Crocheting the hyperbolic plane

@article{Henderson2001CrochetingTH,
  title={Crocheting the hyperbolic plane},
  author={David W. Henderson and Daina Taimina},
  journal={The Mathematical Intelligencer},
  year={2001},
  volume={23},
  pages={17-28}
}
View on Springer
55 Citations
Highly Influential Citations
2
Background Citations
21
Methods Citations
9

55 Citations

A brief look at the evolution of modeling hyperbolic space
  • S. Frazier
  • Mathematics
    The Mathematics Enthusiast
  • 2017
(ProQuest: ... denotes formulae omitted.)IntroductionThe original introduction of hyperbolic geometry, also known as non-Euclidean or Lobachevskian geometry, was not widely celebrated. At the time,…
Crocheting adventures with hyperbolic planes
TLDR
In Chapter 7, one works with data sets as inputs for the parameters defined in programs constructing models, which might be images or environmental data such as temperature, wind or the sun’s azimuth and elevation.
Visualizing Crocheting Overlay
Crafts are human-material interaction. Documentation of handicrafts is challenging and needs creativity because individual craftwork heavily depends on the understanding of the materials at hand and…
Shearman, Toby L.; Venkataramani, Shankar C. Distributed branch points and the shape of elastic surfaces with constant negative curvature
The authors argue that these surfaces are good candidates for minimizing bending energy. By using the discrete model, they made numerical experiments that corroborates this expectation. They also…
Oceans of Inspiration: A Marine Based STEAM Project
  • Julie Boyle
  • Education
    European Journal of STEM Education
  • 2021
This paper describes a set of project-based learning activities focused on a theme of the oceans and marine life. Whilst still providing a clear link to existing physics curricula, the STEAM…
Navigating Higher Dimensional Spaces using Hyperbolic Geometry
TLDR
This work introduces a novel method of interactive visualization of higher-dimensional grids, based on hyperbolic geometry, making it applicable in data visualization, user interfaces, and game design.
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…
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…
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…
Distributed Branch Points and the Shape of Elastic Surfaces with Constant Negative Curvature
TLDR
It is argued that, to optimize norms of the curvature, i.e., the bending energy, distributed branch points are energetically preferred in sufficiently large pseudospherical surfaces.
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