Overview of PhiMatrix™ concepts and applications

Phi: Noun, fI or fee - The 21st letter of the Greek alphabet used to represent the irrational number 1.6180339887..., or 1.618 for short.
Matrix: Noun, 'mA-triks - A surrounding substance within which something else originates, develops, or is contained.

Whether you look to quantum mechanics or to movies like "The Matrix," a deeper understanding of reality is unveiled once you understand the matrix upon which it is built. The matrix upon which the proportions of life and the universe is constructed is based on the number known as phi.

PhiMatrix is a graphic analysis and design tool that lets you see and apply phi proportions to any image.  It overlays any other program you have on your computer, from digital image editing software to your "My Pictures" folder, and then lets you save your analyzed image to disk.

It's unique features include:

• Variable proportioning of the grid in height and width that allows application of the copyrighted "Golden Ruler™" and "Golden Grid™" concepts to be applied to images and objects of any dimension.  Traditional golden section analysis has used a rectangle with height and width fixed in proportion to phi, or 1.618.
• A grid mirroring feature that allows the grid lines to be independently mirrored vertically on the left and right sides of the grid, and horizontally on the top and bottom halves of the grid.  The grid proportions can also be locked into a user sizable golden section in portrait or landscape orientation.
• User selection of the number of grid lines to be shown, with independent selection options for the horizontal and vertical axes.
• User selectable border width outside the grid, especially useful when creating and/or cropping images to be saved to disk.

It can be used for any design application your mind can conceive, whether laying out a canvas for painting, cropping a photo, creating marketing materials or designing everything from clothes to cars to furniture to buildings.

While the Golden Section has been used for centuries, the concept for PhiMatrix is based on an original insight of its developer in 1997 that the Golden Section could be applied in repetition to a line to create a "Golden Ruler™."  Each section of the ruler is in phi proportion to the section from which it came:

This Golden Ruler was then applied in two dimensions to create a "Golden Grid™."

The Golden Section analysis is traditionally used with a fixed phi proportion of 1.618 in the height and width.  The "Golden Grid" concept applied in the PhiMatrix software allows proportions to be variable in height and width, yet still shows the "golden ruler" sections on both the horizontal and vertical axes.

Application of these concepts to images of a variety of life forms revealed that their physical dimensions were all based upon the same proportions of design using the number phi.  Examples are shown below.

These same proportions have been used by mankind to achieve some of its greatest works of art and architecture.

 It's now being used in design for a variety of applications:

• Automotive design
• Architecture
• Logos and trademarks
• Cosmetic and corrective dentistry
• Reconstructive and corrective facial surgery
• Clothing design
• Hair styling
• Design, layout and composition of marketing and advertising materials
• Photo editing and composition
• Stock market analysis

The Golden Ruler and Golden Grid were first presented in 1997 from http://goldennumber.net (and its predecessor site) in the form of a template that could be printed to a transparency and used as an overlay to documents.  PhiMatrix expands this concept and capability to digital images.