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Posts tagged with Architecture

Designing Megatalls

October28

The 828-meter (2,717 ft) high Burj Khalifa has reigned over Dubai’s skyline and architecture’s collective conscious. It didn’t just break the record; 62% taller than its predecessor, Taipei 101, it obliterated it. Its legacy has been remarkable — and remarkably useful to the man who designed it. Adrian Smith conceived the Burj Khalifa as an […]

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Juxtaposition or Parabolic?

June13

“Para” means “alongside” and “bola” comes from the Greek word “to throw“. So, the math word “Parabola” (and “parable”), for example, means to be “thrown alongside“. A parable is a story that has a meaning “alongside”. The parabola is a curve that is “thrown alongside” a fixed point and a fixed line, as we defined […]

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Math puts class into architecture

November19

The link between Mathematics and architecture goes back to ancient times. Pyramids and temples were some of the earliest examples of mathematical principles at work. Today, Mathematics continues to feature prominently in building design. Thanks to modern technology, architects can explore a variety of exciting design options based on complex mathematical formulae, allowing them to […]

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Art attracts Mathematicians in Italy

February13

The amazingly beautiful and accessible Duomo in Milan, built over some 4 centuries, was such a compelling Gothic building that it attracted many talented Mathematicians and Scientists – who wanted to study and share in the beauty and power of the Duomo. As the cathedral’s architecture became the powerhouse of intellectual culture in northern Italy, […]

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A Mathematical Look at a Medieval Cathedral

February7

“If you wish to design and build a cathedral, you’d better know some mathematics. The application of mathematics has been central to the design and execution of art and architecture from the Classical era through the Middle Ages and still today. The renown of the Greek prescriptive sculptural instructions, the Canon of Polykleitos, attests to […]

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The Art of Rectangular Pyramids

January15

Ah…The Louvre – perhaps the world’s most famous museum and an iconic, classical building which is noted for its modernistic entry which uses pyramids to contrast its surroundings. (H3 was taken aback by the beauty of this entry and the way in which it differed so much to the style of the French buildings and […]

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H3 Maths Explores Mathematics in Architecture – Pt I

January9

Happy New Year for 2014! Yes, it has been rather a big adventure for H3 Maths, covering about 6 countries in just a few weeks. Temperatures ranged from 0 to 30 degrees C. You might have thought that H3 was on vacation and you would be correct. However, Mathematics never sleeps and H3 was acutely […]

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High Tension Math in Bridge Designs

October30

Mathematics is behind some wonderful new bridge designs (click image above for samples, including the use of plastic bottles), but even ancient bridges were based on arcs and circles, etc. such as this one in England    

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Triangles in Everyday Life

June3

We find triangles all around us – whether in construction, surveying, flight paths, bridge design or in fabric shapes and tiles. This picture shows a clever use of equilateral triangles on a building in Brisbane city. You can find 38 jobs that use congruent triangles here! Find out more about the properties of triangles with […]

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Mathematics and Art – III

April4

The Golden Ratio, or Golden Number, has been well known for centuries as a pleasing balance of length to height and is seen in nature. Therefore, it is commonly used in Architecture and Art. For mathematicians, this ratio is called Phi: Phi (Φ and φ, pronounced [fī]) is a Greek letter. In mathematics it is used […]

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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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