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Loaded Dice

Loaded Dice. Julie Skinner Jerod Parrent. Cheating Scoundrels. 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.

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Loaded Dice

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  1. Loaded Dice Julie Skinner Jerod Parrent

  2. Cheating Scoundrels • 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

  3. Earlier this semester • Rolled various dice • Loaded • Magnetic • Milled • Beveled • Model: fair • Biased for 1-face up • Exception: Milled favors 6 & 1

  4. Potential vs. Angle: Fair Potential Energy angle 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 5 5 2 2 3 3 2 2 2 6 6 6 6 6 • 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

  5. Potential vs. Angle: Loaded Loaded Fair • Energy Differences • Change in center of mass • Dependence on rotation axis • Goes to lowest energy

  6. Potential vs. Angle: Beveled Fair • Less energy to roll over beveled edge • Effects • Tends toward faces on either side of beveled edge Beveled

  7. Loaded Die Model

  8. Beveled Die Model and Results

  9. Loaded Die Model Results and Data Adjusted to match model

  10. Summer is here!

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