The plane (2D) geometric development step by step

Step 1

The square

The construction starts with a square in which an equilateral triangle is drawn.

Step 2

The base line

The "Base line" is constructed which dicides the length of the instrument, 6/8 of the original square size (B)

Step 3

The double base line layout

The whole figure is doubled by the mirror image through the horizontal square axis.

Step 4

The extended cords

The centre in the original square is the rotation point (C) for the next step.

(D) is the extention line of the cords through the intersections of the baseline and triangles.

 

Step 5

The final (2D) layout after a determinate rotation.

The complete plane layout occurs when rotations are carried out on the main figures one clockwise and the other counter clockwise.

The rotation stops on the point of intersection (E)

 

 

Step 6

The string lengths and measures appear

Connecting the midpoints of the side of the equilateral triangles (F), belonging to the size of the baseline radius, points out the position of the bridge on the longitudinal axis in the center. The double string lengths occur (G) when this point and the point of the extended cords intersect with the longitudinal axis. Halve this lengths is the string lengths. At the same time the division between neck and body H and I is decided.

H and I are in 2:3 relationship

Next page step 7 - 10

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