Dude, I normally don't engage in flame wars, but you're as ignorant as ignorant gets and you're the one driving things in an unproductive manner since you have no idea what you're talking. The golden mean is NOT a "design" that "trumps" this one, it is a way of helping someone get PROPORTIONS that would LOOK nice.
As stated, it would be used in CONJUNCTION with RE's design to make the finished product look nicer.
I tried to offer some advice that would be "productive" but in your ignorance you're trying to start a flame war. The golden mean actually IS an engineering principle that has been used since long before you me or the 10 generations before us was roaming the earth.
DonW's mentioned it on this site on some DIY stand threads, i'm just surprised I don't see it anywhere in this thread as it could help a lot of people out with their stand's.
Don's posted the following in another thread which aligns perfectly with RE's stand design as well, but probably isn't as accurate as doing the math yourself.
Use these numbers to build the most visually pleasing stand and hood
72, 45, 28, 17, 11, 6, 4
The 40b is 16 15/16 tall so use 17 as the tank, 45 for the stand and 11,6 or 4 for the hood. Notice 28 is included and why its standard.
If its a glass AGA and your going to recess it to cover the black plastic trim and the trim is 1" then use these numbers.
94,39,24,15,9,6,4 15 is the exposed tank, 39 stand and 9,6 or 4 is the canopy.
Don
To do the math yourself....
For instance... taking a tank/stand combo that would be 40" wide using RE's stand design, ie a 40 breeder, with a shelf, moulding, etc, that makes it a bit wider. Multiple the 40" by 1.618 and you would get a total height of 64.72". Round that to 64 3/4" high for ease of construction.
Take out the 17" height of the Tank, and you would have 50.75" leftover to divide between your "hood" and the "stand". Most "hoods" i've looked at fall in the 9" or so range, so take out another 9" and you would want your stand height to be around 41.75" high. Which would put a 40breeder at a really nice height to view, and work on. It won't be too tall for you to reach over the top and put your hands in it, nor to slightly bend over to look at or anything else.
You can also take some height out of the canopy if you want to create a shorter one, and raise the stand up higher to a more "standing" height view. Just adjust the numbers accordingly.
Later
Tarkin