Assertion: dodecahedron's surface | /r/MadeOf | given volume
Facets:
Source sentences:
text: Nature's own economy and minimalism is the reason why: (a) "the surface of smallest area that encloses a given volume is a sphere"; (b) "Without some constraint, the area of minimal surface would be zero"; and, (c) "Minimal surface" is a surface whose area is the smallest possible, subject to the following constraints: the shape's surface must contain some given volume, and its boundary should lie on some given surface or curve, or both (p. 104).