Connecting Points in Grid

I want to make a grid of 6 Curve lines ie. ( 1-1' , 2-2' , 3-3' , 4-4' , 5-5' ,6-6' ) in X axis with 6 lines on Y axis ie. ( A-A' , B-B' , C-C' , D-D' , E-E' , F-F' ).

Each line along both axis is made by joining 6 points with distances between them as follows -

6 points on X axis : 10mm , 10mm , 10mm , 10mm , 10mm

6 points on Y axis - Are according to Fibonacci series. ie. distance between points is 

A-A' : 5mm , 5mm , 10mm , 15 mm , 25 mm

B-B' : 25 mm , 15 mm , 10mm , 5mm , 5mm 

C-C' : 25 mm , 15 mm , 10mm , 5mm , 5mm 

D-D' : 5mm , 5mm , 10mm , 15 mm , 25 mm

E-E' : 5mm , 5mm , 10mm , 15 mm , 25 mm

F-F' : 25 mm , 15 mm , 10mm , 5mm , 5mm 

I want to move these points in XY plane . As the grid intersection points are at different distances the curved grid lines will bend and turn to intersect at these 6 points.