Geometric shapes are found all around us in nature and have inspired artists and architects. Common shapes seen in nature and used in architecture include triangles, squares, pentagons, spirals, radial symmetry, and near-perfect symmetry between sides. Examples provided in the document include the honeycomb, the Pentagon building, the Taj Mahal, orange segments, a teapot, and the Sydney Opera House which was designed to resemble orange segments. Nature, math, and recycled materials can provide inspiration for unique architectural designs.