Art and Design
The beauty and complexity of hyperbolic geometry inspire creativity in the design and art industries.
- Creating Impossible Shapes: Hyperbolic geometry allows artists to explore forms and shapes that challenge our usual Euclidean perception. One prominent example is Escher’s tessellations which feature intertwined animals that seem to defy perspective. Contemporary artists continue to incorporate hyperbolic elements into their installations, sculptures and digital art, pushing artistic boundaries.
- Exploring New Aesthetics: Hyperbolic geometry’s curved surfaces and infinite lines provide a unique visual style that is both thought-provoking and fascinating. Designers are finding ways to incorporate hyperbolic elements into logos, commercial designs and fashion to move away from traditional Euclidean aesthetics and add dynamism.
Real Life Applications of Hyperbolic Geometry
Euclidean geometry is known for its perfect circles and lines that never cross and it has long been the foundation of our understanding of space. Hyperbolic geometry is a seemingly abstract branch of mathematics that becomes valuable for understanding complexities beyond Euclidean geometry in the real world.
In hyperbolic geometry, circles can include countless points and parallel lines can spread apart endlessly. Although hyperbolic geometry might seem unrelated to daily life, it has surprising applications in various fields such as theoretical physics and Google Maps.