FuzzyGraph: Visualizing Mathematical Equations Beyond Binary Mode to Reveal Hidden Patterns
By
calebm
Crisp on the outside, thoughtful on the inside. A keeper.
Summary
The article introduces FuzzyGraph, a novel approach to visualizing mathematical equations that goes beyond traditional binary graphing. Instead of only showing where equations are exactly equal (traditional graphing), FuzzyGraph visualizes equations in a fuzzy/non-binary mode, displaying not just exact equality but also where equations are nearly equal and where the error is high. This reveals the 'shadows' or subtle patterns in mathematical relationships that conventional graphing methods miss.
Key quotes
· 3 pulledIf you've ever graphed equations, chances are you have only ever graphed equations in what I refer to as 'Binary mode' - which draws a line where the equation is EXACTLY equal, and leaves white everywhere else.
FuzzyGraph, on the other hand, visualizes equations in a Fuzzy/Non-Binary mode - showing not only where an equation are exactly equal, but also where the equation nearly equal and where the equation is far from equal (where the error is high).
And when we visualize equations in this fuzzy mode, we can see the 'shadows' lurking in the equations - the subtle patterns and relationships that traditional graphing methods miss.
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