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Posts tagged with tessellations

Rock on Mathematics

December10

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 […]

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Create your own fish tessellation

August21

Tessellations are wonderful ways to create amazing patterns. The one above is based on squares and can be done with careful attention to detail. This is a great activity when studying different shapes in Junior Mathematics and, if using card, gives a practical take-home product ready to hang on display. Instructions are here. Also see […]

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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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Tessellations – Pt II – Cool interactive site

March7

The Escher blog leads to your own discovery about symmetry in Mathematics. We most often use symmetry in our study of Polygons (from the Greek language where “poly” = many and “gon” = angle or ‘knee’). Actually, I must confess that I find it easier to think of a polygon as “many-sides” for a more […]

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Post Support

Largest number between o and 1 million which does not contain the ‘n’ is 88

 

Rotation SAT Problem: Answer: 4 (see: https://www.youtube.com/watch?v=FUHkTs-Ipfg)

 

Which number has its letters in alphabetical order? Answer: F O R T Y

Hidden Rabbit? Clue: check the trees

How long for the stadium to fill? 45 minutes.

Where are you? the North Pole

Prize Object Puzzle: If Sue does not know where the prize is in the first question, it can’t be under the square. She must have been told it is under another shape. Apply this same logic to Colin. It is then obvious that the prize cannot be under a yellow object. That helps Sue eliminate her yellow shapes. Got the idea?

Algebra Puzzle: Answer = 1

Popular Math Problems Answers: 1, 1

Number of tabs? According to Lifehacker, the ideal number of tabs you should have open is nine. Yes, a single digit. To some, this is like playing a piano and only using a fraction of the notes!

Worst Graph? Where to start. What a visual mess and even some of the lines merge and are impossible to follow. A graph is a visual display of data, with the goal to identify trends or patterns. This is a spider’s web of information which fails to show a clear pattern at all. Solution? Well, different colors would help, or why not group in two or three graphs where trends are similar?

Number of different nets to make a cube is eleven – see this link

Homework Puzzle; The total value of the counters is 486, so halve this to get 243. Now, arrange the counters to equal this amount twice.

The graph on the left (Coronavirus) is for a time period of 30 days, while the one on the right (SARS) is for 8 months! Very poor graphical comparison and hardly relevant, unless it is attempting to downplay the seriousness of the coronavirus?

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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