## pls help to solve these problems...

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### pls help to solve these problems...

trapezoid01.JPG (66.67 KiB) Viewed 425 times
Last edited by MarkFL on Sun Feb 19, 2012 2:59 am, edited 1 time in total.
Reason: To resize and crop image
verynice2000
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### Re: pls help to solve these problems...

and problem no. 2 please. TIA!

squares01.JPG (59.3 KiB) Viewed 425 times
Last edited by MarkFL on Sun Feb 19, 2012 3:02 am, edited 1 time in total.
Reason: To resize and crop image
verynice2000
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### Re: pls help to solve these problems...

Here are some very rough sketches:

1:

trapezoid.jpg (8.55 KiB) Viewed 428 times

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

2:

squares.jpg (4.95 KiB) Viewed 428 times

Again, the parts are similar to the original with side lengths of 1/2 the original.
Living in the pools, They soon forget about the sea...— Rush, "Natural Science" (1980)

MarkFL
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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".

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soroban
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