The Shadows Lurking in the Equations – Underwater Islands
2 days ago
- Conventional (binary) graphing only shows where an equation is exactly equal, leaving the rest blank.
- FuzzyGraph visualizes equations in a non-binary mode, showing areas where the equation nearly equals (low error) and where it is far from equal (high error).
- This reveals previously invisible 'mathematical shadows' such as black hole regions (high error) and underwater islands (near-solutions).
- Examples include the Slash Dot equation, Quasar equation, Black Hole equation, Shadow Line, Phi equation, and Underwater Islands.
- Underwater islands represent near-solutions that become visible in conventional graphs when the equation is slightly tweaked.
- FuzzyGraph modifies the equation to |left - right|^(fuzzyLevel), while conventional graphing uses a boolean equality check; both involve modification of the original equation.