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Proofs from THE BOOK || Tiling rectangles

✍ Scribed by Aigner, Martin; Ziegler, Günter M.


Book ID
120305703
Publisher
Springer Berlin Heidelberg
Year
2010
Weight
454 KB
Category
Article
ISBN
3642008569

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Proofs from THE BOOK
✍ Aigner M., Ziegler G.M. 📂 Library 📅 2006 🏛 Springer 🌐 Italian ⚖ 3 MB
Proofs from the Book
✍ Martin Aigner, Günter M. Ziegler, Karl H. Hofmann 📂 Library 📅 2009 🏛 Springer 🌐 English ⚖ 8 MB

"... Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs

Tiling a Rectangle with the Fewest Squar
✍ Richard Kenyon 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 594 KB

We show that a square-tiling of a p\_q rectangle, where p and q are relatively prime integers, has at least log 2 p squares. If q>p we construct a square-tiling with less than qÂp+C log p squares of integer size, for some universal constant C.

Proofs (Not) from The Book
✍ Tabachnikov, S. 📂 Article 📅 2013 🏛 Springer-Verlag 🌐 English ⚖ 504 KB