Tower Muqarnas

For this tower form I made a series of arbitrary choices that seemed right. Along the way some of those choices forced me to back out in order to get closer to an unrealized and unknown form. See image below. The form (below left) was too predictable, too regular and led nowhere but to an ever larger umbrella shape. So I ditched it. This is an example of my reasons for tearing out part of the nascent shape(s) on the way to a final form, which was unrelated to much of the geometry along the way. It is rather like sketching something unseen and is initially approached by what it isn’t. Each time one throws away some of what it isn’t, the true form begins to be known.
 
As shown by example below, many of these choices required removing much work while chasing various spatial ideas. What began as an idea for a muqarnas interpretation of a straight roofline went through various re-conceptions before finally emerging as tower sheathed in muqarnas made of a stacking element crowned with a top. Muqarnas make poor followers (they rarely do what you want). Equally, muqarnas are difficult to follow. They would probably be much better behaved under under someone with much greater math skills than myself.
 
The most difficult part was making the lower element stackable. I have tried on various other occasions to make columns out of muqarnas, without success. I can only attribute solving the problem here to blind luck. Rotating when stacking was the key in the proverbial lock. It’s rather like Blake in his Proverbs of Hell, “If the fool would persist in his folly he would become wise.”