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2. Lattice multiplication - Wikipedia

   en.wikipedia.org/wiki/Lattice_multiplication

   A grid is drawn up, and each cell is split diagonally. The two multiplicands of the product to be calculated are written along the top and right side of the lattice, respectively, with one digit per column across the top for the first multiplicand (the number written left to right), and one digit per row down the right side for the second multiplicand (the number written top-down).

3. Grid method multiplication - Wikipedia

   en.wikipedia.org/wiki/Grid_method_multiplication

   The grid method (also known as the box method) of multiplication is an introductory approach to multi-digit multiplication calculations that involve numbers larger than ten. Because it is often taught in mathematics education at the level of primary school or elementary school , this algorithm is sometimes called the grammar school method.

4. Multiplication algorithm - Wikipedia

   en.wikipedia.org/wiki/Multiplication_algorithm

   Lattice, or sieve, multiplication is algorithmically equivalent to long multiplication. It requires the preparation of a lattice (a grid drawn on paper) which guides the calculation and separates all the multiplications from the additions. It was introduced to Europe in 1202 in Fibonacci's Liber Abaci. Fibonacci described the operation as ...

5. No-three-in-line problem - Wikipedia

   en.wikipedia.org/wiki/No-three-in-line_problem

   Brass, Moser, and Pach call it "one of the oldest and most extensively studied geometric questions concerning lattice points". [ 1 ] At most 2 n {\displaystyle 2n} points can be placed, because 2 n + 1 {\displaystyle 2n+1} points in a grid would include a row of three or more points, by the pigeonhole principle .

6. Integer lattice - Wikipedia

   en.wikipedia.org/wiki/Integer_lattice

   In mathematics, the n-dimensional integer lattice (or cubic lattice), denoted ⁠ ⁠, is the lattice in the Euclidean space ⁠ ⁠ whose lattice points are n-tuples of integers. The two-dimensional integer lattice is also called the square lattice , or grid lattice.

7. Lattice (order) - Wikipedia

   en.wikipedia.org/wiki/Lattice_(order)

   A lattice is an abstract structure studied in the mathematical subdisciplines of order theory and abstract algebra.It consists of a partially ordered set in which every pair of elements has a unique supremum (also called a least upper bound or join) and a unique infimum (also called a greatest lower bound or meet).