Unveil the beauty, harmony and balance of nature's proportions.

Apply it to your own analyses, designs and artistic creations.

Graphic analysis and design software based on Phi 1.618, the golden section

PhiMatrix: Graphic analysis and design software based on phi

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PhiMatrix User Guide

The PhiMatrix transparent grid overlays any other program, allowing you to unveil and apply phi, 1.618, the golden ratio in any type of design or analysis work.  In addition to phi proportions, the program allows you create grids using just about any geometric or arithmetic proportion between grid lines, with a variety of options in the grid itself and the grid lines.  The function and options of each of the controls is displayed below.

Tips and Tricks

  • Keep it Simple - PhiMatrix offers lots of options but to keep it simple just keep the Line Ratio (in Expert Mode) set to Phi and the Aspect (in Advanced Mode) on Variable with 2 or 3 Horizontal and Vertical Grid lines and you'll find all kinds of ways that you can unveil or apply the Golden Ratio.

  • Positioning the Grid - Position the grid to the top left position by clicking and dragging the watermark area just below the top border or an interior grid line.  (See image at right.)

  • Border Options - You can eliminate the watermark area of the borders by setting the Border Type to Line Only or No Border.

  • Adjust the Grid Size - Adjust the grid size by clicking and dragging on the watermark area of the bottom or right borders.

  • Lock the Grid - Lock and deactivate the grid so that you can use your underlying software with no impact of your mouse on the grid by selecting the File-Lock and Deactivate Grid option.  Reactivate the grid by selecting File-Unlock and Activate Grid.  All grid functions except mouse controls are still active in this mode.

  • Click and Drag on the Grid Itself - You can still drag and resize the grid by clicking on the grid itself but you may want to make the Grid Line Width greater than one so that you don't have to be quite so precise with the mouse in grabbing the outside border to resize or the inside lines to reposition the grid.

  • Use the Cursor Arrow Keys - Click on the Keys tab of the Control Window and then use keyboard cursor arrow keys to position the grid (shift-arrow), make the grid larger (Ctrl-arrow) or make the grid smaller (Alt-arrow).  The four cursor arrows correspond to the top, bottom, left and right borders of the grid.

  • Minimize / Maximize the Grid - Open or maximize another program to hide the Control Window behind it while leaving the grid on top.  Minimize the Control Window to minimize both the Control Window and the grid.

  • Save Your Favorite Settings - Select File - Save settings as default to save the current grid settings as your default settings for PhiMatrix when you launch it or click the reset button.

  • Eliminate the Border - Set the Border Size to zero if you do not need to save, copy or print an section of the screen that surrounds the grid itself.

  • Custom Ratios - Type your own numbers into the Aspect or Line Ratio boxes to customize those settings to your own unique ratios.

PhiMatrix Controls, Functions and Options

Name Description Icon Options
Basic Controls for projects requiring only a Phi-based "golden ratio" grid
Grid Line Count Horizontal Number of horizontal grid lines 0-100
Grid Line Count Vertical Number of vertical grid lines 0-100
Axis Horizontal The position of the X axis on the grid.  The "Both" option creates a mirror image of the grid lines. Top,
Bottom,
Both Top & Bottom,
Center
None
Axis Vertical The position of the Y axis on the grid.  The "Both" option creates a mirror image of the grid lines. Left,
Right,
Both Left &Right,
Center,
None
Grid Width Width of grid in pixels 50 - No Limit
Grid Height Height of grid in pixels 50 - No Limit
Grid Lock (Right side of Window) Lock the grid to prevent it from being moved or resized by the mouse.  This makes it easier to use the mouse with underlying programs such as Photoshop.  Changes to the grid via the Control Window or Keyboard commands remain active in this mode. Lock / Unlock
Grid Color RGB color of the entire grid 16,777,216 RGB Colors
Transparency Transparency of the entire grid 0 - 100%
Advance Controls to add/change a border around the grid or set fixed aspect ratios and orientations
Grid Line Width The width of the grid line in pixels. 0 - 30 pixels
Aspect Ratios Fixed aspect ratios using standard formats from digital, photographic and paper sizes.  This allows easy application of layout, resizing and cropping of images using these standard sizes.  The default "Variable" ratio means that height and width can float variably rather than being locked in a fixed height to width aspect ratio. Variable,
1:Phi,
1:1,
Digital 4:3,
Digital 16:9,
Photo 4x6,
Photo 5x7,
Photo 8x10,
Photo 11x14,
Paper 3x5,
Paper 8.5x11,
Paper 8.5x14,
Paper 11x17,
Paper A4,
User
Orientation Orientation of grid when fixed Aspect Ratio control is used Landscape,
Portrait
Border Size The size of the grid border in pixels.  The border defines the area outside of the grid that is included when using grid functions for save to disk, copy to clipboard and print to printer. 0 - No Limit
Border Type The type of border displayed, making it easier to see and drag the grid against various backgrounds. Light Only,
Line/Dark,
Dark Only,
Line Only,
No Border
Expert Controls to use grid line ratios other than Phi
Grid Line Ratios Ratio of each grid line to the ones on either side.  Note that 1 can be used to create a grid with squares of equal dimensions. Phi,
Square Root Phi,
Marquardt Ratio (Cube Root Phi),
Phi Squared,
Fibonacci Series,
Levin Dental Grid,
1, 2, 3,
Root 2,
Root 3,
Root 5,
Oval
User defined
Progression Horizontal Type of Progression for horizontal gridlines.  Inward is 1 to 0 by 0.618 or the chosen Line Ratio.  Outward is 1 to ∞ by 1.618 or the chosen Line Ratio.

 

Inward,
Outward
Progression Vertical Type of Progression for vertical gridlines.  Inward is 1 to 0 by 0.618 or the chosen Line Ratio.  Outward is 1 to ∞ by 1.618 or the chosen Line Ratio. Inward,
Outward
Functions (Icons at Top of Control Window and in Menus)
App Width Button Change the size of the Control Window to show icons, controls and descriptions, to either minimize the footprint or to make it easier to remember the meaning of the controls. Icons Only,
Add Controls,
Add Descriptions
Save Image Save Image to Disk gif, jpg, png, pict, bmp formats
Copy Image Copy Image to Clipboard  
Print Image Print Image to Printer  
Reset Grid Reset Grid to Original Settings  
Save and Load Grid Settings to disk file Saves all grid settings to disk and then loads the settings, including position on the screen
 
Save Settings as Default Save the current grid settings as a default to be loaded automatically when the program is next launched or when the Reset button is selected.  Available from File menu only. File
Menu
 
Data Window with XY Coordinates A data window showing the XY coordinates of all the grid points.  Also optionally displays the XY coordinates on the grid itself.  Pixels, Percents, User defined project dimensions
Lock and Deactivate Grid Deactivate and lock the grid in position to prevent the mouse controls of the grid from interfering with the functions of the underlying program (e.g., use paint tools in Photoshop without any interference.) File
Menu and
Lock / Unlock
Options Tab
Grid Title Optional user defined descriptive title that displays on the top of the image.  Increase the border size to have the title appear outside the grid.   User text input
Grid Footer Optional user defined descriptive footer that displays on the top of the image.  Increase the border size to have the title appear outside the grid.   User text input
Show Control Descriptions Enables or disables the display of the descriptions column on the control window.   Enabled / Disabled
Enable Settings Indicator Enables or disables the display of grid information that appears in certain grid modes such as when the Control Window is in the thin icon only mode (see App Width button above) or when the Line Ratio is set to 1.  It's best to set the Border Size to 12 pixels or more when using this setting so that the indicators appear outside the grid.   Enabled / Disabled
Keyboard Controls
Grid Line Count Use up and down arrows to change number of horizontal grid lines
Use right and left arrows to change number of vertical grid lines
  0-100
Grid position on screen Use Shift key with up, down, right and left arrows to reposition the grid on the screen    
Increase Grid Size Use Control key with up, down, right and left arrows to increase the size the grid    
Decrease Grid Size Use Alt key with up, down, right and left arrows to decrease the size the grid    

 

PhiMatrix Grid Examples

PhiMatrix can be used in its Basic mode alone to unveil and apply phi-based "golden ratio" grid lines for analysis and design.  It can also be used to create a variety of other grid patterns and ratios, as illustrated below.  These are just a sampling of grids that can be created with PhiMatrix.  Many of these grids are already available as presets in PhiMatrix by selecting them from the View menu.  Click on the grid to see a full size view of the image.  Click on the Grid Title shown below the grid to download the related PhiMatrix mtx settings file.  Use File - Open Settings to use any of these in your copy of PhiMatrix.  Review the Control Window settings used to create each grid to learn more about the use of the controls and creating your own unique grids.

Download free PhiMatrix Grid Examples Pack
(Use File - Open Settings to load)