Order from Order: Human heart Shape Models

A realistic model, even only of the external shape, of an organ of a living being is very hard to be implemented since we do not know – or perhaps there does not exist - a program code (algorithmic information) shorter than the list of the co-ordinates of each cell (roughly represented as a point on a screen). It may be that the biological code (DNA and more) of a true organ is irreducible to a shorter string than the list of all the co-ordinates involved (incompressible string).

Only a very poor representations can be obtained starting from a short string lik that of a computer program based, e.g., on the parametric equations of a manifold in 3D space like, e.g., the following ones.

 

Parametric equations

 

Human heart external shape plotted sequentially

Rough ordered structure generated by parametric equations (short string)

step 1

 

step 2 - Pov Ray 3.7 code

VIEW ANIMATION

step 3

 

 

step 1

 

step 2

VIEW ANIMATION

step 3
 

 

Realistic heart shape generated sequentially by smooth triangles (uncompressed list of data: long string)

A realistic model based on anotomic images has been realized by Bob Huges (open source:http://objects.povworld.org/cgi-bin/search.cgi?X=heart) based on a decomposition of the heart shape into smooth trinagles.

Acting on the uncompressed list of the co-ordinates of the vertices of triangles one is able to obtain a sequentially ordered plot of the heart shape.

 

step 1

 

step 2

POV Ray 3.7 code

step 3

 

 

step 4

 

step 5

VIEW ANIMATION

step 6