The Curious Engineer

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Photon-Lines Substack

photonlines.substack.com

Complex things explained simply. We explore topics using a visual and intuitive methodology. Click to read Photon-Lines Substack, by Nick M, a Substack publication with thousands of subscribers.

MathAlgorithms / data structuresScienceAI / ML

Posts
38 from 7 Jun 2023 to 1 Oct 2026
Posting
monthly (6 in the last year)
Kind
personal blog
Feed
https://photonlines.substack.com/feed

2026 3

  1. A Visual Intro to Complex Numbers
  2. End of Paid Subscriptions
  3. 15 Things I Know

2025 9

  1. Principles of Economics Made Clear (Part 3)
  2. Principles of Economics Made Clear (Part 2)
  3. The Rise of The Machines
  4. Principles of Economics Made Clear (Part 1)
  5. An Intuitive Guide to Interface Design
  6. Photon-Lines Tech Notes - July 2025
  7. An Intuitive Guide to Black Holes
  8. A Walk Through Combinatorics
  9. Visual-Focused Algorithms Cheat Sheet

2024 9

  1. A Walk-Through of String Search Algorithms
  2. Algorithms for Optimization (Explained Simply): Part 2 - Line Search and the Trust Region Method
  3. Visual Data Structures Cheat-Sheet
  4. Algorithms for Optimization (Explained Simply): Part 1
  5. Michel Talagrand: Advice to Young Mathematicians
  6. An Intuitive Guide to Maxwell’s Equations
  7. Intuitive and Visual Guide to Transformers and ChatGPT
  8. Sam Altman's Startup Advice (Part 2)
  9. Sam Altman's Startup Advice (Part 1)

2023 17

  1. Intuitive Guide to Quick Sort
  2. Intuitive Guide to Merge Sort
  3. Understanding Optimization Algorithms: Newton's Method
  4. Grokking Huffman Coding
  5. Visual Introduction to Harmonic Analysis
  6. Visualizing The Derivative
  7. A Visual Introduction to Binary Search
  8. Lessons from June Huh: From High-School Dropout to Fields Medal Winner
  9. A Visual Introduction to Neural Networks
  10. A Brief Visual Introduction to Gradients and Gradient Descent
  11. On Life and Death
  12. Understanding The Monte Carlo Method
  13. Grokking Hash Array Mapped Tries (HAMTs)
  14. Introduction to Hash Tables
  15. LLMs as Social Companions
  16. Grokking AVL and RAVL Trees
  17. Introduction to the Photon Lines Blog