Gazeta.ru has published article about seven skyscrapers of unusual shapes with Azerbaijan's Flame Towers among them.
The coin (Abu-Dhani, UAE)

Arabs have become the kings of skyscrapers over the past years, thus
demonstrating their wealth. Therefore, the choice of a coin as a shape
for one of the buildings is quite logical. This skyscraper is the head
office of Aldar construction company. By the way, this is yet another
tendency in the world of skyscrapers: most of them are built at the
order of a rich company. The design has been developed by Qatar
architects. The building was constructed in just seven months in 2010
and became the first round high-rise in the world.
Bottle-opener (Shanghai, China)

A building resembling a bottle-opener was constructed in China and got
an unofficial name 'a bottle-opener'. The World financial center of
Shanghai has settled inside it. Initially, the hole on top of the
building intended to lower air resistance was to be round, but Chinese
did not like the idea: they considered that it would resemble the rising
sun on the flag of Japan, which is why the hole shape was finally
changed to trapeze.
Flames (Baku, Azerbaijan)

A group of skyscrapers in Baku in a form of giant torches. This could
be a sail or a fin, but the towers are fully covered with LED-screens
which claim that the buildings symbolize fire. The complex consists of
three towers of various height and destinations: they house a hotel,
apartments and offices. The project obviously refers to the emblem of
Baku featuring flame shapes.
Deformed ring (Beijing, China)

It is not that easy to describe the shape of this high-rise building.
It is a deformed ring of five horizontal and vertical sections. A bigger
part of the ring is hanging over the ground. Certainly, there is little
of a round in such a ring and it has got a name 'boxers' among public.
The skyscraper is intended for the head office of China's Central
Television (CCTV), but it also houses a hotel, a theater and exhibition
areas.
Hashtag (Seoul, Korea)

In a strife to keep up with the times, a group of Dutch architects
projected a complex of towers which resemble the symbol #, also called
hashtag. The building houses apartments, though the tower was to become a
gate to the business district Jonsung, thus turning into its symbol.
Hieroglyph (Shanghai, China)

Symbols were used in China too: a hieroglyph, chosen for this
skyscraper, means 'people'. The building was constructed specially for
the World Fair in China held in 2010. It houses conference halls, sport,
aqua and cultural centers. The hotel begins where the two parts of the
building come together.
Rotating tower (Dubai, UAE)

A tower resembling a DNA-spiral is not an uncommon thing nowadays.
There are numerous projects of the kind - the Evolution tower in
Moscow-City, Turning Torso in Swedish Malma and Cayan Tower in Dubai.
But Arabs did an extraordinary thing again: they found that a static
tower would be not enough and decided to build a rotating skyscraper.
This is just a project but this project has potential investors. The
project is ecologically safe and this is what makes it different. It is
suggested to be a power plant with wind turbines. It will ensure power
to itself and buildings in neighborhood.
News.Az