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Posts tagged with Escher

Paradox – an absurd truth

October13

By definition, a Paradox is an absurd statement which may prove to be true. The amazingly impossible designs of the artist Escher are excellent examples and his work is shown in the sculpture above. Mathematics is one large system of logic – a kind of universal language that transcends individual civilizations and specific languages. As […]

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Now that looks really weird!

May20

Lakes in the desert, the moon larger when it is on the horizon, Escher’s famous sketches – and, then this recent pic which somehow doesn’t quite seem right? The scale is not correct…or, is it? (For an explanation, check out the Post Support.) Optical illusions are a fun way to get connected with Spacial Geometry. […]

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Impossible Triangles

April16

One area connecting mathematics and the brain is visual phenomena. Human visual information is processed by the brain and uses our amazing eyes. Mathematicians have been involved in a wide variety of problems involving vision: * What is the geometry of our perceptual system? * How does the brain process visual information? It is well known […]

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Mind-Boggling Math Fact #2

January19

Mathematically speaking, there’s just a finite number of distinct geometric patterns. All Escher paintings, wallpapers, tile designs and indeed all two-dimensional, and repeating arrangements of shapes can be identified as belonging to one or another of the so-called “wallpaper groups.” And how many wallpaper groups are there? Exactly 17. The classification of the wallpaper groups […]

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Lisa Simpson’s Nerd Find

March5

This just in from moillusions (worth checking out this site): I see that TV animated series, The Simpsons quite often present us quite cool optical illusions. This time Lisa Simpson discovered pretty strange object. Emily, reader who submitted this one, said: “Hi, not sure if you’ve gotten this one yet…In the Simpsons episode Treehouse of Horror VIII, the Simpson family is looking […]

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Illusions and Mathematics

March5

Mercedes have just created an almost invisible car. A camera relays pictures from the opposite side of the car and this gives you the illusion that you are looking right through the vehicle, which may prove unsafe in some situations?  The famous graphic artist, M.C. Escher used the power of illusion in his wonderful drawings. […]

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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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