Calculate Number of Gaps

Calculator for the number of gaps or intermediate pieces in a regular arrangement of spheres or similar objects in a surface or in a space. Gaps occur when adjacent pieces do not fit together seamlessly. Please specify the number of pieces in length and width, and in the case of a three-dimensional arrangement also in height. The number of gaps is calculated. The formula is (l-1)*(w-1) or (l-1)*(w-1)*(h-1) for h≥2.

Number in length:
Number in width:
Number in height:
Number of gaps:

With 4 pieces in length and 3 in width, there are 6 gaps (red dots).

Egg carton
For this egg carton the length is 5, the width is 2. There are 4 elevations in between.

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