Non-euclidean Virtual Reality I: Explorations of H³
Inhaltsverzeichnis
Referenz
Vi Hart, Andrea Hawksley, Elisabetta Matsumoto and Henry Segerman: Non-euclidean Virtual Reality I: Explorations of H³. In: Bridges 2017, Pages 33–40.
DOI
Abstract
We describe our initial explorations in simulating non-euclidean geometries in virtual reality. Our simulations of three- dimensional hyperbolic space are available at h3.hypernom.com. The code is available at github.com/hawksley/hypVR.
Extended Abstract
Bibtex
@inproceedings{bridges2017:33,
author = {Vi Hart, Andrea Hawksley, Elisabetta Matsumoto and Henry Segerman},
title = {Non-euclidean Virtual Reality I: Explorations of H\ensuremathVorlage:^3},
pages = {33--40},
booktitle = {Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture},
year = {2017},
editor = {David Swart, Carlo H. S\'equin, and Krist\'of Fenyvesi},
isbn = {978-1-938664-22-9},
issn = {1099-6702},
publisher = {Tessellations Publishing},
address = {Phoenix, Arizona},
note = {Available online at \url{http://archive.bridgesmathart.org/2017/bridges2017-33.pdf}}
}
Used References
[1] Vi Hart, Andrea Hawksley, Elisabetta A. Matsumoto, and Henry Segerman. Non-euclidean virtual reality II: explorations of H2 � E. In Proc. Bridges 2017. Tessellations Publishing, 2017.
[2] Vi Hart, Andrea Hawksley, Henry Segerman, and Marc ten Bosch. Hypernom: Mapping VR headset orientation to S3. In Proc. Bridges 2015, pages 387–390. Tessellations Publishing, 2015.
[3] Vi Hart and Henry Segerman. The quaternion group as a symmetry group. In Proc. Bridges 2014, pages 143–150. Tessellations Publishing, 2014.
[4] Roice Nelson and Henry Segerman. Visualizing hyperbolic honeycombs. Journal of Mathematics and the Arts, 11(1):4– 39, 2017.
[5] Jeff Weeks. Curved Spaces. a flight simulator for multiconnected universes, available from http://www.geometrygames.org/CurvedSpaces/.
[6] Jeff Weeks. Real-time rendering in curved spaces. IEEE Computer Graphics and Applications, 22(6):90–99, 2002.
Links
Full Text
http://archive.bridgesmathart.org/2017/bridges2017-33.pdf
