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279 results for "gerd"
Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries By Paulus Gerdes
eBook (PDF): $4.95
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
Otthava: Making Baskets and Doing Geometry in the Makhuwa Culture in the Northeast of Mozambique By Paulus Gerdes
Paperback: $24.95
Prints in 3-5 business days
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
Sipatsi: Basketry and Geometry in the Tonga Culture of Inhambane (Mozambique, Africa) By Paulus Gerdes
eBook (ePub): $6.95
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
Sipatsi: Basketry and Geometry in the Tonga Culture of Inhambane (Mozambique, Africa) By Paulus Gerdes
Paperback: $29.96
Prints in 3-5 business days
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
Lunda Geometry: Mirror Curves, Designs, Knots, Polyominoes, Patterns, Symmetries By Paulus Gerdes
eBook (ePub): $4.95
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... More > 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
OTTHAVA: Making Baskets and Doing Geometry in the Makhuwa Culture in the Northeast of Mozambique (Colour edition) By Paulus Gerdes
Paperback: $52.99
Prints in 3-5 business days
The book analyses practices in the Makhuwa culture, which provide evidence of the geometric considerations operating in basket weaving, and are suitable and appropriate for mathematical and... More > 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, and its contribution to Mozambican culture as a whole. The practices presented 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 (Chapter 1), hats (Chapter 2), fish traps (Chapter 3), containers (Chapter 4), trays (Chapter 5), dance rattles (Chapter 6), purses (Chapter 7), decorated braids (Chapter 8), baskets and handbags (Chapters 9 and 10), knots (Chapter 11) and circular mats (Appendix 3). Over 300 illustrations and photographs in colour (292 pp.)< Less
Geometry and Basketry of the Bora in the Peruvian Amazon By Paulus Gerdes
eBook (ePub): $4.95
"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 Amazon).... More > 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< Less
Made for Me By Sarah Gerdes
eBook (PDF): $4.99
Recruited to Switzerland for her dream job, Danielle Grant's goals are disrupted when she falls in love. Unexpectedly, she is forced to choose between the safe path of immediate gratification and the... More > harder road that may provide genuine happiness and fulfillment. Danielle's journey continues in Destined for You, the second book in the Danielle Grant Series. Read the first ten chapters for free at sarahgerdes.com.< Less
Geometry and Basketry of the Bora in the Peruvian Amazon (Colour edition) By Paulus Gerdes
Paperback: $37.95
Prints in 3-5 business days
The book “Geometry and Basketry of the Bora in the Peruvian Amazon” presents some geometric aspects of the making and decoration of baskets in the Bora culture. The Bora live along the... More > upper Cahuinari and the Igara-Paraná rivers in the Colombian, Brazilian and Peruvian Amazon. This book contributes to an appreciation of the Bora scientific and cultural experience, and in particular, to the education of the future generations. A significant facet of geometrical research consists of finding all possible configurations that satisfy certain conditions. The Bora basket weavers excel herein. Professor Dubner Medina Tuesta coordinator of the Bilingual Teacher Education Programme of the Peruvian Amazon wrote the Foreword. Colour edition 2013: 176 pp., 52 photographs, 152 figures. In 2009 a black-and-white edition was published.< Less
Sipatsi Images in Colour: A Supplement By Paulus Gerdes
Paperback: $16.95
Prints in 3-5 business days
The supplement (56 pp.) of the book "Sipatsi: Basketry and Geometry in the Tonga Culture of Inhambane (Mozambique, Africa)" (Lulu, 2009, 422 pp.) contains the original colour images of the... More > black-and-white photographs photographs included in the aforementioned book.< Less

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