Geographically this is the most  western of all the stans, but culturally  it sure isn't. The turkmen  never formed a real nation and only settled  in recent history in cities  - if they did at all. Most of the cities in  Turkmenistan were founded  by non Turkmen, but by the Russians, Iranians  and even Alexander the  Great.

   If you are not an oil man, maybe the most important reason to visit   Turkmenistan would be not the sights, but the people and their age old   nomad tradition of hospitatility. They can be hard to reach with   stranger at first, but when they open up, anything goes.
    Ashgabat the capital city is probably your point of arrival. It is  filled with monuments in the honour of the president Turkmenbasi.  Mary  has the ruins of the old Persian town of Merv and is worth a visit as  well.