triangle groups造句

例句与造句

1. Torsion-free normal subgroups of the ( 2, 3, 7 ) triangle group are Fuchsian groups associated with Hurwitz surfaces, such as the Klein quartic, Macbeath surface and First Hurwitz triplet.
2. There exists Veech surfaces whose Veech group is not arithmetic, for example the surface obtained from two regular pentagons glued along an edge : in this case the Veech group is a non-arithmetic Hecke triangle group.
3. In geometric group theory, triangle groups are classified into Euclidean, spherical, and hyperbolic cases according to whether an associated sum of unit fractions is equal to one, greater than one, or less than one respectively.
4. Spherical triangle groups can be identified with the symmetry groups of regular " n "-gons joined together, or dually hosohedra, which are formed by joining " n " digons together at two vertices.
5. The Fuchsian group defining the Bolza surface is also a subgroup of the ( 3, 3, 4 ) triangle group, which is a subgroup of index 2 in the ( 2, 3, 8 ) triangle group.
6. It's difficult to find triangle groups in a sentence. 用triangle groups造句挺难的
7. The Fuchsian group defining the Bolza surface is also a subgroup of the ( 3, 3, 4 ) triangle group, which is a subgroup of index 2 in the ( 2, 3, 8 ) triangle group.
8. A co-compact example is the ( ordinary, rotational ) ( 2, 3, 7 ) triangle group, containing the Fuchsian groups of the Klein quartic and of the Macbeath surface, as well as other Hurwitz groups.
9. When these are whole numbers, the triangle is called a "'M鯾ius triangle, "'and corresponds to a " non "-overlapping tiling, and the symmetry group is called a triangle group.
10. Related to tilings and the regular polyhedra, there are exceptional Schwarz triangles ( triangles that tile the sphere, or more generally Euclidean plane or hyperbolic plane via their triangle group of reflections in their edges ), particularly the M鯾ius triangles.
11. The group of complex automorphisms is a quotient of the " ordinary " ( orientation-preserving ) triangle group, while the group of ( possibly orientation-reversing ) isometries is a quotient of the " full " triangle group.
12. The group of complex automorphisms is a quotient of the " ordinary " ( orientation-preserving ) triangle group, while the group of ( possibly orientation-reversing ) isometries is a quotient of the " full " triangle group.
13. "' Triangle Group "'( also known as "'Triangle Tyre "') is a Chinese tire company that manufactures a range of tires for vehicles from passenger cars to construction equipment and tires fit for special purposes.
14. These are representations of hyperbolic ideal triangle groups to the group of holomorphic isometries of the complex hyperbolic plane such that each standard generator of the triangle group maps to a " C "-reflection and the products of pairs of generators to parabolics.
15. These are representations of hyperbolic ideal triangle groups to the group of holomorphic isometries of the complex hyperbolic plane such that each standard generator of the triangle group maps to a " C "-reflection and the products of pairs of generators to parabolics.
16. Its triangle group ( or more precisely the index 2 von Dyck group of orientation-preserving isometries ) is the ( 2, 3, 7 ) triangle group, which is the universal group for all Hurwitz groups  maximal groups of isometries of Riemann surfaces.
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