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Posts tagged with geometry

A Greek Island Full of Geometric Wonders

January14

A Greek island is a Geometric wonderland. Check out this inspiring video from the BBC:

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A Celestial Tug of War

March5

Throughout human history the Moon has been an inextricable, ghostly presence above the Earth. Its gentle gravitational tug sets the rhythm of the tides, while its pale light illuminates the nocturnal nuptials of many species. Entire civilisations have set their calendars by it as it has waxed and waned, and some animals – such as […]

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The Revenge of the Cone Heads

February1

Well, not quite the revenge, but let’s have a look at the formula for the volume of a cone, here on the left: Now, we could ask ourselves how this formula was discovered. It was a smart dude called Archimedes, who lived in Sicily some 300 years before Christ was born. He really worked hard […]

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Fields Medals for Math Discoveries in 2022

January29

Every four years, the International Mathematical Union awards a gold coin with the head of Archimedes engraved on it to up to four mathematicians younger than 40 “to recognize outstanding mathematical achievement for existing work and for the promise of future achievement.” This year the Fields Medal went to June Huh, James Maynard, Maryna Viazovska […]

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Think Different – the Swing Wing

January27

Its inventor – aeronautical engineer Robert T. Jones (shown here with the Proof of Concept AD-1) from NASA’s Ames Research Center in California – was a pioneer who wanted to challenge conventions. “One of the unspoken assumptions in aircraft design is that of bilateral or mirror symmetry,” he wrote in a 1972 scientific study on […]

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Motion in the Cellular Ocean

June7

A mathematical model that describes how cells change their shape during movement suggests that the movement is mainly driven by the contraction of the skeletal proteins, called “myosin.” The new model developed at Penn State can help researchers to better understand the various biological processes where cellular movement plays a key role and also could […]

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How Imaginary Numbers Were Invented

January20

Well, there is more to this excellent video than just Imaginary Numbers; it also plots an excellent course through the history and development of Mathematics, complete with maps, etc. H3 gives it 5-stars, a Must View.

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Find the sum of these angles in a 5-pointed star

June26

This question was given to some 13 year old students in India. They had to provide proof with their answer: Answer will be posted in Post Support soon

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Using Nets to Make a Cube

November26

My students in Middle to Junior High really enjoyed working with Nets. Here is a challenge – we can use a net to make a cube: Now, how many different nets can be made to make the same cube? Once you have this answer figured out (see Post Support for the solution), ask the students […]

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More Math Humor

October29

Sometimes (just sometimes) you need a little Math Humor to keep you going? More Math Jokes here 

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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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