Crocheting the hyperbolic plane

@article{Henderson2001CrochetingTH,
  title={Crocheting the hyperbolic plane},
  author={D. Henderson and Daina Taimina},
  journal={The Mathematical Intelligencer},
  year={2001},
  volume={23},
  pages={17-28}
}
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52 Citations
Highly Influential Citations
2
Background Citations
20
Methods Citations
9

52 Citations

Citation Type

Citation Type

A brief look at the evolution of modeling hyperbolic space
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Crocheting adventures with hyperbolic planes
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TLDR
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Do the Angles of a Triangle Add up to 180{\deg}? -- Introducing Non-Euclidean Geometry
How canwe convince students, who havemainly learned to follow givenmathematical rules, that mathematics can also be fascinating, creative, and beautiful? In this paper I discuss different ways of… Expand
Geometric approach to mechanical design principles in continuous elastic sheets
Using a geometric formalism of elasticity theory we develop a systematic theoretical method for controlling and manipulating the mechanical response of slender solids to external loads. We formally… Expand
Using isometries for computational design and fabrication
We solve the task of representing free forms by an arrangement of panels that are manufacturable by precise isometric bending of surfaces made from a small number of molds. In fact we manage to solve… Expand
Distributed branch points and the shape of hyperbolic surfaces
We develop a theory for distributed branch points and their role in determining the shape and influencing the mechanics of thin hyperbolic objects. We show that branch points are the natural… Expand
Happy Hookers: findings from an international study exploring the effects of crochet on wellbeing
TLDR
Crochet is a relatively low-cost, portable activity that can be easily learnt and seems to convey all of the positive benefits provided by knitting, adding to the social prescribing evidence base. Expand
Representation of Crochet Stitches using a Tile-Based Method
Crochet is a type of fabrication that allows for flexible manipulation of the yarn in order to create different objects. There exists an international crochet notation that can be used to pictorially… Expand
Representing Crochet with Stitch Meshes
TLDR
This work introduces a special edge type which captures the idea of the current loop – the loop of yarn held on the crochet hook during fabrication, and creates a library of mesh face types which model commonly-used crochet stitches. Expand
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Ueber Flächen von constanter Gaussscher Krümmung