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That fractal that's been up on my wall for years (chriskw.xyz)

571 points by chriskw · 435 days ago · 40 comments on HN

Article summary

The article discusses the author's discovery of a fractal pattern they created in middle school, which they dubbed the 'wallflower'. The author explores the mathematical properties of the fractal, including its connection to base 5 number systems and linear algebra. The article also delves into the differences between the author's original fractal and a similar, more well-known fractal. The author's investigation leads to a deeper understanding of the fractal's structure and properties.

Main themes

  • fractals
  • mathematics
  • linear algebra
  • number systems
  • visualization
  • curiosity
  • learning
  • problem-solving

What commenters say

  • The article's write-up is well-done and engaging, making complex math concepts accessible to a wider audience.
  • The fractal's properties can be applied to create interesting visualizations and patterns, such as tiling games and mosaic artwork.
  • The author's approach to exploring the fractal's properties is relatable and inspiring, highlighting the importance of curiosity and childlike wonder in learning.
  • Some readers found the math concepts and notation used in the article to be overwhelming or difficult to follow.
  • The article's discussion of the fractal's connection to linear algebra and number systems is insightful and valuable.
  • The fractal's similarities and differences to other known fractals, such as the quadratic von Koch island, are noteworthy and deserving of further exploration.
  • The article's themes and concepts can be applied to other areas, such as 3D data structures and recursive decimation.
  • The importance of perseverance and dedication in exploring complex mathematical concepts is emphasized in the article and comments.