The CMC surfaces pictured here partition the unit cube into 3 equal volumes, and are arranged in order of increasing surface area. The creation of these surfaces was inspired by a problem posed by Horst Simon: What is the least surface area required to thusly partition the unit cube? Although the problem is open, these simulations suggest that the minimizer may be the product of the unit line segment with the minimizer for the one-dimension-lower problem on the square. Note that second surface has only about 0.16 percent more area than the first.

The surfaces were generated using the ^ Brakke Surface Evolver using input generated by LEDG The images were rendered using VPS.

	area: 1.62361
	area: 1.62621
	area: 1.64263
	area: 1.75743
	area: 1.78878
	area: 1.82977
	area: 1.99562
	area: 2.00000
	area: 2.04800
	area: 2.11093
	area: 2.12663
	area: 2.25231
	area: 2.69192