Summary

If a continuous infinite array of cubic cells of space is considered any changes to the cells resulting from superimposition will be constrained by the condition that the volume of the continuum must remain constant.


Nothing can be lost to or gained from elsewhere. The superimposition of cells is therefore ruled out.

The groups of cells illustrated above should be considered to be part of an infinite continuum. Any loss of volume is compensated by changes to adjacent cells that exist outwith the visible group. As the space must remain continuous any change in the condition of any cell will be reciprocated by changes in the adjacent cells.


Ideally the action and reaction should be sequential, the consequence being a transmission of distortion through the network. In the examples that follow these changes will, for simplicity, be made simultaneously.


In some of the following Animations certain cells have been omitted to increase clarity.

 
Animation 03

intro_03

A typical group of 26 contact cells.

 
Animation 06

intro_06

Alternate rendering of three groups of 26 contact cells with shared vertex cells.

 
Animation 09

intro_09

Seven groups of 26 contact cells with shared vertex cells.

 
Animation 03a

intro_03a

Alternate rendering of a group of 26 contact cells.

 
Animation 06a

intro_06a

Alternate rendering of three groups of 26 contact cells with shared vertex cells.

 
Animation 10

intro_10

Eleven groups of 26 contact cells with shared vertex cells.

 
Animation 04

intro_04

Two groups of 26 contact cells with a shared vertex cell.

 
Animation 07

intro_07

Five groups of 26 contact cells with shared vertex cells.

 
Animation 10a

intro_10a

Eleven groups of 26 contact cells with shared vertex cells.

 
Animation 05

intro_05

Three groups of 26 contact cells with shared vertex cells.

 
Animation 08

intro_08

Alternative configuration of five groups of 26 contact cells with shared vertex cells.

 


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