Geometric Design Primer - part 1

In one of my previous blogs, I touched on the concept of "geometric design". This
prompted some good questions: "What is geometric design?", "How do I recognize it?",
etc. I'll try to address this as simply as possible, in a couple of blogs. If you define the
word "geometric" literally you get geo=earth and metric=measure. Thus, geometry is
measuring the shapes and forms that comprise our planet. Since humans have been
experiencing the shapes and forms that comprise the natural world for arguably millions
of years, these shapes and forms have been internalized in our DNA. Therefore, we
appreciate these natural forms, shapes, and organizing principals as they show up in our
built environment
. To demonstrate this, let's analyze a structure that was undoubtedly
designed with these principals in mind.
Here's a Catholic church in my town
that has a strikingly simple and elegant
facade. It's obvious when you look at it
that it was designed with some
organizing principals in mind, and
looking at it tends to produce a sense of
relaxation in most people, unless the
fact that it's a church is disquieting to
them. Let's see if we can find the
underlying geometric system, starting
with the overall shape of the gable end.
This seems pretty simple. The gable end is
comprised of four identical rectangles,
bisected diagonally to define the roof pitch.
The next most obvious design feature is the
window and door layout. I wonder if we can
figure out how the designer arrived at that.
This is a very common shape in traditional
design, especially in churchs and cathedrals.
The pentagram is constructed upon
proportions called the "golden section"
which is derived from the "divine
proportion", which I'll explain in detail in the
next blog. As you can see, the points of the
pentagram touch the tops of all of the
windows and the bottom intersecting lines
of the pentagram meet in the middle of the
doorway. This shape being so common in
Christian architecture would suggest to me
that the earth-based religions and belief
systems that preceeded Christianity were, in
fact, an important foundational element to
modern religions. (yet another blog!?)
Let's start to analyze some the sizes and
proportions of the distinct elements of the
facade. Here we see that the lower windows
are the same size as each door. You might
also notice that the entire width of the gable
end is equal to the width of the window or
door times 10. If you laid 10 doors next to
each other, you'd describe the width of the
building.
I had to wonder for a few minutes how the
designer arrived at the size of the upper
window. It turns out that if you take the
windows in the doors, turn them 90 degrees,
and stack them end to end, you describe the
size of the upper window up to the point
where the gothic arch starts. The height of
the glass part of the upper window is also
equal to the width of the lower windows.
Here we see more repeating design elements
and proportions. All of the blue boxes are the
same size. The rectangle describes the size and
shape of the upper window with trim, the
lower windows to the base of the arch, the fan
above the doors, and the stone steps. All of
these repeating elements tend to bring visual
harmony to the facade and introduce a
peaceful viewing experience.
I hope that I've answered some questions about geometric design. In the next segment, I'll
explain some concepts such as: golden section, divine proportion, and root rectangle, and
demonstrate where they show up in nature. I'll tie architectural harmony into musical
harmony, and we'll take a look at a different type of organizing system in a classic building
design. If you've found this blog useful or enjoyable, please forward to someone else that you
think will enjoy it.
Classic Architecture Meets Sustainable GreenTechnology