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updated version is published in Mathematical Intelligencer, Vol. 23, No. 2, pp. 17-28, Spring 2001. David W. Henderson Department of Mathematics, Cornell University, Ithaca, NY, USA, dwh2@cornell.edu Daina Taimiða Department of Mathematics, Cornell University, dtaimina@math.cornell.edu For God's sake, please give it up. Wolfgang Bolyai urging his son János Bolyai to give up work on hyperbolic geometry. In June of 1997, Daina was in a workshop watching the leader of the workshop, David, helping the participants study ideas of hyperbolic geometry using a paper and tape surface in much the same way that one can study ideas of spherical geometry by using the surface of a physical ball. But, Wait! Constructions of Hyperbolic Planes We will describe three different isometric constructions of the hyperbolic plane (or approximations to the hyperbolic plane) as surfaces in 3-space. 1. This is the paper and tape surface that David learned from William Thruston. Figure 1. 2. Figure 2. Figure 3. 3. 1.

Math Isn't Just Computation. So Why Is That All We Teach? - Education \n A reader named Monika Hardy recently noticed that I harp a lot on the importance of math when blogging about education. (Guilty as charged.) So, she sent me an excellent talk from the recent TEDGlobal event from this summer. The elements of math, according to Wolfram are: posing questions, translating real world problems into mathematical language, performing computation, and translating mathematical answers into real world solutions. Computers should be doing those calculations. What about the processes needed to solve mathematical problems? Check out the video, it's really good stuff—at least, I think so. \n A reader named Monika Hardy recently noticed that I harp a lot on the importance of math when blogging about education. The elements of math, according to Wolfram are: posing questions, translating real world problems into mathematical language, performing computation, and translating mathematical answers into real world solutions. Computers should be doing those calculations.

Learning to Hyperbolic Crochet - Experimental Algebra and Geometry Lab Before creating your own Hyperbolic Plane, one must first learn basic crochet skills such as:how to make a chain and how to single crochet. For additional assistance on learning how to make a chain and single crochet, click the following links for instructional videos:Starting ChainSingle Crochet. Once you learn those two crochet skills, it is time to move on to the Hyperbolic Crochet. Follow the next steps to create a the Hyperbolic Plane: Step 0. The following links provide more explanation and detail:Hyperbolic Crochet Video by the Institute for FiguringCrocheting the Hyperbolic Plane by Professors Taimina and HendersonCrochet Hyperbolic Corals by the Institute for Figuring Contact Dr.

fuckyeahmath.tumblr.com/page/6 Patterns Everyone who has crocheted before has practiced hyperbolic crochet! When you crochet ripples, ruffles, curls and twists you are creating hyperbolic coral reef like forms. Here are some links to various free patterns to help get you started, including a knit shell pattern ( in case you prefer to knit:-) Please keep in mind that this will be a large display. Work of all sizes will be needed including large versions of whatever you want to create. I suggest using these patterns as inspiration. I can't wait to see your creations! note: Please follow any copyright requests made by designers. Basic Hyperbolic Plane pattern - beginner Basic Pseudosphere pattern - beginner Basic Crochet Pseudosphere Coral pattern - beginner Pink Anemone Oasis pattern - advanced beginner (just have to know how to follow a simple pattern) Lion Brand - Basic "How to Crochet" Instructions & video Cobblers Cabin -Chrysanthemum - a basic coral form Lion Brand Kelp Patterns: one, two, three, four, five, and six Sea Mouse