This report is a documentation of my trial-and-error design process to find a symmetrical embedding of the regular map R5.13 on a genus-5 2-manifold. It documents the non-linear way in which my mind homed-in on a valid solution and then refined that solution to obtain a satisfactory geometrical model. This design-thinking log may serve as a case study for a design approach that switches back and forth between doodling with physical materials, computer-aided template and model construction, and verification of the results on tangible visualization models. Lessons learned on R5.13 were subsequently applied to solve the embedding of the regular map R5.6.
Title
Symmetrical Embeddings of Regular Maps R5.13 and R5.6
Published
November 20,2010
Full Collection Name
Electrical Engineering & Computer Sciences Technical Reports
Other Identifiers
EECS-2010-137
Type
Text
Extent
26 p
Archive
The Engineering Library
Usage Statement
Researchers may make free and open use of the UC Berkeley Library’s digitized public domain materials. However, some materials in our online collections may be protected by U.S. copyright law (Title 17, U.S.C.). Use or reproduction of materials protected by copyright beyond that allowed by fair use (Title 17, U.S.C. § 107) requires permission from the copyright owners. The use or reproduction of some materials may also be restricted by terms of University of California gift or purchase agreements, privacy and publicity rights, or trademark law. Responsibility for determining rights status and permissibility of any use or reproduction rests exclusively with the researcher. To learn more or make inquiries, please see our permissions policies (https://www.lib.berkeley.edu/about/permissions-policies).