loaded dice julie skinner jerod parrent. cheating scoundrels sandstone cubes loaded apparently ...
TRANSCRIPT
Loaded DiceLoaded Dice
Julie Skinner
Jerod Parrent
Cheating Scoundrels Cheating Scoundrels Sandstone Cubes
Loaded apparently
Floaters Hollow inside: inverse
loading
Spherical Die Tappers
Oil and mercury: loaded when tapped
Sandstone Cubes Loaded apparently
Floaters Hollow inside: inverse
loading
Spherical Die Tappers
Oil and mercury: loaded when tapped
http://www.free-craps.info/images/ancient_egypt_dice.jpg
http://homepage.ntlworld.com/dice-play/DiceCrooked.htm
Earlier this semesterEarlier this semester
CROOKED DICE AVERAGE
5060708090
100110120130140150160170180190200
1 2 3 4 5 6
Loaded
Magnetic
Milled
Beveled
Model
Rolled various diceLoadedMagneticMilledBeveledModel: fair
Biased for 1-face upException: Milled
favors 6 & 1
Rolled various diceLoadedMagneticMilledBeveledModel: fair
Biased for 1-face upException: Milled
favors 6 & 1
Potential vs. Angle: Fair
Potential vs. Angle: Fair
31
652 31 6
52
31
6
5 2 3 16
52
31
652
3 3 33
3 3 3 3 30.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
Pot
entia
l Ene
rgy
angle
Start to Finish Initial kinetic energy Loss of kinetic energy Rotation axis chosen lower “temperature”
--> “freeze out” trapped in potential
Potential Energy Highest on Edge Lowest on Face
Start to Finish Initial kinetic energy Loss of kinetic energy Rotation axis chosen lower “temperature”
--> “freeze out” trapped in potential
Potential Energy Highest on Edge Lowest on Face
Potential vs. Angle: Loaded
Potential vs. Angle: Loaded
Fair
0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
Loaded0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
Energy DifferencesChange in center of
massDependence on
rotation axisGoes to lowest
energy
Energy DifferencesChange in center of
massDependence on
rotation axisGoes to lowest
energy
Potential vs. Angle: Beveled
Potential vs. Angle: Beveled
0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 4100.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410
0.45
0.50
0.55
0.60
0.65
0.70
0.75
-40 5 50 95 140 185 230 275 320 365 410Beveled
Fair Less energy to
roll over beveled edge
EffectsTends toward faces
on either side of beveled edge
Less energy to roll over beveled edge
EffectsTends toward faces
on either side of beveled edge
Loaded Die ModelLoaded Die Model
0
20
40
60
80
100
120
140
1 2 3 4 5 6
Fair Loaded
Beveled Die Model and Results
Beveled Die Model and Results
0
20
40
60
80
100
120
140
1 2 3 4 5 6
Fair Loaded Bevelled
Loaded Die Model Results and Data
Loaded Die Model Results and Data
0
20
40
60
80
100
120
140
1 2 3 4 5 6
Fair Magentic LoadedBevelled Milled
CROOKED DICE AVERAGE
5060708090
100110120130140150160170180190200
1 2 3 4 5 6
Loaded
Magnetic
Milled
Beveled
Model
Adjusted to match model
Summer is here!Summer is here!