Symmetries in Graphs, Maps, and Polytopes

Chapter 1 Powers of Skew-Morphisms

Chapter 2 Census of Quadrangle Groups Inclusions

Chapter 3 Some Unexpected Consequences of Symmetry Computations

Chapter 4 A 3D Spinorial View of 4D Exceptional Phenomena

Chapter 5 Möbius Inversion in Suzuki Groups and Enumeration of Regular Objects

Chapter 7 On Pentagonal Geometries with Block Size 3, 4 or 5

Chapter 8 The Grothendieck-Teichmüller Group of a Finite Group and $${\varvec{G}}$$ G -Dessins d’enfants

Chapter 9 Discrete Groups and Surface Automorphisms: A Theorem of A.M. Macbeath

Chapter 10 Isometric Point-Circle Configurations on Surfaces from Uniform Maps

Chapter 11 Dessins, Their Delta-Matroids and Partial Duals

Chapter 12 Faithful Embeddings of Planar Graphs on Orientable Closed Surfaces

Chapter 13 The Higher Dimensional Hemicuboctahedron

Chapter 14 Groups of Order at Most 6,000 Generated by Two Elements, One of Which Is an Involution, and Related Structures

Chapter 15 Even-Integer Continued Fractions and the Farey Tree

Chapter 16 Triangle Groups and Maps

Chapter 17 Nilpotent Symmetric Dessins of Class Two