SolidWorks Dodecahedron Tutorial

How to Model a Dodecahedron in SolidWorks?

A week ago I received an email from Jose Diaz with the question how to model a Dodecahedron in SolidWorks. I didn’t even know what a Dodecahedron was… Wikipedia says the following about it: “In geometry, a dodecahedron is any polyhedron with twelve flat faces, but usually a regular dodecahedron is meant: a Platonic solid. It is composed of 12 regular pentagonal faces, with three [...]

A week ago I received an email from Jose Diaz with the question how to model a Dodecahedron in SolidWorks. I didn’t even know what a Dodecahedron was…

Wikipedia says the following about it:

“In geometry, a dodecahedron is any polyhedron with twelve flat faces, but usually a regular dodecahedron is meant: a Platonic solid. It is composed of 12 regular pentagonal faces, with three meeting at each vertex, and is represented by the Schläfli symbol {5,3}. It has 20 vertices, 30 edges and 160 diagonals.” – Wikipedia

After a little research I discovered a SolidWorks model of Azrael from Grabcad. His SolidWorks model is so interesting that I’ve written a tutorial about it. Below I will show you exactly how to model a Dodecahedron with only two features in SolidWorks! I will also teach you how to use the Equations feature. Enjoy it and don’t forget to share this tutorial with other SolidWorkers!

NOTE: This tutorial is made with SolidWorks 2010. The equation feature is changed dramatically in SolidWorks 2013. 

0042 How to Model a Dodecahedron in SolidWorks?

Open a new part with model units set to millimeters

Go to: File > New > Part New Part1 How to Model a Dodecahedron in SolidWorks?

Create a 2D sketch

Select the Top Plane in the feature tree (menu at the left side) and create a sketch by clicking on the 2D Sketch icon 2d sketch How to Model a Dodecahedron in SolidWorks?

The display changes so the Top plane faces you.

2 front plane How to Model a Dodecahedron in SolidWorks?

Create a Construction Circle

Go to Tools > Sketch Entities > Circle or click at the circle icon circle How to Model a Dodecahedron in SolidWorks?

Create a sketch which starts at the Origin. Origin How to Model a Dodecahedron in SolidWorks?

Change the dimensions of the circle into 100 mm by clicking at the dimension button dimension How to Model a Dodecahedron in SolidWorks?

3 2d circle How to Model a Dodecahedron in SolidWorks?

Click at the Circle and change the Solid Line into a Centerline by clicking at the For Construction option

Click OK ok How to Model a Dodecahedron in SolidWorks?

4 construction line circle How to Model a Dodecahedron in SolidWorks?

Draw a Polygon

Go toTools > Sketch Entities > Polygon or click at the polygon icon solidworks polygon How to Model a Dodecahedron in SolidWorks? 

Change the number of corners into 5 as shown in the picture

5 solidworks polygon How to Model a Dodecahedron in SolidWorks?

Make sure that the top point of the Polygon is connected with the construction circle

Select the top point of the polygon, hold down the Control key and select the circle

Click at the Coincident relation feature to add a relation between the polygon and circle coincident How to Model a Dodecahedron in SolidWorks?

6 polygon dimension How to Model a Dodecahedron in SolidWorks?

 Make the sketch fully defined as shown in the picture

7 fix polygon How to Model a Dodecahedron in SolidWorks?

There has to be a Ratio between the dimension of the Polygon and the height of the Extrude

For a Dodecahedron this ratio is 1 : Sinus( 18)+1.

When the dimension of the circle is 100, the height of the Extrude has to be Height Extrude x Sin(18)+1

With the Equations feature you can automate complicated relations between the size of the construction circle and the height of the Extrude.

Let’s add the Equations for this model.

Go to Tools > Equations or click at the Equations button solidworks equations How to Model a Dodecahedron in SolidWorks?

8 add Equations How to Model a Dodecahedron in SolidWorks?

Go to Add

Type: “Ratio”=sin(18)+1

Click OK

Now SolidWorks knows what the value of the “Ratio” is.

9 solidworks equations How to Model a Dodecahedron in SolidWorks?

Add a second Equations

The Height of the Dodecahedron has to be the Ratio x the dimension of Sketch1

Go to Add

Type: “Height”= “D1@Sketch1″ * “Ratio”

NOTE: For “D1@Sketch1″ you can click at the dimension of Sketch1 instead of writing “D1@Sketch1”

Click OK

Now SolidWorks knows that the “Height” of the  Dodecahedron is the Dimension of Sketch1 x the Ratio.

Click OK

10 add equation How to Model a Dodecahedron in SolidWorks?

Create an Extruded Boss/Base

Go to: Insert > Boss/Base > Extrude or click at the Extrude icon Boss Base Extrude How to Model a Dodecahedron in SolidWorks?

The Boss-Extrude menu appears

Direction 1 is set to Blind Reverse Direction How to Model a Dodecahedron in SolidWorks?

Change D1 into 10 mm Dimension 1 How to Model a Dodecahedron in SolidWorks?

Click at the Draft icon Draft How to Model a Dodecahedron in SolidWorks?

Change the Angle into 26.56505118deg

Select the Draft outward option

Click OK ok How to Model a Dodecahedron in SolidWorks?

11 extrude draft How to Model a Dodecahedron in SolidWorks?

SolidWorks has to know that the “Height” is equal to the height (D1) of Extrude1.

Add a third Equation for this model.

Go to Tools > Equations or click at the Equations  button solidworks equations How to Model a Dodecahedron in SolidWorks?

Type: “D1@Boss-Extrude1″ = “Height”

Click OK

As you can see in the picture, the height of the Extrude changes into 130.9mm.

(if not click at the Rebuild button ) rebuilt How to Model a Dodecahedron in SolidWorks?

12 equations dodecahedron How to Model a Dodecahedron in SolidWorks?

Create another 2D sketch

Select the blue surface and create a sketch by clicking on the 2D Sketch icon 2d sketch How to Model a Dodecahedron in SolidWorks?

13 sketch on surface How to Model a Dodecahedron in SolidWorks?

Click at the Normal To button to look perpendicular on the blue surface normal to How to Model a Dodecahedron in SolidWorks?

Change the view into a Wireframe

14 viewbar How to Model a Dodecahedron in SolidWorks?

Click at the Hidden Line Visible box in the ViewManager hidden lines visible How to Model a Dodecahedron in SolidWorks?

15 hidden line visible How to Model a Dodecahedron in SolidWorks?

Create a Construction Circle

Go to Tools > Sketch Entities > Circle or click at the circle icon circle How to Model a Dodecahedron in SolidWorks?

Create a sketch which starts at the Origin. Origin How to Model a Dodecahedron in SolidWorks?

Connect the circle with a point of the previous polygon as shown in the picture

Click at the Circle and change the Solid Line into a Centerline by clicking at the For Construction option

Click OK ok How to Model a Dodecahedron in SolidWorks?

16 construction circle How to Model a Dodecahedron in SolidWorks?

Draw a Polygon

Go to Tools > Sketch Entities > Polygon or click at the polygon icon solidworks polygon How to Model a Dodecahedron in SolidWorks?

Change the number of corners into 5 as shown in the picture.

Place the new Polygon exactly between the previous polygon as shown in the pictures

Use construction lines when necessary.

17 fixed polygon How to Model a Dodecahedron in SolidWorks?
Create an Extruded Cut

Go to: Insert > Cut > Extrude or click at the Extrude Cut icon extruded cut How to Model a Dodecahedron in SolidWorks?

The Cut-Extrude menu appears

Direction 1 is set to Blind Reverse Direction How to Model a Dodecahedron in SolidWorks?

Change D1 into 10 mm Dimension 1 How to Model a Dodecahedron in SolidWorks?

Click at the Draft icon Draft How to Model a Dodecahedron in SolidWorks?

Change the Angle into 26.56505118deg

Select the Flip side to cut

Click OK ok How to Model a Dodecahedron in SolidWorks?

18 extruded cut How to Model a Dodecahedron in SolidWorks?

SolidWorks has to know that the height of the Cut Extrude is equal to the height (D1) of Extrude1.

Add a fourth Equation for this model.

Go to Tools > Equations or click at the Equations  button solidworks equations How to Model a Dodecahedron in SolidWorks?

Type: “D1@Cut-Extrude1″ = “Height”

Click OK

19 solidworks equations How to Model a Dodecahedron in SolidWorks?

As you can see in the picture, the height of the Extrude changes into 130.9mm.

(if not click at the Rebuild button rebuilt How to Model a Dodecahedron in SolidWorks?)

20 solidworks rebuilt How to Model a Dodecahedron in SolidWorks?

Well that’s all! You’ve just created a perfect Dodecahedron and hopefully learned something about the Equations feature. And the best part is, when you change the size of the first polygon sketch, the sizes of all the other features will automatically change as well (thanks to the Equations).

If you’ve, just like José, a specific modeling question about SolidWorks, let me know and perhaps I will write a tutorial about it.

Feel free to leave a comment or question below!

1 solidworks dodecahedron tutorial How to Model a Dodecahedron in SolidWorks?

 

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