What is the relationship between Hicksian demand and Giffen goods in economics?

In economics, Hicksian demand refers to the quantity of a good or service that a consumer is willing to buy at a given price, assuming their income and preferences remain constant. Giffen goods are a rare type of good where the demand increases as the price rises, contradicting the law of demand. The relationship between Hicksian demand and Giffen goods is that Hicksian demand does not apply to Giffen goods because their demand does not follow the typical downward-sloping demand curve.