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The book is on the use of crochet to make physical surfaces with the geometry of the hyperbolic plane. The full hyperbolic plane cannot be embedded smoothly into three-dimensional space, but pieces of it can. Past researchers had made models of these surfaces out of paper, but Taimiņa's work is the first work to do so using textile arts. [1]
Crochet and Math meet beautiful mind, Crochet Insider, archived from the original on 2011-07-08. Daina Taimina, Community Arts Partnership. Exhibition on Crocheting Hyperbolic Space, The Institute For Figuring. TEDxRiga talk Crocheting Hyperbolic Planes: Daina Taimiņa at TEDxRiga
The Lorenz manifold and the hyperbolic plane have been crafted using crochet. [2] [3] Knitted and crocheted tori have also been constructed depicting toroidal embeddings of the complete graph K 7 and of the Heawood graph. [4]
The art of crochet has been used to demonstrate hyperbolic planes, the first such demonstration having been made by Daina Taimiņa. [ 28 ] In 2000, Keith Henderson demonstrated a quick-to-make paper model dubbed the " hyperbolic soccerball " (more precisely, a truncated order-7 triangular tiling ).
The metric of the model on the half-plane, { , >}, is: = + ()where s measures the length along a (possibly curved) line. The straight lines in the hyperbolic plane (geodesics for this metric tensor, i.e., curves which minimize the distance) are represented in this model by circular arcs perpendicular to the x-axis (half-circles whose centers are on the x-axis) and straight vertical rays ...
President Donald Trump has issued a slew of executive orders (EO) since beginning his second term, including one that may have an impact on your tax refund.One of Trump’s EOs initiated a hiring ...
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