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Tiles and Tessellation Art Exhibition

January30

The art of fitting together mathematical shapes in repeating patterns is the basis of many fine designs and art work (unlike this one):
In 2012 there was an excellent exhibition of mathematical art works. Click on this image below (“hyperbolic tiling”) to find out about these wonderful works and their author-artists:

(Footnote: the first pic on this post could have been intentional? Check out this TED Talk in which Oxford mathematician Marcus du Sautoy offers a glimpse of the invisible numbers that marry all symmetrical objects.)

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10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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