Daina Taimina's Crocheting Adventures with Hyperbolic Planes PDF

By Daina Taimina

ISBN-10: 1568814526

ISBN-13: 9781568814520

Crocheting Adventures with Hyperbolic Planes is a piece of gargantuan proportions whose effect may be measured for many years to come back. Delightfully outstanding but right down to earth, Daina Taimina brings jointly the simplest points of correct mind mind's eye and risk-taking with left mind proof, practicality, and development belief, making a win-win state of affairs that everybody will take pleasure in. Lavish with images through the ebook, the artwork is creatively positioned in nature and the maths schematics are crisp and transparent. This publication is a needs to for the bookshelves of crochet.

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Additional info for Crocheting Adventures with Hyperbolic Planes

Sample text

Later, arcs and circles were used by the Greeks to decorate amphora (or storage vessels) and kraters (or two-handled jars for mixing wine with water) in the tenth century BC, known as the Protogeometric Period. Then, more elaborate geometric patterns, such as meanders, zigzags, and triangles, as well as animal and human figures, were used to decorate kraters in the ninth and eighth centuries BC in the full Geometric Period. Art/Pattern Strand 39 We can view many geometric symbols as a way to convey ancient cosmological knowledge.

40 Chapter 3. Four Strands in the History of Geometry Celtic art spans almost 17 centuries from the early Iron Age to the Anglo-Norman invasion of Ireland in the twelfth century. 3 The sona illustrate proverbs, fables, games, riddles, and stories about animals. The storyteller starts by making a series of dots, evenly spaced, in a rectangle. Each drawing has a set number of rows and columns. The drawing itself is made up of a continuous line drawn around the dots. 4 The storyteller must draw and talk at the same time.

That’s all you need in terms of crochet basics. Now you can go ahead and make your own hyperbolic plane. You have to increase (by the above procedure) the number of stitches from one row to the next in a constant ratio, N to N + 1; this ratio N/(N + 1) determines the radius of the hyperbolic plane. (See Chapter 2 and the appendix). You can experiment with different ratios but not in the same model. You will get a hyperbolic plane only if you increase the number of stitches in the same ratio all the time.

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Crocheting Adventures with Hyperbolic Planes by Daina Taimina

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