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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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