A Fair Die of 13 Faces

https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-Die13-G13-035-1.jpg
https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-Die13-G13-035-2.jpg
https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-Die13-G13-035-3.jpg
https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-Die13-G13-035-4.jpg
https://www.gathering4gardner.org/g4g13gift/ExchangeArchive-Die13-G13-035-5.jpg

Source

G4G13

Title

A Fair Die of 13 Faces

Creator

Contributor

Ryuhei Uehara

Subject

Art
Rec Math

Description

A cube is used as a fair die of 6 faces. However, there are many dice of different shapes on the market. To make them fair, most of them usually have some symmetric shapes. I classify these variants of dice on the market into two groups. First, let's consider that a sphere as a model of a fair die with infinity faces. Based on this model, many symmetric shapes can be modeled as dice obtained by caving spheres. We also have a familiar fair device; a coin. That is, a fair coin can be seen as a fair die with 2 faces. However, a real coin has a thickness, and hence it is, in fact, an unfair die with 3 faces. From this viewpoint, I propose a way for designing a fair die with n faces for arbitrary n. I also prepare fair dice with 13 faces as an exchange gift of G4G13.

Identifier

G13-035

Collection

Tags

Citation

“A Fair Die of 13 Faces,” G4G Gift Exchange Archive, accessed July 19, 2024, https://g4gexchangearchive.omeka.net/items/show/1293.

Comments

Allowed tags: <p>, <a>, <em>, <strong>, <ul>, <ol>, <li>