Triangles & Everything Else — Physics & Shit

Course: Triangles & Everything Else — Physics & Shit
Start Date: 01 April 2026
Total Lectures: 54
Total Hours: ~76
Last Updated: 29 December 2025

Part I: The Triangle as Foundation

#	Lecture	Hours
1	What is a Triangle?	1.5
2	The Isoceles Triangle as Nature’s Favorite	1.0
3	Ratios: How Triangles Encode Relationships	1.5
4	The Pythagorean Theorem as Conservation Law	1.5
5	The 45-45-90: Our Master Triangle	1.0
6	Scaling and Self-Similarity	1.0

Part I Total: 6 lectures, 7.5 hours

Part II: Trigonometry as Triangle Language

#	Lecture	Hours
7	Naming the Ratios: Sin, Cos, Tan	1.5
8	The Unit Circle: Infinite Triangles	1.5
9	Periodicity and Waves	1.0

Part II Total: 3 lectures, 4.0 hours

Part III: Probability and Information

#	Lecture	Hours
10	Probability from Triangles	1.5
11	The Binary Tree as Nested Triangles	1.5
12	Claude Shannon: Information as Surprise	1.5
13	Distributions: Where Probability Lives	1.5
14	Conditional Probability and Bayes	1.5

Part III Total: 5 lectures, 7.5 hours

Part IV: The Complex Plane

#	Lecture	Hours
15	What is √(-1)?	1.5
16	Complex Numbers as Triangles	1.0
17	Multiplication as Rotation + Scaling	1.5
18	Euler’s Identity: The Triangle Equation	1.5

Part IV Total: 4 lectures, 5.5 hours

Part V: Calculus Through Triangles

#	Lecture	Hours
19	Slope as Triangle	1.0
20	Derivatives of Sin and Cos	1.5
21	Area as Sum of Triangles	1.5
22	The Fundamental Theorem	1.0

Part V Total: 4 lectures, 5.0 hours

Part VI: Vectors and Linear Algebra

#	Lecture	Hours
23	Vectors: Arrows from Triangles	1.0
24	Dot Product as Projection	1.5
25	Matrices: What They Do to Triangles	1.5
26	Eigenvalues: Triangles That Don’t Rotate	1.5
27	Inner Products in Abstract Spaces	1.0

Part VI Total: 5 lectures, 6.5 hours

Part VII: Classical Mechanics — The Action Triangle

#	Lecture	Hours
28	Newton: Forces as Vectors	1.5
29	Energy: A Better Bookkeeping	1.5
30	Lagrange: The Action Principle	1.5
31	Hamilton: Phase Space	1.5
32	Poisson Brackets: The Classical Commutator	1.5
33	Action as Geometry	1.5

Part VII Total: 6 lectures, 9.0 hours

Part VIII: Statistical Mechanics — Triangles in Crowds

#	Lecture	Hours
34	From One to Many: Ensembles	1.5
35	Boltzmann: Probability from Energy	1.5
36	Entropy: Counting Triangles	1.5
37	The Bridge to Quantum Statistics	1.0

Part VIII Total: 4 lectures, 5.5 hours

Part IX: Symmetry and Groups

#	Lecture	Hours
38	Symmetry Operations	1.5
39	Groups: The Algebra of Symmetry	1.5
40	Noether’s Theorem: Symmetry = Conservation	1.5

Part IX Total: 3 lectures, 4.5 hours

Part X: Quantum Mechanics

#	Lecture	Hours
41	State Vectors and Superposition	1.5
42	Measurement as Projection	1.5
43	Operators and Observables	1.5
44	The Hamiltonian: Energy as Operator	1.5
45	Schrödinger’s Equation	1.5
46	The Uncertainty Principle	1.5

Part X Total: 6 lectures, 9.0 hours

Part XI: Quantum Action and Path Integrals

#	Lecture	Hours
47	Feynman’s Sum Over Histories	1.5
48	The Path Integral	1.5

Part XI Total: 2 lectures, 3.0 hours

Part XII: Applications

#	Lecture	Hours
49	The Hydrogen Atom from Triangles	1.5
50	Building Molecules and Stars	1.5

Part XII Total: 2 lectures, 3.0 hours

Part XIII: Frontiers — Where Triangles Meet Reality

#	Lecture	Hours
51	Quantum Information and the Qubit	1.5
52	Quantum Gravity: Spacetime from Triangles	1.5
53	Epistemology in Hilbert Space: Belief, Truth, and Lies	2.0
54	Time, Nothingness, and Wheeler’s Final Triangle	1.5

Part XIII Total: 4 lectures, 6.5 hours

Summary

Part	Title	Lectures	Hours
I	The Triangle as Foundation	6	7.5
II	Trigonometry as Triangle Language	3	4.0
III	Probability and Information	5	7.5
IV	The Complex Plane	4	5.5
V	Calculus Through Triangles	4	5.0
VI	Vectors and Linear Algebra	5	6.5
VII	Classical Mechanics	6	9.0
VIII	Statistical Mechanics	4	5.5
IX	Symmetry and Groups	3	4.5
X	Quantum Mechanics	6	9.0
XI	Quantum Action	2	3.0
XII	Applications	2	3.0
XIII	Frontiers	4	6.5
Total		54	~76

Prerequisites

None. This course starts from zero.

Required Materials

Notebook (physical, for hand-drawing triangles)
Python environment (numpy, scipy, matplotlib, sympy)
Jupyter notebooks (provided)

Grading

Just study this shit at your own pace. If you need help, then ask for help. He who needs help and is silent is either dead or a dumbass.

The Triangle Principle

The triangle is the minimal structure that encodes relationship. Two points define a line. Three points define a plane, with distances, angles, orientation, and area. This is enough to build probability, information, complex numbers, vectors, action, quantum states, spacetime, and epistemology.