String-based Geometry.

If you had to make precise drawing by hand, how would you do it? You might reach for a ruler, compass, or protractor. Now, what if you wanted to make a precise drawing the size of a football field? Today, this might be done using GPS or drones, but imagine you were alive during the Bronze Age and didn't have access to any of that technology.

String-based geometry offers one solution for making large and precise drawings without the use of modern technology. Using just string or rope and other simple tools, it might sound like the options for what can be drawn would be somewhat limited: maybe some lines and circles. In fact, by combining simple geometric operations in specific sequences of steps, it becomes possible to build up an incredibly elaborate drawing.

Click the links below to learn about some of the geometries that can be used to create a string-based drawing.

Fundamentals

Straight Line

Straight Line

Division by Folding (In Two)

Division by Folding (In Two)

Circle

Circle

Division by Folding (In Three)

Division by Folding (In Three)

Ellipse

Ellipse

Circular Arc

Circular Arc

Composite Operations

Parallel Line at a Given Distance

Parallel Line at a Given Distance

Equilateral Triangle

Equilateral Triangle

Perpendicular Lines at a Given Point

Perpendicular Lines at a Given Point

Transverse Common Tangents

Transverse Common Tangents

Direct Common Tangents

Direct Common Tangents

Two Point Spiral

Two Point Spiral

90 Degree

90 Degree

Moss’s Egg

Moss’s Egg

Perpendicular Lines

Perpendicular Lines

 
 

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