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The Monkey Series: Learning to See Beyond the Subject
6+ day, 10+ hour ago (21+ words) Explore the Monkey Series through wildlife photography, observation, composition, and the art of seeing beyond the subject to find meaningful photographs....
The Golden Hour Geometry
6+ day, 16+ hour ago (498+ words) The window frame within the frame When the sun is low on the horizon and its rays break through gaps in the clouds like this, it often creates distinct, visible beams of …...
THE TRAPEZOIDAL-PARALLELEPIPEDAL TRIANGLE
1+ week, 3+ day ago (28+ words) It had always been just a Triangle — a rigid, flat, two-dimensional shape on a graphic processor screen in an Austin laboratory. Three angles, three edges …...
You Know the Pythagorean Theorem, But Do You Really Understand It?
1+ week, 5+ day ago (1544+ words) Exploring the Pythagorean Theorem Note: Please switch to dark mode for a more immersive experience. 1.1 Introduction As arguably the most famous single theorem in mathematics due to its simplicity …...
Here’s How Albert Einstein Proved Pythagoras Theorem When He Was 11
1+ week, 6+ day ago (31+ words) When looking through the book Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise by Manfred R. Schroeder, I came …...
What happens when your world is measured by four legs?
2+ week, 3+ day ago (35+ words) You bring a four-legged animal into your life and everything begins to look different now. You take them on walks even when you’re tired and …...
The Geometry of the Mind
2+ week, 4+ day ago (239+ words) What chaos theory, fractals, and Carl Jung reveal about the hidden patterns of human behavior. You know those weeks where you’ve done everything right: slept seven hours …...
The Circumference of an Ellipse
2+ week, 4+ day ago (36+ words) If you remember basic school geometry, you probably know that the circumference of a circle is given by C = 2πr. The area of an ellipse is also easy to calculate: A = …...
The Elixir of Coordinates: How a Jungle Riddle Unlocks the Geometry of the Universe
2+ week, 6+ day ago (178+ words) The Elixir of Coordinates: Mapping Discrete State Spaces via Geometrical Hyperplanes Here is an interesting story. Aman and Vinayak are travelling through a forest. (Why? That’s their secret!) As …...
Equal Measure Is Not Identity When Orientation Crosses Center
3+ week, 1+ day ago (1695+ words) This lesson was inspired by George Dimitriadis’s classroom puzzle, “Jimmy Watches Mathematics Prove That 1 = −1.” George presents an intentionally convincing-looking derivation and asks the reader, alongside Jimmy and his classmates, to locate the point where valid-looking mathematics becomes invalid. His lesson…...