Divine patterns in nature – I took this shot while walking in the neighborhood yesterday. Mother Nature is a Master of Design.
The intricate spiral patterns displayed in cacti and other plants often encode the famous Fibonacci sequence of numbers: 1, 1, 2, 3, 5, 8, … , in which each element is the sum of the two preceding numbers.
The round head of a cactus is covered with small bumps, each containing one pointy spike, or “sticker.” For some cacti, you can start at the center and “connect the dots” from each sticker to the nearest neighbor to create a spiral pattern containing 3, 5, or 8 branches. These are three consecutive numbers from the Fibonacci sequence. Other cacti, sunflowers, and pinecones display this or other triples of Fibonacci numbers.
Photo of Spunk, “the great bed usurper”, strikes again. It is so easy to lose my place in the bed to Spunk, especially when the temperatures are cooler. He is a heat-seeking missile moving to a warm spot in the blink of an eye.
Early spring like weather and the air is buzzing with the sounds of hummingbirds zinging here and there.
Photo Credit: Beth Alexander, All Rights Reserved.
Taken in Big Basin State Park. The Redwood (Sequoia sempervirens) is a long-living tree species that can reach up to 2200 years old. They are hardy, resilient trees that can sprout from seed, tree stumps and roots. It is not uncommon for trees to reach heights of 200-300 ft.
Spunk, keeping warm in the chilly winter weather.
Vineyard in the Mist January 2016, St. Helena, California
A Break Between Storms, Boulder Creek, California