The Shabolovka radio tower in Moscow, also known as the Shukhov tower, is a famous example of the Russian avant-garde style of the early 20th century. With a height of approximately 160 m, it is the highest hyperboloid lattice steel tower ever built by Shukhov and is one of the symbols of Moscow. It is widely recognized as an artifact of modern cultural heritage. Despite being an iconic object of engineering and architectural heritage, it was deprived of technical maintenance for many years. Its technical condition has degraded since the early 1990s and has now reached an alarming level. Several restoration projects are still being discussed by the Russian government, including the full rebuilding of the tower in another place. Therefore, digital preservation of the tower’s original geometry and design has become a crucial task. Its under-documentation is also a concern: the initial project and engineering documentation isalmost completely lost.