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2. Perimeter - Wikipedia

   en.wikipedia.org/wiki/Perimeter

   Perimeter is the distance around a two dimensional shape, a measurement of the distance around something; the length of the boundary. A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.

3. Isoperimetric inequality - Wikipedia

   en.wikipedia.org/wiki/Isoperimetric_inequality

   If a region is not convex, a "dent" in its boundary can be "flipped" to increase the area of the region while keeping the perimeter unchanged. An elongated shape can be made more round while keeping its perimeter fixed and increasing its area. The classical isoperimetric problem dates back to antiquity. [2]

4. Waring's problem - Wikipedia

   en.wikipedia.org/wiki/Waring's_problem

   G(3) is at least 4 (since cubes are congruent to 0, 1 or −1 mod 9); for numbers less than 1.3 × 10 9, 1 290 740 is the last to require 6 cubes, and the number of numbers between N and 2N requiring 5 cubes drops off with increasing N at sufficient speed to have people believe that G(3) = 4; [21] the largest number now known not to be a sum of ...

5. Wetted perimeter - Wikipedia

   en.wikipedia.org/wiki/Wetted_perimeter

   The wetted perimeter is the perimeter of the cross sectional area that is "wet". [1] The length of line of the intersection of channel wetted surface with a cross sectional plane normal to the flow direction.