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How They Photoshop Supermodel Pics: THE MATH

June 13, 2019

Women’s Magazines have a strange kind of logic. On the one hand they push the philosophy ‘love yourself’, ‘love who you are’ and then they provide 365 pages showing you how to change every bit of yourself including your hair, eyebrows, pubic hair, tan, weight, skin tone, fitness, nose shape, career, boobs, how-to-hook him techniques and so on. Marie Claire, Australia, is no different. Nevertheless, I adopt the policy that these magazines are a bit of frou-frou fluff that women find entertaining. If girls and women want to beat themselves up with impossible goals then that is their right. But there are limits and the January edition, 2010 of Marie Claire is a classic.

Claiming to support real women and real body sizes Marie Claire ran a survey to see which body size 6,8, 10, 12, 14 or 16 was preferred by the Australian public.

Firstly, these surveys involve meaningless maths because they use  SELF SELECTING SAMPLES.  Nevertheless, there she is, the most popular choice, Size 12 or Ms 59%.

Keep flipping through the magazine, however, and you will find a shopping guide very common in these magazines. Have a look at the model (below)???? Do alarm bells ring?? Let’s do the maths, mathspigs.

 

Look at the pictures (above). The waist to hip measurement is the same for each model namely 20mm.  I’ve scaled up the images by factor of 10 (below) so that:

Waist to hip = 200mm.

Now, look at the leg lengths!!!!!!!!

 

Who is this model? Alice in Wonderland? Her legs are 89% longer than a girl with the same waist to hip length or have her legs been digitally stretched by 89%?

Teachers, I urge you to ask girls to bring in women’s/girl’s magazines to do some similar maths. To check if a model’s legs have been digitally stretched you can use the hip to knee and knee to ankle ratio which should be close to 1:1. We have to help girls develop a visual sense of proportion. And the maths quantifies this critical thinking. Rather than girls concentrating on booster bras boosting brains makes more sense.

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Don’t play it again Sam! The iPod, iPad & iPhone Shuffle

June 7, 2019

Here is an example of Gambler’s Fallacy, but for non-gamblers. 

We see – in this case – hear a pattern and then attribute meaning to this pattern  – It’s a conspiracy!!!! – when there is no pattern and no meaning!!!!! So Apple found when designing their iPod shuffle feature later on the iPad and iPhone. 

“When Apple first introduced the shuffle feature on its iPods, the shuffle was truly random; each song was equally likely to be picked than any other. However, the randomness didn’t appear random, since some songs were occasionally repeated, and customers concluded that the feature contained some secret patterns and preferences. As a result, Apple was forced to revise the algorithm. ‘We made it less random to make it feel more random,’ said Steve Jobs, the CEO of Apple’  

p68 The Decisive Moment How the Brain Makes Up Its Mind Jonah Lehrer (Text Publishing 2009)

dice

Try it. Pick 12 songs maybe off your playlist  – Your MP3 player, perhaps or a Top 20 Chart or Top 20 Downloads Chart – assign each song a number: 1, 2, 3….up to 12. Take two dice (Diehards Note:  It’s 1 die, 2 dice) and roll.

How many throws until you get 2 songs played in a row?

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FRANTIC FRIDAY: Crazy Math Word Maze USA edition

June 3, 2019

PDF file: Crazy math maze work sheet 1 USA

PDF file: Crazy math maze work sheet 2 USA

CRAZY MATH MAZE WORKSHEET ANSWER

PDF File: Crazy math maze work sheet ANS USA

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FRANTIC FRIDAY: Crazy Maths Word Maze UK edition

June 2, 2019

PDF file: 1. Crazy math maze work sheet 1 UK

PDF file: 2. Crazy math maze work sheet 2 UK

CRAZY MATHS MAZE WORKSHEET ANSWER

PDF file: 3. Crazy math maze work sheet ANS UK

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COOL FOOTY MATHS: THE LONGEST KICK

May 25, 2019

Mathspig Football Maths 1

Mathspig football Maths 1a

Mathspig Football Maths 2aMathspig Football Maths 3Mathspig Football Maths 4

………………………………………………

The following maths is suitable for Year 9+

but can be presented to lower grades just to show

maths is cool!

Mathspig Football Maths 5Mathspig Football Maths 6bMathspig Football Maths 7

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And the tic tic toc of the HYPERBOLA CLOCK

May 19, 2019

You will find everything you want to know about  HYPERBOLAS HERE.

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The Terrifying Math of Running from a Bear … USA Units

May 14, 2019

USA UNITS below. METRIC UNITS here.

BEAR STATISTICS

Grizzly Bear

Weight:  550 lb        

Height:  8’ 2”   

Top Speed: 35 mph  =   51 ft/s    

Brown Bear

Weight:  1,500 lb       

Height:  8’ 2”              

Top Speed: 22 mph  =  32 ft/s     

Comparing these speeds to the fastest man on earth, Usain Bolt:

Usain Bolt:

Top speed: 27 mph  =   40 ft/s     

Bears are not dangerous:

………………………………………………………………………


In fact, more Americans die each year from choking on their own vomit than are killed by bears.

More death stats here

Nevertheless, bears are very fast. So you can see why Park Rangers offer the following advice:

More information at Mountain Nature.

The reason for waiting until the bear is 15 ft away is to make sure the spray doesn’t disperse in the air. If the Pepper Spray is too spread out it will not stop the bear.

Ref: Dog helps save hikers after grizzly chases them for 20 minutes.