We present novel methods for real-time native geodesic rendering of anisotropic geometries
ℍ 2× ℝ, S 2× ℝ, Solv and similar geometries, Nil, twisted ℍ 2× ℝ. We also include partial …

In the last decade, it has become increasingly possible for researchers to augment their
experience of abstract mathematics with sensory exploration: 3D-printed or CNC-milled …

Curved spaces are very un-intuitive to our eyes trained on Euclidean geometry. Games
provide an interesting way to explore these strange worlds. Games are written with the help …

Shapes in Action is a book for all those interested in interdisciplinary research and
education. It showcases explorations in the realms of mathematics, art, design and …

Some tasks that do not have solutions in euclidean space have solutions in other non-
euclidean spaces. For this edition of the IEEEVR 3 DUI contest, we are offering users the …

In this expository paper, we present a survey about the history of the geometrization
conjecture and the background material on the classification of Thurston's eight geometries …

The paper considers the case of faceted solids and discusses visualisation of geometric
solids in the form of a three-parameter set of points which belongs to a three-dimensional …

It is no exaggeration to say that Banff, Alberta, Canada is one of the most beautiful places on
earth. The town sits within a Canadian national park and is surrounded by mountains on all …

3D graphics are currently being used in games, movies, cartoons and engineering. Most
things like cars, planes, houses, and portable devices need to have a 3D model of …

Our goal for the Geometry: Education, Art, and Research online conference (GEAR2021)
was to create a dialogue between researchers, educators, and artists. We aimed to provide …