Raymond Fletcher

Raymond Fletcher is an independent mathematician whose work is dedicated to the exploration of pure mathematics, with a focus on geometric structures and systems. His research and publications reflect a deep engagement with abstract mathematical thinking, particularly in the study of circular systems and structural relationships within mathematics.

Through his book Circle Systems and contributions to several academic volumes, his work brings together a unique perspective on mathematical ideas that are both theoretical and conceptually rich.

About the Author

Raymond Fletcher is an independent mathematician whose work is rooted in pure mathematics, with a particular focus on geometric structures and systems. His research explores conceptual frameworks within mathematics that emphasize structure, relationships, and abstraction, rather than applied or commercial modeling.

Over the course of his career, Raymond Fletcher’s work has appeared in a number of edited academic volumes, including contributions published under Springer collections edited by Bourama Toni. His published papers form part of broader interdisciplinary proceedings such as Mathematical Sciences with Multidisciplinary Applications, New Frontiers of Multidisciplinary Research in STEAM-H, and New Trends and Advanced Methods in Interdisciplinary Mathematical Sciences. Within these volumes, his contributions reflect a consistent engagement with advanced mathematical thinking and theoretical exploration.

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Puzzles Involving Polycubes, Triangulations and Polyhexes
Tiling with Hexagons And Halfstars: 2nd Edition
Tiling with Triangles, Squares & Hexagons
MIDDLEPATH PUZZLES
Tiling Games
Tiling Games II
POLYPARALLELOGRAM PUZZLES AND TILING PROBLEMS
Magic Polygons
Puzzles Involving Polycubes, Triangulations and Polyhexes
Circle Systems
A Composition Theory For Hexagonal Tilings

Our Blogs

Blog

Developing Mathematical Thinking: A Structured Approach

Mathematics is often perceived as a collection of formulas and procedures, but in reality, it is a way of thinking. Developing mathematical thinking involves cultivating the ability to analyze problems, recognize patterns, and construct logical arguments. It is a skill that extends far beyond the boundaries of the discipline itself.

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Blog

Understanding Circle Systems in Mathematics

Geometry has always been one of the most visually intuitive branches of mathematics, yet beneath its simplicity lies a profound depth. Among its many objects of study, the circle holds a special place. It is a shape defined by symmetry, balance, and continuity. When extended into systems, circles become more

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Blog

The Beauty of Pure Mathematics: Why Abstraction Matters

Pure mathematics has often been described as the most refined form of intellectual pursuit. Unlike applied mathematics, which is driven by real-world problems and practical solutions, pure mathematics is guided by curiosity, structure, and the search for deeper understanding. It is a discipline that exists not because it must, but

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Reviews From Happy Learners

Trusted feedback from learners who have engaged with his mathematical work and ideas..

“Raymond Fletcher’s work presents a deeply structured and thought-provoking approach to pure mathematics. His ideas on geometric systems are both original and intellectually engaging.”

Dr. Michael Harris Professor of Mathematics

“The clarity and depth in his mathematical concepts are impressive. His work encourages a more disciplined and conceptual way of thinking about mathematics.”

James Carter Graduate Researcher, Applied Mathematics

“His approach to abstract mathematical structures is unique and highly insightful. It challenges conventional thinking in a very meaningful way.”

Dr. Emily Roberts Lecturer in Mathematical Sciences

A Composition Theory for Hexagonal Tilings

A Composition Theory for Hexagonal Tilings presents a comprehensive study of composition invariance in hexagonal tilings, expanding foundational work in geometric tiling theory through rigorous mathematical analysis and original research.

Raymond R. Fletcher III introduces a unified framework for understanding λ-polygons and α-polygons, demonstrating how composition invariance extends across a broad class of hexagonally structured polygons. The book develops new theoretical tools, including alternating polygons, derivatives and antiderivatives, dual constructions, and 4-quadrilateral tilings, culminating in new results on strong composition equivalence and the Law of Odd.