Nautilus shell spirals may have phi proportions, but not as you may have heard. The Nautilus shell if often associated with the golden ratio. There is a fair amount of confusion, misinformation and controversy though over whether the graceful spiral curve of the nautilus shell is based on this golden proportion. Some say yes, but offer no proof at all. Some show examples of … [Read more...]

Phi, aka the Golden Ratio, and the Fibonacci sequence appear in the patterns and proportions of physical design in many living creatures. The most notable appearance is in the human form. Key features of the human face can embody many golden ratios, leading to our perceptions of beauty. Phi also appears in the body temperatures, and even in the dimensions of our DNA.

## The Human Body and the Golden Ratio

The human body is based on Phi and 5. The human body illustrates the Golden Section or Divine Proportion. We'll use the golden ratio building blocks developed on the Life page again for each line segment: The Divine Proportion in the Body The white line is the body's height. The blue line, a golden section of the white line, defines the distance from the head to … [Read more...]

## The Design of Life and the Golden Ratio

"All life is biology. All biology is physiology. All physiology is chemistry. All chemistry is physics. All physics is math." Dr. Stephen Marquardt. The design of life is based on a "Golden Ruler™, a ruler composed of golden ratios within golden ratios. It has long been known that the Golden Section, (also Golden Ratio or Divine Proportion), appears in certain … [Read more...]

## Population Growth and the Fibonacci Sequence

The Fibonacci sequence was discovered by studying population growth. Population growth is also related to the Fibonacci series. In 1202, Leonardo Fibonacci investigated the question of how fast rabbits could breed under ideal circumstances. Here is the question that he posed: Suppose a newborn pair of rabbits, one male and one female, is put in the wild. The rabbits mate … [Read more...]

## Facial Proportions and Human Health

Facial structure predicts overall health problems. Ideal facial proportions are universal regardless of race, sex and age, and are based on the phi ratio of 1.618. For example, if the width of the face from cheek to cheek is 10 inches, then the length of the face from the top of the head to the bottom of the chin should be 16.18 inches to be in ideal proportion. Deviations … [Read more...]

## Human Hand and Foot

The hand shows Phi and the Fibonacci Series. There are many examples of the Divine Proportion found throughout the design of the universe and everything in it, but let's take a look at one of the most important things first: You! We'll need a few Golden Section / Fibonacci building blocks: Each line is 1.618... times longer than the one before it. (Conversely, a section … [Read more...]

## DNA spiral as a Golden Section

The DNA molecule, the program for all life, is based on the golden section. It measures 34 angstroms long by 21 angstroms wide for each full cycle of its double helix spiral. 34 and 21, of course, are numbers in the Fibonacci series and their ratio, 1.6190476 closely approximates phi, 1.6180339. B-DNA has spirals in phi proportions DNA in the cell appears as a … [Read more...]

## Fibonacci Numbers and Spirals in Plants

Plants illustrate the Fibonacci series in the numbers and arrangements of petals, leaves, sections and seeds. Fibonacci numbers in plant spirals Plants that are formed in spirals, such as pinecones, pineapples and sunflowers, illustrate Fibonacci numbers. Many plants produce new branches in quantities that are based on Fibonacci numbers. Fibonacci numbers in plant … [Read more...]

## The Golden Section in Nature: Animals

There are many examples of the Golden Section or Divine Proportion in nature. Below are just a few: The eye, fins and tail all fall at golden sections of the length of a dolphin's body. The dimensions of the dorsal fin are golden sections (yellow and green). The thickness of the dolphin's tail section corresponds to same golden section of the line from head to tail. The … [Read more...]

## Golden Ratios in Body Temperatures

Body temperatures and sterilization points fall near the phi points between freezing and boiling. Body temperatures vary, even within humans. The body temperatures of mammals range from around 97° to over 103° Fahrenheit. Birds have average temperatures of around 105° Fahrenheit. The phi point between the freezing temperature (32° F) and the boiling temperature (212° F) … [Read more...]