**Initiating Design Thoughts**

I'm starting by establishing the foundation: an empty directory necessitates an `index.html` file. My goal is a visually appealing and highly functional single-page web app for maze generation (Recursive Backtracker) and pathfinding visualization (A\* and BFS). First, I will start with a title and controls area.


**Defining Feature Set**

I've determined key components: algorithm selection (A*, BFS, DFS), maze dimensions, and action buttons (Generate, Solve, etc.). I'll include a speed control slider and statistics display, like visited nodes and path length. The color-coded legend will be essential for clarity.


**Defining Algorithm Implementations**

I'm now focusing on the pathfinding algorithms and their visual representation. I will implement A* with Manhattan or Euclidean distance heuristics, plus BFS and DFS. The goal is animated visualizations: expanding visited nodes and highlighting the final path's backtracking for each algorithm. I'm prioritizing performance and clarity.


**Refining Core Implementation**

I'm now diving deep into the JavaScript logic. I'm solidifying the grid data structure using `rows`, `cols`, and `cells` to store the maze information. My maze generation will utilize the Recursive Backtracker with a stack. For pathfinding, I plan to use A* search with a min-heap, plus BFS and DFS, both using queues and stacks. I'll animate these visualizations with `requestAnimationFrame` and mouse/touch events for interaction. I need to make sure everything is rock solid.


**Elaborating Cell Structures**

I'm solidifying the structure of each cell. I've defined `walls` as a dictionary (`{ top: true, right: true, bottom: true, left: true }`), and `visited = false`. I’ve outlined Recursive Backtracker steps: selecting the starting cell, marking it as visited, and pushing it to a stack. Then I'm following it through a stack-based while loop. I'm focusing on the logic for choosing unvisited neighbors and removing the appropriate walls. I will animate the maze generation via a generator or timer.

**Visualizing Pathfinding Process**

I've defined pathfinding boundaries: start at `startCell` (configurable), and end at `endCell` (also configurable). When solving, the algorithm will traverse open passages where walls are not present. For A*, I'm using a priority queue for the open set. I've also detailed the `g`, `h`, and `f` values necessary for A* and want to ensure those are calculated correctly.