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ART PUZZLES BY NUMBER – From Easy to Mind Bending
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NEW: Utah State Textbook Commission has placed this book on its list as
"Recommended Student Resource" for Mathematics / Pre-Algebra grade levels 7-12 for its
emphasis on indirect reasoning skills. Test
your logic and problem solving skills in geometric puzzles that create a work of
art.
By Kathy Weaver
List Price: $14.95
Soft Cover 8 x 8 126p Copyright 2001
Agreka™ Books ISBN 1-888106-57-3 Library of Congress 00-109120
For
Adults, Teens, & Children
Art Puzzles by Numbers is the most electrifying new kind of puzzle to
come along in many years. These beguiling puzzles already have millions of
devoted fans in Japan, where they were invented years ago. And now Art
Puzzles by Numbers has been introduced to the United States where its
popularity is growing enormously.
The concept is cleverly simple. You start with an empty grid. The numbers to
the side and above tell you "how many" squares to fill in the columns
and rows. The trick is that the numbers don’t tell you "which"
squares to fill in—that’s for you to decide through logical reasoning and by
operating back and forth between the columns and the rows.
Unlike the crossword puzzle, when you have finished one of these
"picture logic" puzzles correctly, you’ve made a picture!
Complete instructions are included along with 85 puzzles ranging from easy to
hard. You will find puzzles of animals, sports, holidays and many, many other
things that will peak the curiosity in kids, adults and seniors. No matter who
you are or what you do, whether you are young or not so young, this book will
give every puzzle fan many gratifying hours of entertainment.
If you like the magic of puzzles combined with the excitement
of art, then Art Puzzles By Number is what you’ve been looking for. As
drawings of animals, holiday icons, sports items and more are produced—Wow!
You’re an artist! You’ll be thrilled to see an incredible image produced
right before your eyes.
Instructions and detailed solving tips are included for beginners, who may
want to use a pencil and eraser, just until you get the hang of it. Then when
you are more confident, try using a black or colored pen. The picture will take
on a whole new expression. And—Have Fun!
Additional Information: Table Of
Contents Introduction
Table of Contents
INTRODUCTION
TIPS
AND INSTRUCTION
Part
1. WARMING UP. . . .
Part
2. THINK YOU'RE READY?. . . .
Part
3. OKAY—GO FOR IT. . . .
Part
4. THE BIG TIME. . . .
ANSWER PAGES
AND FINALLY, CREATE YOUR OWN
Introduction
HOW TO SOLVE ART PUZZLES BY NUMBER
All you need to solve an ART PUZZLES BY NUMBER grid is a pencil and some
logical thinking. The basic method is simple: Following the charted numbers
along the top and side of the grid, you complete the picture by determining
which squares to fill and which not to fill. That’s where the thinking
comes in: You proceed from what you do know, step by step, to learn what you don’t
know, with all the excitement that the process of discovery always brings. By
the time you’ve read through these instructions, you’ll have the tools to
take on every grid in this book. It’s possible to skip most of the information
and discover the method as you go, but working your way through the Sample
Puzzle by following these detailed instructions should save you quite a bit of
trial-and-error time.
Getting Started: Solving a Sample Puzzle
The numbers on the left of each row and at the top of each column tell you
"how many" squares to fill in for that particular row or column. Once
you know "how many" squares are to be filled in, your challenge is to
reason "which ones."
SAMPLE 1
The simplest example is in single-digit rows and columns. (Rows in the grid
are designated by capital letters, Columns by lowercase letters, as shown in the
sample puzzle.) In row D, which contains 15 blank squares, there is only one
number, "12"— indicating that by the time this 10 x 15 square puzzle
is complete, row D will have a solid block of 12 consecutive squares filled in
and 3 squares empty. But which 12?
If you start at the left and count 12 squares (as in example 1), you leave 3
empty squares to the right, but if you start at the right (as in example 2), you
leave the empty squares on the left. Okay, now you will notice that whether you
start right or left, the 9 squares in the middle will be filled in (showing in
example 3). There’s no way to avoid it. When there’s a single number in a
row and that number is greater than half the number of squares in the line, you
can always fill in one or more center squares.
EXAMPLE 1
Now you can fill in those "overlap" 9 squares of the sample puzzle,
then find the other rows or columns where this principle applies and fill in the
appropriate center squares (confirm your moves in the next paragraph). You may
find it helpful to mark an X for the squares you KNOW will be empty. Okay, now
you’ve filled in the middle 13 squares of row E and the middle squares of
column j. But what about rows or columns with more than one digit? In row F,
"2 7 2" tells you that there will be three groups that will contain,
in order, 2, 7 and 2 consecutive black squares. The fact that the numbers are
separated tells you that there is at least 1 empty square between each set of
black squares. There may also be empty squares at the ends of lines.
SAMPLE 2
Now let’s take a closer look at row F, illustrated in the following
example. If you start counting the 2 squares from the left and you assume only 1
empty square between the 2 and 7 (example 1), then counting from the right 2
squares, again with only 1 empty square (example 2), you’ll find the middle 5
squares have to be filled in (example 3). Now try this reasoning with row G.
EXAMPLE 2
If you have filled in the squares correctly, your sample puzzle should look
like this:
SAMPLE 3
Now what you have to do is a process of elimination. Looking at column a you
know that you can put an X in rows A, B, C, D and J, because there is only 3
squares in that column and 1 is filled in row G. This process can also be used
in column o. You can see in column f that there is 4 squares filled, so you put
an X in rows C, H, I and J. That also tells you that in column f, Rows A and B
will be filled in. In column g there are 5 in a row somewhere, and you already
have 4 filled in, so you can put an X in rows I and J. This also applies to the
next two columns. In column j, you can put an X in rows A and J. In column l you
notice there’s a 2 1 1, and on your puzzle, 2 squares are filled in, so
everything above those squares should be marked with an X (Rows A, B and C). In
this same column rows F and H are empty. At this point, your puzzle should look
like this:
SAMPLE 4
Now, doing the process of elimination again, you will see in row A that you
can put an X in all columns 4 spaces away from the filled square in column f
(columns a, b, j, k, l, m, n and o). In row D, since you know columns a and o
are empty, you can fill in columns c and m. In row E, there is an X in column o,
so you know all the rest of the row will be filled in. Now, after doing that,
you can see in column a where all 3 squares belong. And in row F, you can fill
in the square in column b, which tells you where column b’s 3 squares go. In
column c, the 2 squares are in rows D and E, so A, B, and C will be empty. The
same with column d with rows A and B empty and C will be filled in. In column e,
with an empty square in row G, you know that the 5 squares will be above row G
and the 2 will be below it. In row A, you can fill in columns g and h. If you
have done everything correctly, your puzzle should look like Sample 5.
SAMPLE 5
You can try your hand at continuing it here on your own, or you can find the
finished puzzle on the Answer Pages.
Have fun, and remember, make no assumptions!
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