How America’s back-to-the-land movement gave rise to the geodesic dome home
curbed.com
curbed.com
In short, it’s what you get when you try to turn the icosahedron and dodecahedron into a practical construction toolkit. Everything fits together remarkably well, using struts which scale in length using the golden ratio τ = ½(1+√5). Indeed, every point you can construct using the system lies on a "golden integer" grid, with x, y, and z coordinates some integer combination of 1 and τ.
I recommend anyone interested in geometry, or anyone who knows some 8–18 year old kids, buy some Zometool toys, http://zometool.com, which are really fantastic tools for learning about geometric modeling for mathematics, physics, chemistry, architecture, computer graphics, .... [The company site doesn’t have the best pictures IMO, but check out a google image search https://www.google.com/search?tbm=isch&q=zometool]
By the way, for anyone interested in manufacturing, the Zometool spheres are pretty ridiculous (basically impossible, but somehow they did it) to injection mold. Check out this amusing essay http://bridgesmathart.org/2011/cdrom/proceedings/135/paper_1...
Also check out the fun related papers people have been putting out at the Bridges Math + Art conference every year, http://bridgesmathart.org
The natural cooling only works(?) until you put objects such as people, partitions & furniture in it that disrupts the efficiency of said airflow. If you seal it and heat/cool with conventional means, you get temperature layers as you rise up in multi-level units.
They leak. Period. No matter if it's shingles or rubber or any other coating, domes shrink & contract with every sunrise/sunset. Then when it rains, it rains inside your home.
Try maximizing space in a round room sometime. Sure custom made & high-end offerings are to be had, but where's the simplicity & savings in having to replace all your possessions? Then there's a lot of wasted space above your head that you have to heat/cool for no additional benefit.
Yes, I lived in one for several years. The property was fantastic, the dome was "tolerable", at best. YMMV.