## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Posts tagged with tiling

### How many 5-sided tile patterns can we make?

August19

Until recently, there were just 14 known convex pentagons (nonregular, five-sided shapes with outward-pointing angles) that could “tile the plane” (be arranged with flush sides on a flat surface, with no gaps or overlaps). But last month, some thirty years since the 14th was discovered, a 15th was identified. The convex pentagon in question and […]

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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 […]

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#### Post Support

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)?]