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SimplicialSurfaces

Computing with simplicial surfaces and folding processes.

0.7

11 April 2025

Alice Niemeyer
Email: Alice.Niemeyer@Mathb.RWTH-Aachen.De
Homepage: http://www.math.rwth-aachen.de/~Alice.Niemeyer/
Address:
Alice Niemeyer
Lehrstuhl für Algebra und Darstellungstheorie
RWTH Aachen
Pontdriesch 10/16
52062 Aachen
GERMANY

Markus Baumeister
Email: baumeister@mathb.rwth-aachen.de
Homepage: https://markusbaumeister.github.io/
Address:
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Reymond Akpanya
Email: akpanya@art.rwth-aachen.de
Address:
--

Tom Görtzen
Email: goertzen@art.rwth-aachen.de
Address:
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Meike Weiß
Email: weiss@art.rwth-aachen.de
Address:
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Lukas Schnelle
Email: lukas.schnelle1@rwth-aachen.de
Address:
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Copyright

© 2016-2025 by Alice Niemeyer and Markus Baumeister

This package may be distributed under the terms and conditions of the GNU Public License Version 3 (or higher).

The primary sources for much of the covered material are:

The PhD-thesis "Regularity Aspects for Combinatorial Simplicial Surfaces" of Markus Baumeister

The book "Simplicial Surfaces of Congruent Triangles" by Alice C. Niemeyer, Wilhelm Plesken, Daniel Robertz, and Ansgar W. Strzelczyk (unpublished)

Contents

1 Getting started
2 Polygonal Structures
3 Access to the incidence geometry
4 Constructing surfaces by their incidence structure
5 Access to twisted polygonal complexes
6 Example Applications
7 Homomorphisms
8 Paths and orientations
9 Properties of surfaces and complexes
10 Navigating the incidence structure
11 Distances
12 Modification of polygonal complexes
13 Generating certain simplicial surfaces
14 Library of predefined surfaces
15 Graphs and isomorphisms
16 Constructing Families of Simplicial Surfaces
17 Nets and embeddings
18 Animating surfaces with Java Script
19 Edge colourings
20 Edge vari-colourings
21 Edge isosceles-colourings
22 Flags
23 Example Implementations
Index

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