how to draw a nautical spiral on graph paper

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Commonly constitute in nature, the well-known shape of the golden screw is a unique form but can be sketched nicely using the elements of the Fibonacci sequence. It is fairly simple to draw, and can be quite beautiful when washed correctly.

1. 1

   Get together your materials. You lot'll need to draw a system of squares that will end up "inscribing" the spiral, acting as guide lines for your drawing. Gather your materials, making sure that you accept everything––the list of what is needed is plant in the Things You lot'll Demand section beneath all the steps.

2. 2

   Draw squares using the Fibonacci sequence. This works by adding the two previous numbers: You get the next one starting from 0 and 1; so, it goes 0, 1, ane, 2, iii, 5, 8, thirteen, 21, 34, 55, etc. The length of one side of each square should equal a number in the sequence (the 0 is not needed for drawing whatsoever of the square), simply the commencement point can be chosen (0,0), if we set it up that style. You will have a 1X1 foursquare (utilize any unit y'all want, at any size, just exist consistent) with a second 1X1 drawn adjacent to it on the left side of the first, and then down to put 2X2, and right for 3X3, then up for 5X5, so left to fit 8X8. Below all that, put 13X13 and so on, to as large a square as your paper tin fit.

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3. three

   Arrange the squares. Draw each of these squares in a counter-clockwise design. It will finally form a spiral as you draw a curve through the squares (as instructed after).

4. 4

   Turn the compass. Put your compass, pivot indicate and pencil, every bit shown in the moving-picture show, with its length fix at one unit of measurement (side of the first square) long. Turn it xc degrees counter-clockwise.

5. 5

   Adapt the compass. Suit the compass so it is now two units long. Again, turn it 90 degrees counter-clockwise. And then 3, and so 5, adjacent viii and continue this process until the squares each take the curving screw through them.

6. 6

   Ink your spiral. Ink your drawing with pen when you are ready, carefully tracing forth the penciled curve. If you're shooting for exceptional accuracy, you tin can use a French bend to assist you.

7. 7

   Erase your guide lines. With the screw traced in pen, employ your eraser to rub out the squares made in pencil.

8. 8

   Done! Congratulations, you've just made the gold spiral!

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1. i

   Describe a square with perfectly equal sides. Using a ruler and protractor can help.

2. two

   Detect the halfway bespeak. Find the halfway point on ane of the sides.

3. 3

   Align a compass to the opposite corner. Take a compass and find one of the corners on the opposite side from where you took the halfway point. With the needle on the halfway betoken, place the arm at the contrary corner.

4. 4

   Extend the line. Rotate the compass until the arm is in line with the side where you took the halfway point. This spot will now be the corner for the gilt ratio outline rectangle.

5. 5

   Depict the new rectangle. Using a ruler, extend your square into a rectangle with the bespeak you institute as one of its corners. This new rectangle can be used every bit a ground for cartoon your spiral.

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Add New Question

• Question

  Can I do this without the compass?

  

  Undertale4141

  Superlative Answerer

  Yes, the compass simply makes it more exact. You can draw the arches yourself.

• Question

  Can I create a spiral using words?

  

  Yes! Just follow the same steps, but lightly trace the line and write your words over it in pen. And so you can erase the line, leaving only your words in the screw pattern.

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• Using a French curve can profoundly help your accuracy, but it takes some practice to find the right curves and make it flow.

• Use a thick pen. It gives y'all a flake more "jerk room" with the pencil curve, and then if yous start to stray a trivial y'all tin grab it and correct it without it being too obvious.

Thank you for submitting a tip for review!

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• Be careful with compasses. They can rip your newspaper, and the point is quite sharp.

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Things You lot'll Need

• Graph newspaper
• Compass
• Pencil
• Eraser

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Article Summary 10

The gilded spiral is commonly found in nature and you lot tin can depict it using elements of the Fibonacci sequence. Yous'll need a piece of graph paper, a compass, a pencil, and an eraser. First, depict squares in a counterclockwise pattern on the piece of paper using the Fibonacci sequence. Simply count up by adding the two previous numbers. Then, apply the compass to describe the screw with the squares as guidelines. Once you've finished the spiral, go over your pencil markings in ink and erase the guidelines. For more tips on cartoon the gilt spiral, like how to use the rectangle method, read on!

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Source: https://www.wikihow.com/Draw-the-Golden-Spiral

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