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 […]

by posted under Uncategorized | tagged under , , , , , ,  |  Comments Off on How many 5-sided tile patterns can we make?

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 […]

by posted under Uncategorized | tagged under , , , , ,  |  Comments Off on Tiles and Tessellation Art Exhibition

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)?]

H3 Viewers



Skip to toolbar