An Introduction to the Theory of Tilings
📜 Abstract
This paper is intended to be an elementary introduction to the theory of tilings. It is based on two lectures given at the meetings of the British Mathematical Colloquium held at Bangor in 1977 and Lancaster in 1979.
✨ Summary
Summary
The paper titled “An Introduction to the Theory of Tilings” by G.C. Shephard, published in 1987, serves as a foundational text for those interested in the study of tiling-theory. It offers a comprehensive overview of the mathematical concepts involved in tiling and has been used as a fundamental reference for researchers exploring geometric and combinatorial aspects of tiling.
Influence
This paper has had a profound influence primarily in mathematical tiling and related fields. It is often cited by researchers dealing with symmetry, patterns, and tessellations in geometry. While it does not appear to have directly influenced industrial applications, it has significantly contributed to academic research, as noted in later studies such as The Mathematical Intelligencer and works on geometric symmetry.
References
- The paper has been referenced in research concerning symmetry in tilings and further theoretical developments, such as the symmetry studies in “The Mathematical Intelligencer”.
- The Mathematical Intelligencer has cited the work in discussions on geometric symmetry. The exact citations of the paper in follow-up research can be accessed in libraries hosting archives of mathematical journals and publications.
However, a more thorough citation record was not readily available in public domains or recent databases. The work remains mainly within foundational and educational circles rather than extending into specific technological or industrial implementations.