The Golden Angle Tower is a residential tower that consists of floors disposed clockwise by the
golden angle
as shown in the following picture:
.JPG "Golden Angle Tower")
Each apartment has a yard and panorama view. Your neighbor two floors upstairs is shifted by
nearly 85° to the right. The neighbor three floors upstairs is shifted by nearly 52,5° to the left.
Enjoy your yard open by the golden angle for five floors. Your yard is not covered until eight or thirteen floors above.
The golden angle provides, that no floor is placed directly over another. A mathematical theorem states
that the floors come horizontally nearer if and only if their vertical distance, i.e., difference of floor numbers,increasingly
is a Fibonacci number (1, 2, 3, 5, 8, 13, 21, 34, 55, ...).
In detail, this is described in the paper
The Golden Sequence
,
published in
The Fibonacci Quarterly, Volume 52, Number 1, February 2014.
The golden angle of 222.5° - or complementary 137.5° - divides a circle of 360°
into two parts.
Their ratio 222.5 / 137.5 is the golden ratio Φ = 1.61, well known from, e.g., the Parthenon, Acropolis, Athens.
As many plants grow by the golden angle, Phyllotaxis in Architecture is a kind of Biomimicry.
Burghard Herrmann
bfgh at netcologne.de