FUN CHRYZODE 
 
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THE POINTS OF INTERSECTION CHRYZODES 

    Trying to illustrate both the corpusclar and undulatory aspects of matter,  it's better to show the only points of intersection of the lines (by means of computer). We then discover a new development and the points of intersection chryzode reveals a new structure.
EXAMPLE 3 : THE POINTS OF INTERSECTION 
IN THE MULTIPLICATION BY 3 
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the multiplication in lines 
in the number 201 
the points of intersection of the lines
in the number 1401 

    Then,  in the 8-shaped curve we find a lot of curves like some waterings.
    Here the chryzodes  reveal us the partials of a wave. 

EXEMPLE 4 : The multiplication by 3 
in the numbers multiple of 7

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 We represent the multiplication by 3 on circles multiple of 7 ( the points of intersection of a multiplication by 3 in a circle with 7 points on which circles with 14 points, 21points, 28 points, etc., are superposed). 

Here, in the 8-shaped curve we discover many «tops» of synchronization organized in beams. These beams illustrate the harmonics of the system.

EXAMPLE 5 : ENLARGING THE MULTIPLICATION BY 3

IN THE NUMBERS MULTIPLE OF 7 

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    Note that  in the enlarged figure, the starting curve is not found again.  
    Consequently the chryzodes do not belong to the fractal family. 
    But they illustrate the relations of harmony which may appear inside a set of periodic phenomena. With this angle of view, they above all teach us a science of the harmony and the relational. If the cap shoe fits...