pls help to solve these problems...

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pls help to solve these problems...

Postby verynice2000 » Sun Feb 19, 2012 1:26 am

Please help to solve this problem no.1...TIA!

trapezoid01.JPG
trapezoid01.JPG (66.67 KiB) Viewed 407 times
Last edited by MarkFL on Sun Feb 19, 2012 2:59 am, edited 1 time in total.
Reason: To resize and crop image
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Re: pls help to solve these problems...

Postby verynice2000 » Sun Feb 19, 2012 1:27 am

and problem no. 2 please. TIA!

squares01.JPG
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Last edited by MarkFL on Sun Feb 19, 2012 3:02 am, edited 1 time in total.
Reason: To resize and crop image
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Re: pls help to solve these problems...

Postby MarkFL » Sun Feb 19, 2012 2:46 am

Here are some very rough sketches:

1:

trapezoid.jpg
trapezoid.jpg (8.55 KiB) Viewed 410 times


The parts are similar to the original with side lengths of 1/2 the original.

2:

squares.jpg
squares.jpg (4.95 KiB) Viewed 410 times


Again, the parts are similar to the original with side lengths of 1/2 the original.
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Re: pls help to solve these problems...

Postby soroban » Sun Feb 19, 2012 12:43 pm


These are fascinating shapes.

A shape can be combined with its clones to make a larger (similar) model.

There were named "rep-tiles" by Martin Gardner.

Here is one more . . . called "The Sphinx".

Code: Select all
              *
             / \
            /   \
           /     \
          /   *---*-------*
         /   / \         / \
        *---*   \   *---*   \
       /         \ /         \
      *-----------*-----------*


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