- What is the best roof?
- What is the best ceiling?
- What are the best overall dimensions?
-The best ceiling is a 7 ft. ceiling (6ft. is too low, and 8ft. is unnessarily high)
-The best overall dimensions are 8ft. by 8ft. by 9ft. because this size can be carried, lying down, on the back of :
- Any truck, any time, anywhere in North America, and yields an inside measurement of 6ft. by 6ft. by 7ft.
For an 8ft. by 8ft. by 9ft. structure:
- Outer volume : 8x8x9 = 576 cu. ft.
- Inner volume : 6x6x7 = 252 cu. ft.
- 1 ft shell vol : 576-252 = 324 cu. ft.
- Number of modules =324/4 = 81 semi-quasi-cubes
Each module occupies 4 cu. ft. and there are 4 tetrahedra in each module.
Therefore each tetrahedron represents one cubic foot of the 3-D tessellation.
Subtract the number of modules necessary for a door, 3 wndows, and a chimney (10 modules):