Convex lattice polytope A convex lattice polytope (also called Z-polyhedron or Z-polytope) is a geometric object playing an important role in discrete geometry and combinatorial commutative algebra.
Diamond cubic The diamond cubic crystal structure is a repeating pattern of 8 atoms that certain materials may adopt as they solidify.
Divisor summatory function In number theory, the divisor summatory function is a function that is a sum over the divisor function.
E8 lattice In mathematics, the E8 lattice is a special lattice in R8.
Ehrhart polynomial In mathematics, an integral polytope has an associated Ehrhart polynomial that encodes the relationship between the volume of a polytope and the number of integer points the polytope contains.
Euclid's orchard In mathematics, informally speaking, Euclid's orchard is an array of one-dimensional "trees" of unit height planted at the lattice points in one quadrant of a square lattice.
Fokker periodicity blocks Fokker periodicity blocks are a concept in tuning theory used to mathematically relate musical intervals in just intonation to those in equal tuning.
Fundamental pair of periods In mathematics, a fundamental pair of periods is an ordered pair of complex numbers that define a lattice in the complex plane.
Gauss circle problem In mathematics, the Gauss circle problem is the problem of determining how many integer lattice points there are in a circle centred at the origin and with radius r.
Gaussian integer In number theory, a Gaussian integer is a complex number whose real and imaginary part are both integers.
Hexagonal lattice The hexagonal lattice or equilateral triangular lattice is one of the five 2D lattice types.
II25,1 In mathematics, II25,1 is the even 26-dimensional Lorentzian unimodular lattice.
Integer lattice In mathematics, the n-dimensional integer lattice (or cubic lattice), denoted Zn, is the lattice in the Euclidean space Rn whose lattice points are n'...
Integer points in convex polyhedra Study of integer points in convex polyhedra is motivated by the questions, such as "how many nonnegative integer-valued solutions does a system of linear equations with nonnegative coefficients ...
Kemnitz's conjecture In additive number theory, Kemnitz's conjecture states that every set of lattice points in the plane has a large subset whose centroid is also a lattice point.
Lattice (group) In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn.
Lattice reduction In mathematics, the goal of lattice basis reduction is given an integer lattice basis as input, to find a basis with short, nearly orthogonal vectors.
Leech lattice In mathematics, the Leech lattice is an even unimodular lattice Λ24 in 24-dimensional Euclidean space E24 found by.
Meyer set In mathematics, a harmonious set is a subset of a locally compact abelian group on which every weak character may be uniformly approximated by strong characters.
Niemeier lattice In mathematics, a Niemeier lattice is one of the 24 positive definite even unimodular lattices of rank 24, which were classified by.
No-three-in-line problem In mathematics, in the area of discrete geometry, the no-three-in-line-problem, introduced by Henry Dudeney in 1917, asks for the maximum number of points that can be placed in the n × n...
Poisson summation formula In mathematics, the Poisson summation formula is an equation that relates the Fourier series coefficients of the periodic summation of a function to values of the function's continuous Fourier t...
Reciprocal lattice In physics, the reciprocal lattice of a lattice (usually a Bravais lattice) is the lattice in which the Fourier transform of the spatial wavefunction of the original lattice (or direct lattice...
Reeve tetrahedron In geometry, the Reeve tetrahedron is a polyhedron, named after John Reeve, in R3 with vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0) and (1, 1, ...
Regular grid A regular grid is a tessellation of n-dimensional Euclidean space by congruent parallelotopes (e.g.
Square lattice In mathematics, the square lattice is a type of lattice in a two-dimensional Euclidean space.
Unimodular lattice In mathematics, a unimodular lattice is a lattice of determinant 1 or −1.