how do you relate-mad, mental, and mandel-

This is a fun word puzzle! Here's how I relate "mad," "mental," and "mandel":
* **Mad** and **Mental** are directly related through **synonymy**. In certain contexts, particularly when describing someone's state of mind, "mad" can be used as a synonym for "mentally unwell" or "insane."
* **Mental** and **Mandel** are related through **wordplay** and **association**. "Mandel" most likely refers to Benoit Mandelbrot, a famous mathematician. He is primarily known as the "father of fractals" and his main contribution was the Mandelbrot set.
* A fractal set is a visual representation of an abstract mental concept or formula, which means that Mandel and "mental" are further linked in the way that one can use Mandelbrot's discovery as a mental image.
* If one is to get very confused about fractals, then one could also be described as going mad.

Therefore, the chain of association is: **Mad** relates to **Mental** through synonymy, and **Mental** is related to **Mandel** through the context of mathematical concepts, visual representation, and mental imagery.