Carlo H. Séquin

EECS Department, University of California, Berkeley

Technical Report No. UCB/EECS-2010-137

November 20, 2010

http://www2.eecs.berkeley.edu/Pubs/TechRpts/2010/EECS-2010-137.pdf

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.

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BibTeX citation:

@techreport{Séquin:EECS-2010-137,
    Author= {Séquin, Carlo H.},
    Title= {Symmetrical Embeddings of Regular Maps R5.13 and R5.6},
    Year= {2010},
    Month= {Nov},
    Url= {http://www2.eecs.berkeley.edu/Pubs/TechRpts/2010/EECS-2010-137.html},
    Number= {UCB/EECS-2010-137},
    Abstract= {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.},
}

EndNote citation:

%0 Report
%A Séquin, Carlo H. 
%T Symmetrical Embeddings of Regular Maps R5.13 and R5.6
%I EECS Department, University of California, Berkeley
%D 2010
%8 November 20
%@ UCB/EECS-2010-137
%U http://www2.eecs.berkeley.edu/Pubs/TechRpts/2010/EECS-2010-137.html
%F Séquin:EECS-2010-137