# Semi-equivelar maps on the surface of Euler characteristic -1

Source: [Semi-equivelar maps on the surface of Euler characteristic -1](<https://www.sota2.com/research/paper/68fa508a1e209131ce96c564>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T10:55:36.419Z

Authors: Ashish K Upadhyay, Anand K Tiwari

Published: 2013-10-19T12:05:00.000Z

## Abstract

Semi-Equivelar maps are generalizations of Archimedean solids to the surfaces other than 2-sphere. In earlier work a complete classification of semi-equivelar map of type $(3^5, 4)$ on the surface of Euler characteristic -1 was given. In the meantime Karabas an Nedela classified vertex transitive semi-equivelar maps on the double torus. In this article we study the types of semi-equivelar maps on double torus that are also available on the surface of Euler characteristic -1. We classify them and show that none of them are vertex transitive.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1310.5219>)

[PDF](<https://arxiv.org/pdf/1310.5219.pdf>)