Sure, here's an ideal itinerary for 3 days in Madurai:

Day 1:

• Start your day by visiting the famous Meenakshi Amman Temple, one of the most iconic landmarks of Madurai. Spend some time exploring the temple complex and admiring its intricate architecture.
• After that, head to the Gandhi Memorial Museum, which is dedicated to the life and legacy of Mahatma Gandhi. The museum houses a collection of photographs, letters, and other memorabilia related to Gandhi's life.
• In the evening, take a stroll around the bustling streets of Madurai and explore the local markets. You can also try some delicious street food like Jigarthanda, Paruthi Paal, and Kari Dosai.

Day 2:

• Start your day by visiting the Thirumalai Nayakkar Palace, a 17th-century palace built by King Thirumalai Nayak. The palace is known for its impressive architecture and beautiful gardens.
• Next, head to the Vandiyur Mariamman Teppakulam, a large temple tank surrounded by lush greenery. You can take a boat ride on the tank and enjoy the serene surroundings.
• In the evening, visit the Alagar Kovil, a temple dedicated to Lord Vishnu. The temple is located on a hill and offers stunning views of the surrounding landscape.

Day 3:

• Start your day by visiting the Koodal Azhagar Temple, a temple dedicated to Lord Vishnu. The temple is known for its beautiful architecture and intricate carvings.
• Next, head to the Pazhamudircholai Murugan Temple, a temple dedicated to Lord Murugan. The temple is located on a hill and offers breathtaking views of the surrounding hills and valleys.
• In the evening, visit the Samanar Hills, a group of hills known for their Jain caves and rock-cut sculptures. You can take a short trek to the top of the hills and enjoy the panoramic views of Madurai.

These are just some of the many things you can do in Madurai. Make sure to try the local cuisine, which is known for its unique flavors and spices. Have a great trip!