Hi Peacefrog,
yes, you are right, Eiffel tower is symbol of Paris, and if I visit the city I visit Eiffel tower. Propably lake Baikal is symbol of clear Siberia. You know for Russians the most part of foreign guests go to Moscow, St. Petersburg, and Lake Baikal. Russia is very big and it's strange to understand that just three things in Russia are interested for foreign guests.

Oh! There is the forth very popular place - Trans-Siberian Railway.

Yes, Lake Baikal is very nice place. I think you time there will be well. Local people are very hospitable. But if they invite you to have a dinner be ready to drink vodka. And if you come and say "no, I won't drink" they will not understand you.
