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The Gauge for the Golden Section

The golden section occurs in nature and in the human body, but also in art and architecture. This has been a well-known design rule since ancient times. The division ratio of this theory is called a balanced guideline and is perceived by humans as particularly harmonious.
With an appropriate gauge, objects can be arranged in a golden section on a given surface and thus create a harmonious image. The gauge also serves to measure simple length ratios in the golden section.
So it is worthwhile to recreate the golden section gauge and thus create a harmonious environment. At the beginning we want to briefly explain the theory to you.


Theory Part: What Is the Golden Section?

The golden section denotes the relation between two track lengths. We have a golden section if the ratio of the larger stretch to the smaller one is the same as the ratio of the two lengths together to the longer stretch.

The theory of the Golden Section.

You can write it as a formula:

 a     =    a+b
 b             a

The ratio a/b is also called the Golden number, which can be calculated from the equation above to F=1,618….

How you can easily build a golden section gauge yourself and what you need, you'll find out here. 

Material Tools
Any kind of wood, e.g. Bamboo cutting board (20x30x0,08cm) Circular Saw
Collar Nuts Disc Sander
M3 Threaded Rods Cordless Drill
Boiled Linseed Oil Sandpaper

Step 1: Cutting

Cutting strips from the Bamboo cutting board.
Four strips from the Bamboo cutting board.

Four strips of 8 mm are cut from the bamboo cutting board. Whether you use a circular saw or a band saw doesn't really matter.

Step 2: Cutting and Shaping the Strips

The necessary lengths for the project.
The strips for the project with the appropriate lengths.

The strips are cut to each other in the ratio of the golden section. The decisive factor is not the length end to end but from the connection points to the tips or connection point to connection point.
The starting point is the longest strip, which is 296 mm long. It is 5 mm to the middle of the upper connection point, so we have a length of 291 mm. Two strips are required.
The other lengths are derived from this: 180 mm and 111 mm.

Marking the round ends with a suitable size washer.
The marking on the strips.

The round ends are marked with a suitable size washer. You can let your imagination play for the shape of the tips. Here they were drawn straight.

Shaping the ends and tips with a disc grinder.
The shaped strips.

The ends and tips are then quickly shaped with a disc grinder.

Step 3: Drilling the Connection Holes

Drilling the holes in the strips.
Lowering the holes on one side.

The connection holes are drilled with a 5 mm drill and then lowered on one side.

Step 4: Sanding and Oiling

Sanding the strips with sandpaper.
Oiling the strips with boiled linseed oil.

Before the gauge is assembled, all edges and surfaces are made a little smoother with 240-grit sandpaper.

Then the strips get a surface protection with boiled linseed oil.

Step 5: Assembling the Gauge

Collar nuts and M3 threaded rods.

Two pieces of the collar nuts are connected in a joint with a piece of M3 threaded rod.

The strips are assembled according to the template.


The finished gauge.
Arrange objects in the golden section.

The gauge is now complete.

Because all the strips are in the length ratio of the golden section and through the practical application of the similarity sets for triangles and radiation sets, the distances between the tips always have the ratio of the golden section.

Have fun recreating the gauge!