The Mabinogion Set : The Fractal Structure of the Four Branches of the Mabinogi

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The Mabinogion Set : The Fractal Structure of the Four Branches of the Mabinogi

Petrovskaia, Natalia I.

ウェブストア価格 ¥6,713（本体¥6,103）
University of Wales Press（2026/04発売）
外貨定価 US$ 32.00
ポイント 61pt

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製本 Paperback:紙装版/ペーパーバック版／ページ数 264 p.
言語 ENG
商品コード 9781837723355

Full Description

The Mabinogion Set is a book about the most famous of medieval Welsh stories: the Four Branches of the Mabinogi. It is also a book about a mathematical phenomenon: fractals. Fractals are mathematical patterns that repeat at every scale, and this study argues that, like natural fractals (snowflakes, tree branches), the Four Branches of the Mabinogi have a repeating structure. In putting forward this new theory, The Mabinogion Set proposes a new type of structural analysis: formal narrative topology, which pays attention not to themes or plot elements but to patterns of repetition within a story. The author also explores the implications of a topological analysis of the Four Branches on our understanding of their possible oral or written origins, authorship, transmission, memorability and performance.

Contents
Figures
Tables
Acknowledgments
PART I: THE FOUR BRANCHES AND FRACTALS
Chapter 1: Introduction
Mathematics and the Mabinogion Set
Studying Fractal Narrative Structure
The Structure of This Book
Chapter 2: Introducing the Mabinogion Set
Linear and Non-Linear Narratives
The Non-Linearity of Medieval Welsh Narratives
The Topology of Textual Fractals
PART II: FRACTAL STRUCTURES IN THE FOUR BRANCHES OF THE MABINOGI
Chapter 3: The First Branch of the Mabinogi (Pwyll)
First Branch Episode I
First Branch Episode II
First Branch Episode III
Chapter 4: The Second Branch of the Mabinogi (Branwen)
Second Branch Episode I
Second Branch Episode II
Second Branch Episode III
Chapter 5: The Third Branch of the Mabinogi (Manawydan)
Third Branch Episode I
Third Branch Episode II
Third Branch Episode III
Chapter 6: The Fourth Branch of the Mabinogi (Math)
Fourth Branch Episode I
Fourth Branch Episode II
Fourth Branch Episode III
PART III: SPEAKING ABOUT MATH... AND MATH
Chapter 7: Why Four Branches?
The Immanent Whole
Triads and Tetrads
Questions of Unity
Is the Fourth Branch Special?
Chapter 8: The Mabinogion Set, Orality and Memory
Oral Composition?
Oral Performance
A Question of Memory
Chapter 9: Conclusions. Triads Everywhere
The Law of Three and Numerical Patterns in Other Narrative Traditions
What Topological Analysis Tells Us
Whither now?
Abbreviations
Bibliography
Manuscripts
Primary sources
Secondary Sources