Intro
Preface
Organization
Contents
Theoretical Perspectives
Introducing the Diagrammatic Semiotic Mode
1 Introduction
2 A Multimodal Perspective on Diagrams
3 Multimodal Diagram Corpora
3.1 The Allen Institute for Artificial Intelligence Diagrams Dataset
3.2 AI2D-RST
A Multimodally-Motivated Annotation Schema
3.3 Next Step: Adding Discourse-Driven Decomposition to AI2D-RST
4 Discussion
5 Conclusion
References
On Computing Optimal Linear Diagrams
1 Introduction
2 Preliminaries
3 Complexity of Linear Diagrams
4 TSP Model

4.1 Solving Linear Diagrams with TSP
4.2 Priorities for Sets
4.3 A Weighted Version
4.4 Hierarchical Constraints
5 Experiments
5.1 Setup and Test Data
5.2 Computing Optimal Linear Diagrams
5.3 Constraints
6 Conclusion
References
Visual Proofs as Counterexamples to the Standard View of Informal Mathematical Proofs?
1 Introduction
2 Azzouni's Counterexample to the Standard View
3 The Standard View of Mathematical Rigor and Proof
4 Mathematicians on Visual Proofs
5 Azzouni's Critique Towards the Standard View Revisited

5.1 Figure1 and the Corresponding Epistemic Process
5.2 Visual Proofs as Counterexamples to the Standard View?
6 Conclusion
References
Representational Interpretive Structure: Theory and Notation
1 Introduction
2 Representation Interpretation Theory/Notation
RIST/RISN
2.1 Four Schemas
2.2 Linking Schemas
3 Idioms: Higher-Order Structures
3.1 Collections
3.2 R-Dimension Idioms
3.3 Coordinate Systems
4 Diversity of Interpretations
5 Discussion
References
Mixing Colors, Mixing Logics
1 Introduction
2 Term Logics

3 Mixing Colors, Mixing Logics
4 Conclusions
References
Normatively Determined Propositions
1 Introduction
2 Formal Setting
3 Geometrical Representations
4 Final Remarks
References
A Diagram Must Never Be Ten Thousand Words: Text-Based (Sentential) Approaches to Diagrams Accessibility Limit Users' Potential for Normative Agency
1 Introduction
2 Diagrammatic Representation and "Free Rides"
3 Accessibility Issues of Diagrams
4 Relationships of Constraints, Possibilities for Action, and Connections with Human Rights

5 Providing Normative Agency with Accessible Diagram Design
6 Conclusion
References
History
Combing Graphs and Eulerian Diagrams in Eristic
1 Introduction
2 Current Research Results and Problems
3 Graph Theory
4 Interpretations and Discussion
5 An Example of a Controversy
6 Summary and Outlook
References
Taming the Irrational Through Musical Diagrams
from Boethius to Oresme and Nemorarius
1 Ratios, Measuring Intervals and Proportions
2 Epimoric Ratios as a Measure for Musical Intervals
3 Boethius Triangles and Nemorarius Webs