One embodiment of a plurality of dice with markings such that when the primary die is rolled a user either lands on a randomized result within the predetermined probability distribution or is directed to roll a secondary die which either provides a result or directs the user to roll a tertiary die. In the embodiments discussed here the final result is achieved on the first roll over 90% of the time. The embodiments described and shown are capable of representing complex distributions that include highly improbable outcomes, providing users with the convenient alternative of simply reading the result rather than performing comparative and mathematical operations on the results of multiple dice rolls.

This invention is a gaming die that use a combination of incongruent sides and a number of sides that is greater than the number of outcomes in order to produce practically fair results.

Dice which have the exterior form of regular polyhedrons, but are not solid polyhedrons. Instead, the dice, when viewed externally, are in the form of skeletal polyhedrons with floating faces. The dice also include a solid core surrounding their center which can serve to improve tumbling behavior.

The wagering game with multiple position betting is a wagering game played using four separate clock faces, all bearing the same repeating sequential series of indicia, allowing for bets to be placed upon the outcome of up to four randomly determined outcomes in a single wager. Each clock face has a single hand selectively rotated to stop at a random position. The clock faces may be separately identified by indicia, such as size and color designations. The three additional clock faces are disposed within the main clock face. When the start button is pressed, the hands of each face spin for randomly determined periods, resulting in four unique wagering positions being identified per wager. In an alternative embodiment, the wagering game may include at least three colored wheels and at least three random number generators.

A system and method for teaching and learning mathematics. The system includes a plurality of modules including a first module having blocks for assembling into different configurations, a second module having a plurality of sheets of predetermined mathematical equations, a third module having a plurality of dice having numbers and mathematical operation symbols, and a fourth module having a deck of playing cards. At least one of the modules is implemented with augmented or virtual reality. The blocks of the first module comprise blocks of differing geometric shapes. The sheets of the second module comprise at least addition, subtraction, multiplication, and division operations. The third module includes dice having a plurality of sides, with two dice having a number on each side and one dice having a different mathematical operation symbol on each side. The deck of the fourth module contains playing cards with numbers on both sides.

A programmable die may feature a robust frame structure housing a plurality of display screens which may be programmed to display any number of possible data. Any number of sides are possible, so long as they can be read. The die may be programmed remotely, such as through an app, or manually. The displays may be LCD screens or electronic paper, or any later discovered and suitable device. A battery may be directly or inductively charged.

Certain embodiments of 60-sided and 120-sided replacement dice each having a probability distribution equivalent to that of a subject die with fewer faces than the corresponding replacement die such that each replacement die can be used in place of the corresponding subject die.

A set of polyhedral game pieces is suited for reinforcing certain mathematical operations. Each of the polyhedral game pieces includes a plurality of sides, each of which contains a number. The polyhedral game pieces are configured to reduce or eliminate occurrences of simpler math fact families when rolled. The game pieces are adaptable to numerous forms of game play to assist students in mastering more difficult math concepts.

A device for conducting a roulette game includes a rotatable wheel with a plurality of pockets each associated with a game indicium and a selector having at least one face with a payout indicator thereon. Wagers are received from players on the outcome of a spin. The selector is propelled into a rotating wheel and the game indicium associated with the pocket in which the pocket comes to rest is used to resolve the wagers. The payout indicator on a designated face of the selector determines, at least in part, the payout for certain of the winning wagers.

An electronic die capable of reporting roll results is disclosed. The die can include an acceleration measurement system capable of outputting roll data. A processor can then interpret the roll data and transmit it through a wireless interface to a monitoring device. The monitoring device can then show a user the roll result. Waking the electronic die from a low power mode is also disclosed along with customizing the electronic die with faceplates and protective covers.