The irregularity of distributions problem, stated first by Hugo Steinhaus, is a numerical problem with a surprising result. The problem is to find N numbers, , all between 0 and 1, for which the following conditions hold: * The first two numbers must be in different halves (one less than 1/2, one greater than 1/2). * The first 3 numbers must be in different thirds (one less than 1/3, one between 1/3 and 2/3, one greater than 2/3). * The first 4 numbers must be in different fourths. * The first 5 numbers must be in different fifths. * etc.