How to Draw a Golden Rectangle: 8 Steps

Table of contents:

How to Draw a Golden Rectangle: 8 Steps
How to Draw a Golden Rectangle: 8 Steps
Anonim

A golden rectangle is a rectangle with sides of proportionate lengths according to the golden ratio (approximately 1: 1.618). This article also explains how to draw a square, necessary for the creation of a golden rectangle.

Steps

Construct a Golden Rectangle Step 1
Construct a Golden Rectangle Step 1

Step 1. Draw a square

We call the vertices A, B, C and D.

Construct a Golden Rectangle Step 2
Construct a Golden Rectangle Step 2

Step 2. Find the center of one side of the square by dividing it in two with a compass

We choose the side AB and call the center point P.

Construct a Golden Rectangle Step 3
Construct a Golden Rectangle Step 3

Step 3. Connect point P to a corner of the opposite side

Since P is on the AB side, the opposite side will be CD. We choose to connect P with C.

Construct a Golden Rectangle Step 4
Construct a Golden Rectangle Step 4

Step 4. Point the compass at P and set the opening to the length PC

Draw a large arc towards the BC side.

Construct a Golden Rectangle Step 5
Construct a Golden Rectangle Step 5

Step 5. Extend side AB to intersect the arc at some point (Q)

Construct a Golden Rectangle Step 6
Construct a Golden Rectangle Step 6

Step 6. Draw a line parallel to the BC side, passing through Q

Construct a Golden Rectangle Step 7
Construct a Golden Rectangle Step 7

Step 7. Extend the DC side to intersect the parallel line at some point (R)

Construct a Golden Rectangle Step 8
Construct a Golden Rectangle Step 8

Step 8. Congratulations

You just drew a Golden Rectangle AQRD. Delete any unnecessary lines if you want.

  • You can verify that the proportion of the length of the short side of the rectangle (QR or AD) to the long side (AQ or RD) is very close to 1: 1.618.

    Construct a Golden Rectangle Step 8Bullet1
    Construct a Golden Rectangle Step 8Bullet1

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