样子 (yàngzi) is the everyday, general word for 'appearance, look, style' — it can describe people, objects, or patterns. Compared to 模样 (múyàng), which focuses on a person's facial features or an approximate number, 样子 is broader and more common in speech. 样式 (yàngshì) is more specific to design or pattern, like a 'style' of clothing or furniture.