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Lattice multiplication, also known as the Italian method, Chinese method, Chinese lattice, gelosia multiplication, [1] sieve multiplication, shabakh, diagonally or Venetian squares, is a method of multiplication that uses a lattice to multiply two multi-digit numbers.
During the multiplication phase, the lattice is filled in with two-digit products of the corresponding digits labeling each row and column: the tens digit goes in the top-left corner. During the addition phase, the lattice is summed on the diagonals.
Napier's bones is a manually operated calculating device created by John Napier of Merchiston, Scotland for the calculation of products and quotients of numbers. The method was based on lattice multiplication, and also called rabdology, a word invented by Napier.
Matraki's triangular lattice multiplication. Multiplication begins by multiplying two numbers in the same column from the far right of the row. Since the 4x5 product (20) is a two-digit number, the number in the theirs digit (2) is written above the mesh, and the number (0) in the ones digit is written below the mesh.
The same is done for each digit of the multiplicand and the result in each case is shifted one position to the left. As a final step, all the individual products are added to arrive at the total product of the two multi-digit numbers. [69] Other techniques used for multiplication are the grid method and the lattice method. [70]
Winter-Themed Christmas PieCakes. He created a cake and pie dessert that features three desserts in one: pecan pie, pumpkin pie, and spice cake.
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In either case, one needs to choose the three lattice vectors a 1, a 2, and a 3 that define the unit cell (note that the conventional unit cell may be larger than the primitive cell of the Bravais lattice, as the examples below illustrate). Given these, the three primitive reciprocal lattice vectors are also determined (denoted b 1, b 2, and b 3).