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Cell[CellGroupData[{
Cell["Describing Complexity", "Subtitle"],

Cell[TextData[{
  "YME\n",
  StyleBox["email: yme@yme-uk.net",
    FontFamily->"Arial",
    FontSize->13]
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Cell[TextData[StyleBox["Perhaps, the term complexity, when referring to \
complex geometry, comes from difficulties in describing geometries other than \
basic shapes i.e. arc, sphere, cone, etc. When comparing explicit use of \
mathematics versus traditional drawing techniques in architecture, complex \
geometry can be achieved in both methods of representation. The difference is \
that constructing complex geometry with mathematical expressions embeds all \
necessary information used to describe the output. On the contrary, \
representing complex geometry outside of the 3d environment of software \
programs such as AutoCAD, 3d studio max, Rhinoceros, Maya, etc., where it is \
drawn, is almost counterintuitive to the design process. In this case, \
complexity exists not just in the graphic output but in the reverse \
engineering that is done after the fact in order to rationalize what is drawn \
on the computer screen. \n\nWhile experimenting in Mathematica with TPMLS \
topologies, we found that manipulating mathematical expressions as input \
sometimes produced unexpected results that spawned a series of new \
investigations. The ability to manipulate geometry parametrically with \
several lines of equation allowed us to see the changes in the model without \
having to manually draw it. In addition, mathematically generated topologies \
are not bound to any drawing limitations that exist in the 3d modeling \
software. \n\nHaving said that, it is also important to mention that \
describing highly complex geometry is one thing, however, as architects we \
must also consider the issue of spatial representation. With the emergence of \
unrestricted complexity we can no longer rely solely on the traditional \
architectural conventions such as plans and sections. New methods of \
representation must be investigated to best describe designs conceived with \
new methods of drawing.  Parallel to this, is the issue of fabrication. For \
instance, in what ways the information used to produce the drawing be used \
for construction?\n",
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