Polyhedral Dice in Gaming and Probability

Whether you're running a Dungeons & Dragons campaign, teaching statistics, or playing Yahtzee, polyhedral dice represent the Platonic solids discovered in ancient geometry. Each die provides an equal chance for any face to land upright.

Die Types & Common Uses

  • d4 (Tetrahedron): Dagger damage and minor healing spells in RPGs.
  • d6 (Cube): Classic board games (Monopoly, Risk, Catan) and weapon attacks.
  • d8 (Octahedron): Longsword and martial arts strikes.
  • d10 / d100: Percentile tables and skill verification tests.
  • d12 (Dodecahedron): Barbarian hit dice and heavy greataxes.
  • d20 (Icosahedron): The universal check for combat hits, saving throws, and ability tests.