Abstract Algebra

Abstract Algebra explores the structures and concepts that underlie algebraic systems, including groups, rings, and fields.

Practical Applications

Symmetry in Chemistry and Art

Spotting Patterns Everywhere

Symmetry isn't just for snowflakes—it's essential in chemistry and art, too! Group theory helps chemists understand molecules and artists create beautiful patterns.

Molecular Magic

Chemists use group theory to predict the shape and properties of molecules by analyzing their symmetries.

Creative Designs

Artists and architects use group theory to design tiling patterns, mosaics, and more.

Next time you look at a tiled floor or a crystal, you're seeing abstract algebra in action!

Examples

  • Chemists use group theory to classify crystals.

  • Islamic art features patterns based on mathematical groups.