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Rock on Mathematics


This Tessellated Pavement in Tasmania, Australia, formed by rocks that have fractured into polygonal blocks that appear tiled or tessellated. The overall flatness of the pavement is due to wave and chemical erosion. Then rocks which have absorbed salt water at high tide dry out at low tide. This causes salt crystals to grow and disintegrate the rocks – a process which produces shallow basins. Amazing to see such beautiful mathematical patterns in nature…unless nature is fundamentally mathematical (which is discussion for another post)!

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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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