Methods and systems for designing and manufacturing a mathematically fair N-sided die are disclosed. An example method can comprise selecting an irregular polyhedron to serve as a die, and determining a center of mass of the selected irregular polyhedron die. In an aspect, a size of each face of the irregular polyhedron can be selected such that a solid angle subtended by each face from the center of mass of the selected irregular polyhedron can be equal. In an aspect a system comprising an injection molding apparatus can be used to form the die.

Methods and systems for designing and manufacturing a mathematically fair N-sided die are disclosed. An example method can comprise selecting an irregular polyhedron to serve as a die, and determining a center of mass of the selected irregular polyhedron die. In an aspect, a size of each face of the irregular polyhedron can be selected such that a solid angle subtended by each face from the center of mass of the selected irregular polyhedron can be equal. In an aspect a system comprising an injection molding apparatus can be used to form the die

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.