Final answer:
Calligraphy, geometric patterns, and miniature paintings are prominent art forms in Islamic history.
Step-by-step explanation:
The different art forms used to express ideas throughout Islamic history include calligraphy, geometric patterns, and miniature paintings. Calligraphy, which is the art of beautiful writing, is highly valued in Islamic culture and is often used to display Quranic verses. Geometric patterns are another prominent art form, found in architecture, textiles, and ceramics. Miniature paintings, which are highly detailed and intricate, often depict scenes from the Qur'an or everyday life.