The closing ceremony is chaos. All the athletes crowd together.

There is one last lot of calculations, mathspigs.

Think about this.

% Gold Medal Winners:

At the 2012 London Olympics there were 47 Gold medals awarded in athletics.

There will be 2,000 athletes competing for these medals. Now some athletes will win more than one Gold medal and some events eg. the relay race involve more than one athlete. Each member of the winning relay team wins a Gold Medal.

Approximately what % of athletes won’t win a Gold Medal at the London Olympics?

Ans: 97.65%

Probability of Winning a Gold Medal:

Ha-HA! Tricked ya! Such a calculation would be meaningless.

The core to all probability is, or should be, RANDOM SELECTION.

Lottery balls fall randomly into the tube. But the Olympic athletes represent a BIASED SAMPLE. Athletes are selected for the games. They must qualify for an event. They train. The chance of one athlete winning is quite different from that of another.

…………………………………………………………………

Eight numbered 100m-sprint athletes is a Biased Sample.

………………………………………………………………

Eight numbered lottery balls in last nights draw make up a random sample.

They (hopefully) calculate stresses and loads on structures BEFORE the building, bridge, airport is built.

Not only do you need maths, mathspigs, to ‘virtually’ destroy the Millenium Bridge in a Harry Potter film, you need maths, obviously, to build the real bridge. Unfortunately, the engineers made a big Boo Boo! They didn’t allow for pedestrian feedback causing sway or wobble. See 10 Biggest Maths Disasters in the World

Here’s a little grab of the maths showing the pedestrian feedback loop causes wobble.

‘ we see that phase of the pedestrians’ feedback force is leading the output displacement of the bridge deck by an angle which becomes exactly at the resonant frequency . This of course is what we expect for a negative damping force.’

Lego engineers need maths.

Lego bridges can be VERY strong.

This is a LEGO MILLENIUM BRIDGE.

But this is NOT a suspension bridge. It is just a model. Here is a FANTASTIC site @ EXPLAIN THAT STUFF showing how bridges work.

A REAL Lego suspension bridge can hold a very heavy load. Here is a Lego suspension bridge built at LegoWorld 2005. The break load for this Lego bridge was 40kg (88 lb). This bridge could support a kid.

Here are two other Lego Bridges. The break load for the next bridge was 76 kg (167 lb). The break load for the third bridge was > 100 kg (220 lb). These bridges could support an average sized adult.

A Neat Lego (Suspension) Bridge on You Tube. *

* Observe neat bridge Vs Unmade bed!

But here is Mathspigs FAV Lego bridge.

Not exactly a suspension bridge but very strong. And this was a kid experiment!!!!!!

Break load = 30.3 kg ( 66.8 lb)

See the next post for some fabulous Lego Maths. In the meantime, if you are going to build a bridge, perhaps, you should do it with maths not love. This is a truly spooky video from Cher and co. Wait for the chorus.

There is a lot of maths in Lego, mathspigs, but rather than smash up bridges not to mention toes with 40 kg weights, here are some other cool ways to do LEGO MATHS.

You can make yourself into a Lego Figure like Mathspig, but first ….

Ideally, students would measure their own Lego Man. Otherwise, use the dimensions shown and fill in the chart.

To calculate your Lego man conversion factor:

Lego Conversion Factor = Your Height mm/ Lego Man height mm

eg. Mathspig Height = 172 cm

Mathspig Lego Conversion = 1720/ 38.2 = 44.6

A full size Lego Mathspig is 172 cm, therefore a full sized lego Mathspigs legs would be:

Mathspig Lego Legs = 14.0 x 44.6 = 624.4 mm = 62.4 cm

Dimensions

mm

Lego Man Dimensions

mm

Your Real Dimensions

mm

Your Lego Man Dimension

mm

Height

(Not including the round thing

ie. the stub)

38.6

Head Height

Top to chin

8.5

************

Neck

1.2

*************

Torso

Shoulder to hip

(Swivel pt)

14.9

************

Leg Length

Hip to Floor

14.0

************

Now you could draw or photo shop a real picture of yourself to these dimensions or – this is so cool – just make a Lego Man Pic of yourself @ Reasonably Clever