Russian Tsar Ivan IV the Terrible ordered to destroy Saint Basil's Cathedral in the 16th century.

Summary: The text states that Saint Basil's Cathedral was built by order of Tsar Ivan IV the Terrible and in his honor. It does not mention any order to destroy it.

Detailed analysis: The text explicitly says, "Saint Basil's Cathedral was being built from 1555 to 1561 by order of Tsar Ivan IV the Terrible. It was built in honour of the great victory of Ivan the Terrible over the Kazan Khanate." There is no mention of Ivan the Terrible ordering its destruction.

Conclusion: This statement is FALSE based on the provided text.