## 55 Citations

A brief look at the evolution of modeling hyperbolic space

- MathematicsThe 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

- Computer Science
- 2010

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

- ArtCreativity & Cognition
- 2022

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

- Physics
- 2022

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

- EducationEuropean 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

- Computer Science, ArtArXiv
- 2021

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

- MathematicsACM Transactions on Graphics
- 2021

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

- Physics
- 2021

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

- Materials Science
- 2021

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

- MathematicsJ. Nonlinear Sci.
- 2021

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.

## References

SHOWING 1-10 OF 10 REFERENCES

Three-Dimensional Geometry and Topology, Volume 1

- Mathematics
- 1997

is a recursive definition!) The first term of the 'Goodstein sequence' of a number is the number itself. The nth term of the Goodstein sequence is obtained by expressing the previous term in 'pure…

Geometry and the Imagination

- Mathematics, Physics
- 1952

The simplest curves and surfaces Regular systems of points Projective configurations Differential geometry Kinematics Topology Index.

Differential Geometry: A Geometric Introduction

- Mathematics
- 1997

Preface. How to Use This Book. 1. Surfaces and Straightness. When Do You Call a Straight Line? How Do You Construct a Straight Line? Local (and Infinitesimal) Straightness. Intrinsic Straight Lines…

Experiencing Geometry: In Euclidean, Spherical and Hyperbolic Spaces

- Mathematics
- 2000

1. What Is Straight? Problem 1.1: When Do You Call a Line Straight? How Do You Construct a Straight Line? The Symmetries of a Line. Local (and Infinitesimal) Straightness. 2. Straightness on Spheres.…

A comprehensive introduction to differential geometry

- Mathematics
- 1975

Spivak's Comprehensive introduction takes as its theme the classical roots of contemporary differential geometry. Spivak explains his Main Premise (my term) as follows: "in order for an introduction…

Three-dimensional geometry and topology

- Mathematics
- 1997

Preface Reader's Advisory Ch. 1. What Is a Manifold? 3 Ch. 2. Hyperbolic Geometry and Its Friends 43 Ch. 3. Geometric Manifolds 109 Ch. 4. The Structure of Discrete Groups 209 Glossary 289…