Process journal of learning by Attila Vajda

Visual Algebra - From Dot to Cosmos

#mvp

I wonder how to make my own textbooks.

I like textbooks with lots of images ❤️, and I often think when glancing at textbooks pages:
  "Where are the images?"

    and I just thought:

      "Oh I can make my own textbooks with lots of images now!

            (maybe start with making ¼ page)

…Maybe 🖊 with TikZ, Python, and Lean4 and computer agent helps:

🤖🌿 :

\documentclass{standalone}
\usepackage{tikz}
\begin{document}
\begin{tikzpicture}
\fill (0,0) circle (2pt); % ← dot 🟢
\end{tikzpicture}
\end{document}

big dot/filled circle, looks like maybe a star or sun

structure:
  Lean4 × Python × TikZ × words × symbol
    proof × exercise
      analogy × big_idea × nice
        art🎨



🤖🌿 :
🟢 Lean4:
  structure Point := (x y : ℝ)
🐍 Python:
  plt.scatter(...)
📐 TikZ:
  \fill (0,0) circle (2pt);
📝 Word:
  tiny points connect → triangle
🔣 Symbol:
  △PQR
📜 Proof/exercise:
  ,define line, plot, check closure
  Pr × Ex
🌌 Analogy:
  stars refusing to align
💡 Big idea:
  abstract → visual → code
🎨 Art:
  3 dots = minimalist cosmos✨




--starting with the single dot idea, how to send it to Lean4, and Python? pls respond in ≤ 300 characters 🐙


🤖🌿 :
🟢 TikZ dot:
  (0,0)
➡ Lean4:
  def P : Point := ⟨0,0⟩
➡ Python:
  P = (0,0); plt.scatter(*P)
💡 Idea: one abstract point = object in Lean4, tuple in Python, node in TikZ 🖇
🌌 Analogy: a seed dot grows into a triangle of logic & visuals✨