How to roll 1..N or 0..N-1

In this section we show various dice to roll a random number in the range 1..N or 0..N-1. For example, 1..4 can be rolled with a tetrahedron, with a square prism, with an octahedron with numbers 1..4 printed twice, with a dodecahedron with 3 x (1..4), etc.

Dice denoted with an asterisk * are not ideal

D2 (0..1)

Hexahedron

3 x 0-1

Octahedron

4 x 0-1

Ubiquity Die

Coins are also possible

D2 (1..2)

“Coin”

1-2

Bear Cub Machine

Tetrahedron

2 x 1-2

Formula Dé

Hexahedron

3 x 1-2

Not yet found: D8, 4x(1-2); etc.

D3 (1..3)

Elongated

triangular prism

HABA

Rounded-off

triangular prism

GameScience

Hexahedron

2 x 1-3

Hexahedron

2 x 1-3

Deltoidal

Icositetrahedron

D24, 8 x 1-3

1..3 pips

D-Total by

A. Simkin /

GameScience

Not yet found: D12, 4x(1-3)

D4 (1..4)

Tetrahedron

Modified

square prism

Crystal Caste (left)

Bear Cub Machine (right)

Octahedron

D8, 2 x 1-4

Dodecahedron

D12, 3 x 1-4

Koplow

Deltoidal Icositetrahedron

D24, 6 x 1-4

Numbers in triangle

D-Total by

A. Simkin / GameScience

Not yet found: D20, 5x(1-4)

D5 (1..5)

Triangular

Prism*

GameScience

Pentagonal

Trapezohedron

D10, 2 x 1-5

Not yet found: D20, 4x1-5

D6 (0..5)

Hexahedron

numbered

Hexahedron

pipped

D6 (1..6)

Hexahedron

pipped

Hexahedron

numbered

Hexahedron

English

words

Hexahedron

German

words

Modified

6-sided

Antiprism

Crystal Caste


Sphere	Concave a.k.a “Bones”	Crooked*	Jumping	Elliptical*

Tactile

Crystal pips*

Football

Hasbro

(Monopoly)

D12, 2x1-6

Hasbro

(Monopoly)

Deltoidal Icositetrahedron

D24, 4 x 1-6

Numbers in square

D-Total by

A. Simkin /

GameScience

D7 (0..6)

Y2K Die*

The Y2K die consists of two halves, each with 0,1,2, or 3 dots. The sum of the dots is in the range 0-6 (this is why it is listed here as D7). Note that the probabilities are not equal: 0 appears with probability 1/16, 1 (1/8), 2 (3/8), 3 (1/2), 4 (3/8), 5 (1/8), 6 (1/8).