Please answer the following question: Information: - A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices "A", "B", and "C" is denoted formula_1. - In geometry, a hexagon (from Greek "hex", "six" and , "gonia", "corner, angle") is a six sided polygon or 6-gon. The total of the internal angles of any hexagon is 720. - In geometry , the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons . It consists of equilateral triangles and regular hexagons , arranged so that each hexagon is surrounded by triangles and vice versa . The name derives from the fact that it combines a regular hexagonal tiling and a regular triangular tiling . Two hexagons and two triangles alternate around each vertex , and its edges form an infinite arrangement of lines . Its dual is the rhombille tiling . This pattern , and its place in the classification of uniform tilings , was already known to Johannes Kepler in his 1619 book Harmonices Mundi . The pattern has long been used in Japanese basketry , where it is called kagome . The Japanese term for this pattern has been taken up in physics , where it is called a Kagome lattice . It occurs also in the crystal structures of certain minerals . Conway calls it a hexadeltille , combining alternate elements from a hexagonal tiling ( hextille ) and triangular tiling ( deltille ) . - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries. - Space is the boundless three-dimensional extent in which objects and events have relative position and direction. Physical space is often conceived in three linear dimensions, although modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework. - In geometry an arrangement of lines is the partition of the plane formed by a collection of lines. Bounds on the complexity of arrangements have been studied in discrete geometry, and computational geometers have found algorithms for the efficient construction of arrangements. - In geometry, the rhombille tiling, also known as tumbling blocks, reversible cubes, or the dice lattice, is a tessellation of identical 60 rhombi on the Euclidean plane. Each rhombus has two 60 and two 120 angles; rhombi with this shape are sometimes also called diamonds. Sets of three rhombi meet at their 120 angles and sets of six rhombi meet at their 60 angles. - In geometry, the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane. Because the internal angle of the equilateral triangle is 60 degrees, six triangles at a point occupy a full 360 degrees. The triangular tiling has Schlafli symbol of {3,6}. - In planar geometry, an angle is the figure formed by two rays, called the "sides" of the angle, sharing a common endpoint, called the "vertex" of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Angles are also formed by the intersection of two planes in Euclidean and other spaces. These are called dihedral angles. Angles formed by the intersection of two curves in a plane are defined as the angle determined by the tangent rays at the point of intersection. Similar statements hold in space, for example, the spherical angle formed by two great circles on a sphere is the dihedral angle between the planes determined by the great circles. - Geometry (from the ; "geo-" "earth", "-metron" "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer. - In geometry, the Schlafli symbol is a notation of the form {p,q,r...} that defines regular polytopes and tessellations. - In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which three hexagons meet at each vertex. It has Schlafli symbol of {6,3} or "t"{3,6} (as a truncated triangular tiling). - Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric objects. Most questions in discrete geometry involve finite or discrete sets of basic geometric objects, such as points, lines, planes, circles, spheres, polygons, and so forth. The subject focuses on the combinatorial properties of these objects, such as how they intersect one another, or how they may be arranged to cover a larger object. After reading the paragraphs above, we are interested in knowing the entity with which 'trihexagonal tiling' exhibits the relationship of 'subclass of'. Find the answer from the choices below. Choices: - angle - arrangement - change - collection - definition - direction - discrete geometry - entity - field - geometry - greek - hexagon - intersection - learning - mathematics - measurement - notation - object - part - plane - polygon - quantity - space - structure - surface - symbol - tessellation - triangle - variety - vertex
Answer:
tessellation