The aim of Hidato is to connect all the numbers in the grid by forming a consecutive string of numbers, connected either horizontally, vertically, or diagonally. To assist, the first and last number are highlighted, and a few numbers are provided. You simply need to form the string from the start to finish via the provided numbers.
A nonogram contains a grid with numbers at the top, and on the left. The numbers describe how many squares are filled in, in order; so if it says ‘5, 3′, this means there are 5 filled in squares in that row or column, followed by a gap, then another 3. There are numbers to indicate how many squares are filled on every row and column.
With this information, you can fill in the squares, and so produce a picture, which is the solution.
In a Slitherlink, you are given a grid, and you need to form a closed loop using horizontally and vertically adjacent dots. Numbers provided on the grid tell you how many of the sides of the square the number exists in are in the loop: this means if there is a 4, then there is a line connecting all dots around the number 4.