New Problems on Tilings and their Beautiful Solutions
© 1997 by Dr. Karl Scherer
Comments by readers of "NEW MOSAICS":
"You have opened a new visual world!"
"This book is a source of creativity. It
triggers your own imagination."
"If only M.C. Escher would have known these
"This book will be very useful for a lot
Click here to see a sample page of the book
Click here for a list
Very excited feedback from all sorts of people shows that this book
"NEW MOSAICS", which contains about 1000 mosaics on more than 300 pages,
might be worth having a place in every library.
Not only mathematicians, architects, designers, and furniture makers
find this book amazing, but practically everyone who has seen it.
In his book "NEW MOSAICS" the author has undertaken the huge task of
not only classifying a part of the world of tilings, but also of displaying
ALL types of mosaics with certain properties.
(He found all onethousand solutions by hand; no computer search involved.)
Most of the tilings cover the whole plane, hence these mosaics
may be used to cover floors, walls, clothing,...anything.
"NEW MOSAICS" carries out a full investigation into a topic which
we could only glimpse at in the author's previous book "NUTTS and Other Crackers".
"NEW MOSAICS" classifies tilings, analyses them (several theorems on
existence and upper bounds of the minimum number of prototiles), but above
all displays them!
These properties investigated in this "NEW MOSAICS" are "alternating",
"neat", "nowhere neat" as well as variations and combinations of these properties.
It seems that these areas have never been investigated before. This is
quite surprising, especially in the light of the fact that the results are
All drawings have been created with TURBOCAD software, with very good
"New Mosaics" can be used as a research book by a mathematician,
as an exercise book by a student or as a picture gallery of extraordinary
designs never seen before.
Pages: 300 pages
Illustrations: about 1000 mosaics
Price : NZ$ 50
including packaging and postage in New Zealand
US$ 40 including packaging and airmail postage world-wide
Please ask for rebates if you want to buy larger quantities.
Please send cheques to the address below.
Atlantis Puzzles & Games
11 Utting Street, Birkdale, Auckland, New Zealand
Email: k a r l s c h e r e r 3 @ y a h o o . c o . n z
Back to home page