The problem you have uploaded involves using recursion to create fractal-filled shapes. Let's break down the task based on both the Basic Challenge and the Intermediate Challenge.

Basic Challenge:

You are tasked with generating a fractal-filled unit square (side length = 1 unit) using recursion. The goal is to draw a recursive pattern that reduces in size as it spirals inward, similar to the example image. Here are the key points to achieve this:

• Use recursion to repeatedly subdivide the square and draw smaller lines as you proceed inward.
• Stop the recursion based on a condition, such as the length of the line falling below a certain threshold (not a pre-defined recursion depth).

Pseudo-algorithm for Basic Challenge:

1. Start with a square with side length 1 unit.
2. Recursively reduce the size of the square (or each step of the fractal), and draw lines between corners.
3. Rotate slightly or change the angle of drawing to form the spiral shape as shown.
4. The recursion stops when the length of a side becomes too small (for example, less than a certain epsilon value).

Intermediate Challenge:

The task here is to generalize the recursive fractal code so that it works with any $n$-sided polygon (not just squares). The fractal-filled polygons can have any number of sides $n$, and you'll be provided with a helper function nsidedpoly to handle the geometry for an $n$-sided polygon.

Key points for this challenge:

• Modify your recursive fractal algorithm to take in a variable $n$ that represents the number of sides.
• Ensure the recursion works for any polygon, not just squares. The sides should shrink in a similar manner, spiraling inward.

Steps:

1. Use the nsidedpoly function to create a polygon with $n$ sides.
2. Recursively draw the fractal pattern, reducing the size of the polygon on each step.
3. Stop when the polygon sides reach a minimal length.
4. Ensure that your code works for both polygons with many sides (e.g., $n = 100$) and fewer sides (e.g., $n = 3$ for a triangle).

Would you like a detailed explanation on how to write this recursive code or any questions regarding fractal theory?

Here are 5 relevant questions that could expand on this topic:

1. How does recursion work mathematically in creating fractals, and what is the stopping condition?
2. How does the number of sides in a polygon affect the fractal pattern generated?
3. What are other common stopping criteria besides minimum line length in recursive algorithms?
4. How can the angle or rotation in the recursive drawing affect the fractal’s shape and appearance?
5. Could the same recursive principle be applied to 3D fractals, and if so, how?

Tip: Always carefully define your base case in recursive functions to avoid infinite recursion and make your stopping condition clear.