>>>>>>>> Highly Recommended By Martin Gardner <<<<<<<<
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Written as a fiction, this book is about a type of geometrical puzzles called 'irregular reptiles' or 'irreptiles'.
Whereas reptiles (or rep-tiles) are two-dimensional shapes which can be dissected into smaller shapes which are similar to the original shape and all of the same size, this book is more concerned with the much wider class of 'irregular' reptiles or 'irreptiles'. Here the condition is relaxed that all parts of the dissection have to be of same size.
This leads to tessellations of unexpected beauty, of puzzles never seen before and to many interesting new problems.
The 'Puzzling Journey...' comprises more than 100 new problems (collected, stated and solved by me over the time of more than twenty years). None of these problems have been published before.
The problems are wrapped into little stories, that Dan, Bob, and John
experience on their journey to two strange islands in the planific ocean,
called the 'Garden of the Reptiles' and the 'Jungle of the Irreptiles'.
John Page is a reporter of the 'Geomatical Magazine'.
His diary forms the basis of this book.
The book is heavily illustrated by more than 350 drawings (!) and can be seen as a compendium on this subject.
It covers all aspects of irreptiles, opens up dozens of new areas in geometry and properties of shapes to be investigated (e.g. 'teratiles'), and states many unsolved questions.
It is an ideal book for puzzlists.
All problems can be solved with pencil and paper, or by cutting out shapes in plywood or cardboard.
"I bought your reptiling book several months ago, and enjoyed it
greatly. i actually gave a plenary talk at a math conference a couple
weeks ago about tiling shapes with smaller similar copies, and showed many
of your (and patrick's) results, with proper credit of course."
Click here to see Erich Friedman's website on this subject
Format : A4
Pages : 155
Illustrations : more than 350
Price : NZ$ 40 (US $30)
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