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Increasing (or decreasing) a block size
When I increase a block size from 6x6 to 12x12 -
doesn't it seem to be logical to say that I DOUBLE the size of the block? But actually, the area of the block will be QUADRUPLED! 6x6 = 36 12x12 = 144 Or the other way around - when I decrease a block size from 12x12 to 6x6 - it seems logical to me to say that I cut the size by half. However, the area of the smaller block is only 1/4 the size of the larger block. 12x12 = 144 6x6 = 36 |
Which is why it takes (4) 6 1/2" squares to make (1) 12" block...often people do not realize this until they try to just double everything, then wonder why it's not working. Glad you realized it. :)
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The doubling is of the square formed by the diagonals of the four inset squares. Socrates explained it best.
http://www.cut-the-knot.org/proofs/half_sq.shtml |
Originally Posted by ghostrider
(Post 6773708)
The doubling is of the square formed by the diagonals of the four inset squares. Socrates explained it best.
http://www.cut-the-knot.org/proofs/half_sq.shtml Now that is almost too much for my mind to absorb! :) Thank you for the link. |
Anything for you, Bear! :)
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One just never knows what they are going to find on Quilting Board!
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Isn't math marvelous? :thumbup:
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Yes, it is, Neesie. And I love your Dawkins' quote.
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Originally Posted by loisf
(Post 6773938)
Yes, it is, Neesie. And I love your Dawkins' quote.
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On now this is really deep. :D
Originally Posted by ghostrider
(Post 6773708)
The doubling is of the square formed by the diagonals of the four inset squares. Socrates explained it best.
http://www.cut-the-knot.org/proofs/half_sq.shtml |
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