1 Introduction
2 The Subject and Its Origin
3 The Triangle Inequality
3.1 The Triangle Inequality in Minkowski Planes
3.2 Strict Convexity
3.3 Interlude: Intersection of Homothets of a Fixed Convex Curve
3.4 Generalization of the Triangle Inequality to Convex Curves
3.5 The Monotonicity Lemma
4 Equilateral Triangles and Affine Regular Hexagons
5 Equilateral Sets
5.1 Four-Point Equilateral Sets
5.2 Equilateral Sets in Higher Dimensions
6 Normality, Conjugate Diameters, and Radon Curves
6.1 Planes
6.2 Higher Dimensions
6.3 Non-Symmetric Curves
7 Minkowski Circles
7.1 Circumscribed and Inscribed Circles
7.2 Equilateral n-Gons Inscribed in the Unit Circle
7.3 Characterization of the Minkowski Circle
7.4 Circumference and Area of the Unit Circle