workflow/maze/

[giscus[bot]]

workflow/maze/

https://shanenull.com/workflow/maze/

[shane0]

jargon

• https://squidfunk.github.io/mkdocs-material/reference/tooltips/?h=glossary#adding-a-glossary

Maze Topology: A Glimpse into the Mathematical World of Mazes

Maze topology is a fascinating branch of mathematics that explores the underlying structure and properties of mazes. It's concerned with the connectivity of paths, the presence or absence of loops, and the overall complexity of the maze, rather than its specific geometric layout.

Key Concepts in Maze Topology:

1. Perfect Maze:

   • A maze without any loops or cycles.
   • It can be represented as a tree structure, where each path leads to a new junction or the exit.
   • Perfect mazes are relatively easy to solve using algorithms like depth-first search or breadth-first search.

2. Imperfect Maze:

   • A maze with loops or cycles.
   • It's more complex to solve as there are multiple paths that may lead to dead ends or back to previously visited locations.
   • Some imperfect mazes can be reduced to perfect mazes through a process called maze reduction.

3. Maze Solving Algorithms:

   • Depth-First Search (DFS): Explores as deep as possible along a branch before backtracking.
   • Breadth-First Search (BFS): Explores all neighboring nodes at the present depth prior to moving on to the next depth level.
   • A Search Algorithm:* Uses a heuristic function to guide the search towards the goal, making it more efficient.

Applications of Maze Topology:

• Robotics: Maze-solving algorithms are used to navigate robots in unknown environments.
• Computer Science: Maze generation and solving are common problems in algorithm design and data structures.
• Game Design: Maze-like levels are frequently used in video games to create challenging and engaging experiences.
• Artificial Intelligence: Maze-solving problems are used to test and develop AI algorithms.

Visualizing Maze Topology:

By visualizing the underlying graph structure of a maze, we can gain insights into its complexity and potential solutions. For example, a perfect maze can be represented as a tree, while an imperfect maze may have cycles and loops.

[Image of a perfect maze and its corresponding tree structure]
[Image of an imperfect maze with cycles and loops]

Further Exploration:

If you're interested in delving deeper into maze topology, consider exploring these topics:

• Maze Generation Algorithms: Understand how different algorithms can create mazes with varying levels of complexity.
• Maze Reduction Techniques: Learn how to simplify imperfect mazes to make them easier to solve.
• Topological Invariants: Explore mathematical properties that remain unchanged under continuous deformations.

By understanding the topological properties of mazes, we can better appreciate the challenges they present and develop effective strategies for solving them.

[shane0]

https://shanenull.com/stoicism/sid/

[shane0]

https://shanenull.com/workflow/computation/

[shane0]

https://shanenull.com/workflow/complexity/

[shane0]

radical candor

• https://youtu.be/O9hDTLo5rLA

[shane0]

pest

• political
• economical
• social
• technical

[shane0]

conways game of life

• https://github.com/mwharrisjr/Game-of-Life

• find some complex models make make some

• view might be a grid or other layouts

• knobs control the rules

- Underpopulation - If a live cell has is surrounded by less than two surrounding neighbours it dies and does not make it to the next generation.
- Equilibrium - If a live cell is surrounded by two or three living neighbors the cell stays alive and makes it to the next generation.
- Overpopulation - If a live cell is surrounded by more than three living neighbors the cell dies and does not make it to the next generation.
- Reproduction - If a dead cell is surrounded by three living neighbors the cell stays alive and makes it to the next generation.

[shane0]

shape of a maze model

• maze name and size
• maze has one entrance one exit
• maze has many possible solutions and many possible dead end branches
• pest each have mazes
• some are stable
• some are unstable and unpredictable have moving entrance exit and branches

[shane0]

first world problems

• I got a ps5 pro for fathers day and running into a maze of in app purchases conflicts and licensing bugs
• https://www.youtube.com/watch?v=IL79X6pCpXI

[shane0]

https://youtu.be/AGCAEwwmMxs?si=sxiiBRrk4eLdfWyG

The maze stream Sony iOi and other platforms is add ons are inside hidden paths and hidden mazes in mazes to scam people

There is hidden purchases path these are not visible in the app stores so you have no knowledge what is required or supported

There a lawsuit waiting to happen here