Using a scissors, how many closed shapes can you cut from the following figure (along the lines)?
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No. of shapes which can be cut =
8 +16+32+64+16 ;
7+16+32+64+16;
6+16+32+64+16;
5+16+32+64+16;
1+8+16+32+8;
8+16+32+8;
7+16+32+8;
6+16+32+8;
5+16+32+8;
1+8+16+4;
8+16+4;
7+16+4;
6+16+4;
5+16+4;
1+8+2;
8+2;
7+2;
6+2;
5+2;
2+2;.
1
=1038
Now, the small 4 semi-circles at the bottom have not yet been counted.
Therefore, total number of shapes that can be cut = 1 0 3 8 + 4 = 1 0 4 2