what we did played a lot of games of jenga ~400 chose 5 different strategies to play recorded 3...
Post on 21-Dec-2015
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What We Did
• Played a LOT of games of Jenga ~400• Chose 5 different strategies to play• Recorded 3 observables
– Number of bricks that fell in “avalanche”– Last brick touched before “avalanche”– Distance from base of tower to furthest brick after the
tower fell
From This To This
StrategiesMiddles OutMiddles Out
Middle Then SidesMiddle Then Sides
ZigZagZigZag
Side 1 Side 2
JENGA JENG
A
JENGA
Side 1
JENGA
JENGA
Side 1 Side 2
JENGA JENG
A
JENGA
All Outside BricksAll Outside Bricks
Side 1 Side 2
JENGA JENG
A
JENGA
AND FINALLY…AND FINALLY…
An optimal game strategy An optimal game strategy where we would start from where we would start from
the bottom and work our way the bottom and work our way up, pulling out any bricks up, pulling out any bricks
which were loose enough to which were loose enough to pull out easilypull out easily
Many Strategies So We Could …
• Compare strategies to see if any patterns were emerging
• Compare more ordered methods of pulling bricks out to the random optimal strategy
• See if strategies used had a large impact on the data obtained.
Whoooooaaaaaaa!!!!!!!!
• We hoped to see at least some emerging signs of a complex system as more data was taken
• We assumed the distance of blocks from base would be Gaussian to begin with but maybe tend towards a power law
• Perhaps some patterns relating to strategies used and observables
What We Expected
Results for Different Strategies
Everyone's All Middle Norm Data
-10123456789
10
0 10 20 30 40
Number of Values in Ranges of 5
Everyone's Norm ZigZag Data
-2
0
2
4
6
8
10
12
0 5 10 15 20 25
Number of Values in Ranges of 5
Everyone's All Outside Norm Data
-2
0
2
4
6
8
10
12
0 10 20 30
Number of Values in Ranges of 5
Everyone's Optimal Norm data
-2
0
2
4
6
8
10
12
0 10 20 30 40 50
Number of Values in Ranges of 5
Everyone's Mid/Out Norm data
-5
0
5
10
15
0 10 20 30 40
Number of Values in Ranges of 5Nu
mbe
r of C
ount
s
Results for Brick DistancesAll Data Put Into Ranges and With Means Subtracted
-505
101520253035404550
0 10 20 30 40 50
Number of Values In Ranges of 5
Nu
mb
er
of
Co
un
ts Data
Gaussian Fit
Cauchy-Lorentz Fit
Not Enough Data to definitively rule out one distribution, Gaussian and Not Enough Data to definitively rule out one distribution, Gaussian and Cauchy-Lorentz look to fit data quite wellCauchy-Lorentz look to fit data quite well