Your Food

• The unfolding of a fern can reveal many distinct patterns.Stockbyte/Stockbyte/Getty Images
  
  Aristotle said, "Nature does nothing in vain." Combine that tenet with studies of Pythagoras' theorem, the Fibonacci numbers and sequence, Archimedes, Pi, the square root of 3 and the golden ratio, to cite but a few examples, and you'll begin to see geometry everywhere -- even in your food. Cut open an orange or grapefruit and look at the sections. Slice across the bottom part of a clump of celery and notice the whorl. Look closely at cauliflower, the leaves of lettuce and the star-shape design of apple seeds.
  
  

Creatures

• The spiral pattern of a nautilus reflects an amazing numerical pattern.Jupiterimages/Photos.com/Getty Images
  
  Look at a butterfly. Its wings are a perfect example of bilateral symmetry -- they mirror each other. This is clearly geometry, and you can measure how it works through drawings. Look at the honeycomb of bees, the spirals on snails in a garden or seashells by the shore. Each graduation and extension has measurable sequences of growth pertinent to various mathematical formulas. The chambered nautilus is a classic display of the Fibonacci numbers, for example. Look at various insects and birds, and the geometric designs on certain fish and mammals as well.
  
  

Trees and Plants

• As trees branch outward, they reveal countless geometrical connections.Hemera Technologies/AbleStock.com/Getty Images
  
  Notice the treetops in your backyard or at a public park. Go on a walk or hike in the wilderness, and you'll begin to see the branching patterns on bushes, trees and shrubs. The geometry of trees and the relationship visible in each offshoot branch is easy to spot -- you don't need a microscope. The naked eye can perceive many angles, as well as the structures of spiraling on pine cones and buds. Examine both deciduous and evergreen plants; look at leaf veins and shapes, seeds and nuts. Compare a maple leaf's design to that of the oak, gingko and elm.
  
  

Flowers

• The rose contains geometrical messages within its petals.Hemera Technologies/AbleStock.com/Getty Images
  
  Daisies, sunflowers, passion flowers and many round-centered flowers reveal a perfect geometrical design. Look closely at the circular centers, the rings and layers of outer petals. The rose is an amazing geometrical example when you take into account several mathematical factors. Spend time with a bed of pansies, irises, tulips or dahlias. Look at them overall, then go in closely to see the tiny geometrical beauty within each of them. Then find some orchids. You'll very likely never look at flowers in the same way again.