Fibonacci/Golden Spiral

by chowdaniel2696 in Workshop > 3D Printing

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Fibonacci/Golden Spiral

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I made the Fibonacci Spiral (AKA Golden Spiral) in Onshape. The Fibonacci sequence has always intrigued me, how a very simple pattern can blossom in to something beautiful. To commemorate Fibonacci day about a week ago, I created the Fibonacci Spiral in Onshape that (later) can be used to 3D print.

Supplies

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If you're only modeling, the only supplies you need is a computer and an Onshape account. Creating an Onshape account is free and can be used to create a variety of stuff. The Onshape link is https://www.onshape.com/en/ If you want to 3D print this, you would also need a 3D Printer

Sketching the Box(es)

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Create the sketch onto the top plane and view to normal. Make a corner rectangle square that is 1x1 inches attached to the center. Make another the same dimensions alongside it.

Even More Boxes

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After making the two boxes, sketch another square on top of both box that is dimensions 2x2 inches. After that, a box to the left that is 3x3 inches. Continue making boxes in a spiral until content. Remember to follow the Fibonacci Sequence for the dimensions: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55... For this project, I'm only going up to 21x21. Once you're done, press the green check on the top right to save.

Extruding the Base

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Open up the extrude tool and extrude all the boxes. Reverse the direction and set extrude depth to 0.5 inches.

Sketching the Lines

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Make another sketch on the base and show sketch 1. Find center point arc in the Toolbar (pressing "3-point arc" and pressing the arrow). Make a curve by pressing the center, clicking another corner, and tracing the curve into the other corner. Do this for the rest of the base's squares.

Offset the Lines

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Press "Offset" and select all the lines. Offset the lines by 0.25 inches inward and then confirm. You can now save the sketch.

Extruding the Boxes

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Hide sketch 2 and show sketch 1. Open up the extrude tool again and select the second smallest box. Set extrude type to "New" and set depth to 0.5. Continue extruding boxes in the same order as you drew them with an increasing amount of depth. (1, 1.5, 2, 2.5, 3, 3.5...)

Extruding the Lines

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Once finished with the boxes, hide all the parts and show sketch 2. Extrude the lines with "New" as always and make the depth about 0.5 inches higher than the highest box. For example, if your highest box is 3.5 inches, your lines should be 4 inches tall. Extrude each line separately if you want to color each one individually.

Adding Text

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To add text, make a sketch, and instead of putting it on a plane, add it to the box. Select text and drag the textbox into the sketch. After typing, dimension the text box so it fits on the square. You can guess the length but make sure it isn't crossing over boxes or touching the line. Repeat adding sketches with text until you reach the third-smallest box. (2x2)

"Removing" the Text

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Open up the extrude tool and select all the text. Remember to select the text itself and not the area around the text. Press "Remove." This will make it so the it looks like the sketches are "engraved" into the boxes. Change the depth to 0.5 and enable "Merge with all".

Changing the Color (optional)

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If you extruded everything as a separate object (except for the text), you can color each separate piece individually. You can color the object by going to a part, right-clicking, and then selecting "Edit appearance." It'll bring up a color sheet that lets you color the pieces.

Making It a 3D Model

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If you would like to print out this design, you need to export it as a STL file. On the bottom, right click "Part Studio" and press "Export." Change the Format to STL and export. OR just download the file from here. After scaling the dimensions, you can insert the file into a 3D printer and obtain a Fibonacci Spiral model in real life.