration of baskets in the Bora culture (Colombian, Brazilian and Peruvian... More > Amazon). After a brief presentation of the Bora people, various aspects of the decoration of circular trays and cylindrical baskets is analysed, from their design and manufacture to the composition and colouring of finite and plane patterns. Some suggestions for the incorporation of geometrical features of Bora basketry into mathematics education are presented. This book contributes to an appreciation of the Bora scientific and cultural experience. Dubner Medina Tuesta, coordinator of the Bilingual Teacher Education Programme, wrote the Preface. The book has 170 pp. Also available from Lulu is a Supplement with images in colours (36 pp.)< Less
Introducing Paulus Gerdes' Ethnomathematics Books. A Collection of Prefaces By Paulus Gerdes
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"Introducing Paulus Gerdes' Ethnomathematics Books: A Collection of Prefaces, Forewords, Afterwords, and Afterthoughts" contains texts by Ubiratan D’Ambrosio, Bruno D’Amore,... More > Maurice Bazin, Jaime Carvalho, Marcos Cherinda, Joan Conolly, Donald Crowe, Peter Damerow, Hippolyte Fofack, Mohamed Hassan, Márcio Imenes, Abdulcarimo Ismael, Mateus Katupha, Aderemi Kuku, Sarifa Magide, Dubner Medina, Alcido Nguenha, Gaston N’Guérékata, Emília Nhalivilo, Giovanni Nicosia, Jan Persens, Arthur Powell, Harald Scheid, Erhard Scholz, Gert Schubring, Greet Van Keymeulen, and the late Dirk Struik. This black-and-white edition (134 pp.) contains only the texts. The colour edition (156 pp.)contains also a reproduction of the covers of the ethnomathematics books. Both editions are available in print and as free download.< Less
Hats from Mozambique / Chapéus de Moçambique By Paulus Gerdes
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This booklet “Hats from Mozambique” presents photographs of hats I have collected since the 1980s from the coastal regions of Mozambique. Some of the hats presented here are exceptional... More > and very rare. I trust that the photographs will convey an impression of the beauty and diversity of hats made in Mozambique, and of the creativity and imagination of the women and men who weave them (52 pages, full color).< Less
Otthava: Making Baskets and Doing Geometry in the Makhuwa Culture in the Northeast of Mozambique By Paulus Gerdes
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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... More > 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.< Less
Tinlhèlò, Interweaving Art and Mathematics: Colourful Basket Trays from the south of Mozambique By Paulus Gerdes
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The books “TINHLÈLÒ, Interweaving Art and Mathematics: Colourful Basket Trays from the South of Mozambique” exhibits and analyses coloured circular winnowing baskets... More > collected by the author since the end of the 1970s (132 pp. colour).< Less