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February 18th, 2012, 10:26 PM   #1
 
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pls help to solve these problems...

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

[attachment=0:ce89fk31]trapezoid01.JPG[/attachment:ce89fk31]
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February 18th, 2012, 10:27 PM   #2
 
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Re: pls help to solve these problems...

and problem no. 2 please. TIA!

[attachment=0:2f2jh6oe]squares01.JPG[/attachment:2f2jh6oe]
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February 18th, 2012, 11:46 PM   #3
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Re: pls help to solve these problems...

Here are some very rough sketches:

1:

[attachment=1:35y2itf1]trapezoid.jpg[/attachment:35y2itf1]

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

2:

[attachment=0:35y2itf1]squares.jpg[/attachment:35y2itf1]

Again, the parts are similar to the original with side lengths of 1/2 the original.
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February 19th, 2012, 09:43 AM   #4
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Re: pls help to solve these problems...


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:
              *
             / \
            /   \
           /     \
          /   *---*-------*
         /   / \         / \
        *---*   \   *---*   \
       /         \ /         \
      *-----------*-----------*
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