Relation Between Orbifold Notation and Order
The order of each group is 2 divided by the orbifold Euler characteristic; the latter is 2 minus the sum of the feature values, assigned as follows:
- n without or before * counts as (n−1)/n
- n after * counts as (n−1)/(2n)
- * and x count as 1
This can also be applied for wallpaper groups and frieze groups: for them, the sum of the feature values is 2, giving an infinite order; see orbifold Euler characteristic for wallpaper groups
Read more about this topic: Point Groups In Three Dimensions
Famous quotes containing the words relation and/or order:
“You see, I am alive, I am alive
I stand in good relation to the earth
I stand in good relation to the gods
I stand in good relation to all that is beautiful
I stand in good relation to the daughter of Tsen-tainte
You see, I am alive, I am alive”
—N. Scott Momaday (b. 1934)
“I do not know if you remember the tale of the girl who saves the ship under mutiny by sitting on the powder barrel with her lighted torch ... and all the time knowing that it is empty? This has seemed to me a charming image of the women of my time. There they were, keeping the world in order ... by sitting on the mystery of life, and knowing themselves that there was no mystery.”
—Isak Dinesen [Karen Blixen] (1885–1962)