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- 160 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
100 Geometric Games
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About This Book
There are three loops in a tangle of rope. How many are independent, and how many are interlocked?
Two knights stand on a chessboard. How many other knights must you add so that each square is occupied or threatened by a knight?
Among six seemingly identical drawings of mandalas, each rotated by multiples of 60 degrees, one is different. Which is it, and why?
Challenge yourself with these mind-benders, brainteasers, and puzzles. Each of them has been carefully selected so that none will be too tough for anyone without a math background ? but they're not too easy. Some are original, and all are clearly and accurately answered at the back of the book.
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Yes, you can access 100 Geometric Games by Pierre Berloquin,Denis Dugas, Martin Gardner, Denis Dugas in PDF and/or ePUB format, as well as other popular books in Mathematics & Games in Mathematics. We have over one million books available in our catalogue for you to explore.
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PROBLEMS
Game 1
Twelve points are connected above by five straight lines, without raising the pencil.
You can do better: connect the same twelve points:
ā¢without raising your pencil
ā¢in five straight lines
ā¢ending on the first point, thereby making a closed circuit
ā¢without going through any point twice (but the lines can cross each other).
How?
Game 2
Only two squares are shown out of many squares whose vertexes lie on four of the twenty points in the figure.
How many points do you have to erase so that no square can be formed on any four of the remaining points?
Game 3
Is the rope a simple loop?
or is it knotted once?
or is it knotted several times?
Game 4
One of two identical coins remains motionless while the other coin rotates around it, touching it without slipping.
When the second coin has completed a turn around the first coin, how many turns has it made around its own axis?
(Solve the problem without using actual coins.)
Game 5
Go through the maze.
Game 6
Can you place four chess queens on the board so that none of them threatens another?
(A queen can move any number of squares horizontally, vertically, or diagonally.)
Game 7
How can you go through the garden:
ā¢going along each walk once and only once
ā¢without crossing your path
ā¢finishing at your starting point?
Game 8
The sixteen matches form five squares. Can you change the position...
Table of contents
- Cover
- Title Page
- Copyright Page
- Contents
- Foreword
- Problems
- Solutions