# The Golden Angle Tower

The *Golden Angle Tower* is a residential tower that consists of floors disposed clockwise by the
golden angle
as shown in the following picture:

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 Sequence

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.

The Golden Angle Tower

### Impressum

Burghard Herrmann

bfgh at netcologne.de