| Both sides previous revision
Previous revision
Next revision
|
Previous revision
|
terminology [2023/03/19 11:55]
harshec |
terminology [2024/01/28 16:58] (current)
harshec |
| ====Terminology==== | ====Terminology==== |
| * **Alphabetic String.** An alphabetic string (or just "string") is a representation of a dice set that is more convenient than the traditional "array listing" and takes advantage of the fact that it is assumed that no numeric values are repeated across the dice. In an alphabetic string of //n// dice, the first //n// letters of the alphabet (traditionally lowercase) are concatenated into a single string so that a letter's position in the string indicates that that particular numeric value is assigned to that die. For example, the alphabetic string ''cbabccccbabc'' is equivalent to the d2+d4+d6 set:<code> | * **Alphabetic String.** An alphabetic string (or just "string") is a representation of a dice set that is more convenient than the traditional "array listing" and takes advantage of the fact that it is assumed that no numeric values are repeated across the dice. In an alphabetic string of //n// dice, the first //n// letters of the alphabet (traditionally lowercase) are concatenated into a single string so that a letter's position in the string indicates that that particular numeric value is assigned to that die. For example, the alphabetic string <code>cbabccccbabc</code> is equivalent to the d2+d4+d6 set:<code> |
| Die 1: 3, 10 | Die 1: 3, 10 |
| Die 2: 2, 4, 9, 11 | Die 2: 2, 4, 9, 11 |
| * **Inhomogeneous (aka Heterogeneous).** Not homogeneous.\\ \\ | * **Inhomogeneous (aka Heterogeneous).** Not homogeneous.\\ \\ |
| * **Mirrored/Palindromic.** (see "Symmetry")\\ \\ | * **Mirrored/Palindromic.** (see "Symmetry")\\ \\ |
| | * **Nice Dice.** A "nice" set comprises dice that are all isohedral shapes that are not lenses or rolling logs ("nice" is definitely subjective, since 2//n//-lens-shaped dice with small //n// values are definitely functional and pleasing enough for some folks' tastes). Also, a d2 (a coin) is not considered "nice", but that is purely the opinion of this author (Eric). "Nice" side counts, therefore, are the following: 4, 6, 8, 12, 20, 24, 30, 48, 60, and 120.\\ \\ |
| * **Permutation Fairness.** (see "Fairness")\\ \\ | * **Permutation Fairness.** (see "Fairness")\\ \\ |
| * **Place Fairness.** (see "Fairness")\\ \\ | * **Place Fairness.** (see "Fairness")\\ \\ |
| Die 4: 4, 5, 9, 16, 20, 21, 28, 29, 33, 40, 44, 45 | Die 4: 4, 5, 9, 16, 20, 21, 28, 29, 33, 40, 44, 45 |
| </code> | </code> |
| * **Mirror Symmetry** occurs when a dice set's alphabetic string is palindromic (reads the same forward as it does backward). This type of symmetry is often called "Palindromic", for obvious reasons. Here is an example: ''ccbbbaaaaaabbbccccccccbbbaaaaaabbbcc''. Physical dice within a set that has mirror symmetry have the property that all pairs of opposite faces (of all of the dice) add up to the same number. | * **Mirror Symmetry** occurs when a dice set's alphabetic string is palindromic (reads the same forward as it does backward). This type of symmetry is often called "Palindromic", for obvious reasons. Here is an example: <code>ccbbbaaaaaabbbccccccccbbbaaaaaabbbcc</code> Physical dice within a set that has mirror symmetry have the property that all pairs of opposite faces (of all of the dice) add up to the same number. |
| |
| |
| |
