例句與造句

1. While no tiling by this prototile admits a Schmitt-Conway-Danzer tile.
2. In 1988, Peter Schmitt discovered a single aperiodic prototile in 3-dimensional Euclidean space.
3. A monohedral tiling is a tessellation in which all tiles are congruent; it has only one prototile.
4. A tessellation is said to be "'monohedral "'if it has exactly one prototile.
5. The question of whether an aperiodic set exists with only a single prototile is known as the einstein problem.
6. It's difficult to find prototile in a sentence. 用prototile造句挺難的
7. A "'tiling T "'is a set of prototile placements whose regions have pairwise disjoint interiors.
8. These figures also show that the criterion is a sufficient but not necessary condition for a prototile to tile the plane.
9. In the theory of tessellations, he devised the Conway criterion which describes rules for deciding if a prototile will tile the plane.
10. If a prototile admits a tiling, but no such tiling is isohedral, then the prototile is called anisohedral and forms anisohedral tilings.
11. If a prototile admits a tiling, but no such tiling is isohedral, then the prototile is called anisohedral and forms anisohedral tilings.
12. A tiling is usually understood to be a covering with no overlaps, and so the Gummelt tile is not considered an aperiodic prototile.
13. Any prototile satisfying Conway's criterion admits a periodic tiling of the plane and does so using only translation and 180-degree rotations.
14. The Conway criterion is a sufficient condition to prove that a prototile tiles the plane but not a necessary one; there are tiles that fail the criterion and still tile the plane.
15. An isohedral tiling is a special variation of a monohedral tiling in which all tiles belong to the same transitivity class, that is, all tiles are transforms of the same prototile under the symmetry group of the tiling.
16. The "'Schmitt Conway Danzer biprism "'( also called a SCD prototile ) is a polyhedron topologically equivalent to the gyrobifastigium, but with parallelogram and irregular triangle faces instead of squares and equilateral triangles.