Hyperbolic Geometry

Journey into negatively curved spaces where parallel lines diverge and triangle angles sum to less than 180 degrees through visual models and interactive examples.

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Hyperbolic Space Explorer

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Active Concept

Diverging Parallel Lines [Sum of angles: 67°]

Hyperbolic Modules

POINCARE DISC

Explore the Poincaré disk model where the boundary at infinity contains all parallel lines. Visualize how geodesics appear curved in this model.

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HUMANITIES CONNECTION

Discover how hyperbolic geometry models the structure of networks, including the internet and social media connections through the Lobachevsky model.

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GEODESIC MODELS

Manipulate hyperbolic tessellations and visualize how regular figures repeat infinitely in negatively curved space through interactive tilings.

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