Overall View

This is a striking example of complex compositions of muqarnas. I present a simple analysis of the most complex muqarnas which I have created. This exterior view of it from above shows its complexity. As you can see it is composed of multiple different forms. Yet it uses only the 16 unique muqarnas tiles without any gaps.  Its 16 tiles are based upon the regular 32-gon. As a result, it is a single surface without holes or overlaps. No half tiles or irregular gap filling tiles used. The power of muqarnas as a flexible space-enclosing system is revealed.

A Few Muqarnas Dome Variations

Basic Dome

This traditional muqarnas dome is the most basic form in this composition. It can be seen in two places. Most importantly, it is the source of all other muqarnas forms.

A Few Muqarnas Dome Variations

Chrysanthemum Dome

The ‘chrysanthemum’ flat dome is the next element. It’s hard to see in the overall composition. So I include its animation and the animation of it combined with the traditional dome and the unique forms which fill in between them.

Larger Dome

The larger dome contains a traditional dome on top with two other layers. Each layer has a different style or motif. Immediately below the traditional dome is a ‘Ray’ expansion tier. Below it is a more exotic second tier. I discovered it accidentally. It has two planes of symmetry at right angles.

Plan View of the Entire Composition

This view shows the large, unfinished enclosing circle. Its two halves mirror each other. The adjacent forms’ edges determine their shape. Like many mogharnas shapes, there is an inevitability to them. This is a result of the strict geometric definition of the muqarnas tiles themselves.

Muqarnas Complex Composition

Interior

Lastly, this interior view looking up shows the space shaping potential of muqarnas.

A Few Muqarnas Dome Variations