Preface; Part 1 Introducing the Bell; 1 The Notion of Iterations; 2 Interpolating Wires; 3 Textures on Interpolating Wires; 4 The Bell as a Shadow; 5 Wires and Bells in Higher Dimensions; 6 Exotic Patterns Inside the Bell; 7 Natural Sets Inside the Bell; 8 More Treasures Inside the Bell; The Silent Bell; Part 2 Gallery Designs; Radial Patterns; Rotational Patterns; Evolutions & Quilts; Part 3 Technical Notes; Index
Summary
Generalized versions of the central limit theorem that lead to Gaussian distributions over one and higher dimensions, via arbitrary iterations of simple mappings, have recently been discovered by the author of this publication and his collaborators. Treasures Inside the Bell: Hidden Order in Chance reveals how these new constructions result in infinite exotic kaleidoscopic decompositions of two-dimensional circular bells in terms of beautiful deterministic patterns possessing arbitrary n-fold symmetries. These are patterns that, while reminding us of the infinite structure previously found in
