Amusements in Mathematics eBook

Henry Dudeney
This eBook from the Gutenberg Project consists of approximately 597 pages of information about Amusements in Mathematics.

Amusements in Mathematics eBook

Henry Dudeney
This eBook from the Gutenberg Project consists of approximately 597 pages of information about Amusements in Mathematics.

[Illustration

+===========+===========+-
| .         |         . :  \
|   .       |       .   :    \
|     .     |     .     :      \
|       .   |   .       :        \
|         . | .         :          \
+-----------+===========+===========+
|         / :  .         |         . :  \
|       /   :    .       |       .   :    \
|     /     :      .     |     .     :      \
|   /       :        .   |   .       :        \
| /         :          . | .         :          \
+===========+===========+===========+===========+

]

The solution to this puzzle is shown in the illustration.  Divide the figure up into twelve equal triangles, and it is easy to discover the directions of the cuts, as indicated by the dark lines.

147.—­AN EASY SQUARE PUZZLE.

[Illustration

+-----------------------------------------+
|  .                                     /|
|      .                                / |
|          .                           /  |
|                /                    /   |
|               /    .               /    |
|              /         .          /     |
|             /              .     /      |
|            /                   ./       |
|           +--------------------+        |
|          /                    /         |
|         /                    /          |
|        /                    /           |
|       / .                  /            |
|      /      .             /             |
|     /           .        /              |
|    /                .   /               |
|   /                     .               |
|  /                          .           |
| /                               .       |
|/                                    .   |
+-----------------------------------------+

]

The diagram explains itself, one of the five pieces having been cut in two to form a square.

148.—­THE BUN PUZZLE.

[Illustration

. .
. .
_ . .
. |\ A .
| \
.  C | \ |
| \
. | \ /
. |______________________\/
| |
. .
.  B .
. .
. .

_
. | .
. | .
. | .
|
|
| D | E |
|
|
. | .
. | .
. | .
_

_
. | .
. -+- .
. . . .
— —
.
| G| F | |

— —
. . . .
. — _ _ — .
. | .

-+-
. .
— —
.
| H |

— —
. .
— _ _ —

]

Copyrights
Project Gutenberg
Amusements in Mathematics from Project Gutenberg. Public domain.