The text mentions a rope appearing as a snake and a whirling firebrand. What is the purpose of these examples?

These analogies, found in Chapter 50, are used to illustrate the deceptive nature of Maya, or worldly illusion. The example of a rope being mistaken for a snake or a shell appearing to hold silver demonstrates how Avidya (ignorance) causes our perception to misinterpret reality. Similarly, the whirling firebrand that creates the illusion of a solid 'circle of fire' shows how a real object can produce a non-existent phenomenon. The point of these examples is to explain that the world we experience is a similar kind of delusion—it appears solid and real, but it is a non-existent projection of Maya that vanishes upon gaining true knowledge.