less calculation, yes. Less material, no.
With 19 walls, 10 ft. each, you can enclose an area of 1039.23 square feet in 4 hexagonal rooms.
Now, that same 1039.23 square feet in a square pattern is 32.24 feet on a side. To get 4 rooms you need 12 walls of 16.12 feet each. 12 x 16.12 = 193.42 feet of wall.
With hexagons you need only 190 feet of wall.
Well done, thanks!