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tricameralism

n. the practice of having three legislative or parliamentary chambers

Wikipedia
Tricameralism

Tricameralism is the practice of having three legislative or parliamentary chambers. It is contrasted to unicameralism and bicameralism, both of which are far more common.

The term was used in South Africa to describe the Parliament established under the apartheid regime's new South African Constitution of 1983. Other instances of tricameral legislatures in history include Simón Bolívar's model state. The word could also describe the French Estates-General, which had three 'estates'.