As part of our Mid-year/ End of year madness here are some crazy things to do with Lego.

The idea with these projects is to challenge you, my pretties, by giving you the Lego, the time and the inspiration so you can go, go, go for it and, maybe even, surprise yourself.

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1. Going Loopy

Can you make something round from oblong Lego blocks?

Lego constructions can move. Here is The Blossoming Lotus built by the Brickengineer. If you click on this link you can see the Lotus blossom. Cool! Can you make a Lego flower bloom, mathspigs?

But if you really want to see some Lego flowers bloomin’ get yourself down to the Reiman Gardens @ Iowa State University. They have the Lego flowers, the Lego birds, the Lego butterflies, a Lego Zoo. Perhaps, mathspigs, your class could put your heads together and make a Lego garden or a Lego Zoo.

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3. Going Square

Lego artist Nathan Sawaya’s Lego sculptures are mind boggling. You can find the following sculptures @ sayhi-todesign blog spottoor @ Nathan’s own blog, The Art of the Brick. Maybe, mathspigs, you could build a geometric sculpture out of Lego blocks.

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Or get inspired by Nathan Sawaya’s other sculptures

Wow! That’s just how Mathspig feels when I’m waking up in the morning.

Here is the US Army Herald Trumpets playing a rousing fanfare:

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Marching Maths

Three nations are marching one after the other:

Pajamaramas (PJ Boy flag bearer),

The Crytomanians (Mummy’s Boy flag bearer)

and the Berserkers (Olag the Viking flag bearer).

But there is a problem.

They march around the Olympic Track, which is a 400m circuit (inside track).

Lego Olympic Track Circuit = 400/50 = 8 m

But the Pajamaramas, the Cryptomanians and the Beseerkers all walk at different speed. They could just bump into one another and end up in a big heap. So how much time should the officials allow between each country so they don’t collide on the track.

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Speed S_{1}

PJ Boy is a really slow walker

Real life Really Slow walk = 3.0 kph = 3000 m/hr

……………………………………………….= 3000/60 = 50 m/min

Lego really slow walk= _{ }50/50 = 1 m/min

Speed PJ Boy = S_{1 }= 1m/min

……………….

Speed S_{ 2}

Mummy’s Boy is a slow walker

Real Life Slow walk = 4.5 kph = 4500 m/hr

…………………………………. = 4500/60 = 75 m/min

Lego slow walk = 75/50 = 1.5 m/min

Speed Mummy’s Boy = S_{ 2}_{ }= 1.5 m/min

……………………………..

Speed S_{3 }

Olag is a fast walker

Real life fast walk = 6 kph = 6000 m/hr

……………………………… = 6000/60 = 100 m/min

Lego really slow walk = 100/50 = 2 m/min

Speed Olag = S_{3 }= 2m/min

Lego Track Circuit = 8m

Time on circuit (T) in mins:

T = d/S

T = 8.0 /S

The time each nation takes to finish marching around the track will be:

If you started them all at once there’d be a real pile up.

March Time with 1 min gap between groups:

The Enforcer from the Constellation Obeymia will make sure each marching group leaves exactly on time. He will set the clock ticking at 0 mins then enforce a one minute gap between each group.

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Look at the times each nation finishes marching around the track now:

PJ Boy…………………………………………………………………………..

and the Pajamaramas ……………………………………………..8 mins,

Mummy’s Boy and the Crytomanians ………………. 6 mins 20 secs

and Olag and The Beserkers start 2 minutes after PJ Boy and Co and finish at …………………………………. 6 mins.

They will still collide on the track!!!!!

Here are the results for different gap times:

Nation

March Time

Gap time

0 min

March Time

Gap Time

1 min

March Time

Gap Time

2 min

March Time

Gap Time

3 min

PJ Boy + the Pajamaramas

8

8

8

8

Mummy’s Boy and the Crytomanians

5mins 20 secs

6 mins 20 secs

7mins 20 secs

8 mins 20 secs

Olag and The Beserkers

4

6

8

10

The 3 minute gap works!!!

I think we need a round of applause:

Why not ALGEBRA?

If you had to do this calculation for the entire 205 nations at the 2012 Olympic Games, you can see that your brain might explode.

Da-DA! We can use algebra.

Here is a formulae:

T = d/S + nt_{g}

where

T = time (mins)

from beginning of ceremony.

d= track circuit distance = 8 m

S = speed m/min

n = nation march order number = 0,1,2,3,etc

t_{g }= time gap between nations (mins) = 1, 2, 3, 4 etc

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