# Create a Dodecahedron

Developer: RhinoScript
Summary: Demonstrates one way of creating a Dodecahedron.

## Question

I have been reviewing the Create an Icosahedron script, and I would like to adapt it to create a dodecahedron. So far, I have had no luck. Any help you could provided would be appreciated.

The following sample script will create a regular Dodecahedron composed of 12 regular pentagons.

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' Dodecahedron.rvb -- March 2012
' If this code works, it was written by Dale Fugier.
' If not, I don't know who wrote it.
' Works with Rhino 4.0.

Option Explicit

Sub Dodecahedron()

' Declare local variables
Dim center, phi, a, b
Dim v(19), p(11), s(11)

' Prompt for center point
center = Rhino.GetPoint("Center of dodecahedron")
If IsNull(center) Then Exit Sub

' This will make the script run faster
Call Rhino.EnableRedraw(False)

' A few calculations...
phi = (1.0 + Sqr(5.0)) * 0.5
a = 1 / phi
b = 1 / (phi * phi)

' Define the dodecahedron's 20 vertices
v(0)  = Rhino.PointAdd(center, Array( 0,  1,  b))
v(1)  = Rhino.PointAdd(center, Array( 0,  1, -b))
v(2)  = Rhino.PointAdd(center, Array( 0, -1,  b))
v(3)  = Rhino.PointAdd(center, Array( 0, -1, -b))
v(4)  = Rhino.PointAdd(center, Array( 1,  b,  0))
v(5)  = Rhino.PointAdd(center, Array(-1,  b,  0))
v(6)  = Rhino.PointAdd(center, Array( 1, -b,  0))
v(7)  = Rhino.PointAdd(center, Array(-1, -b,  0))
v(8)  = Rhino.PointAdd(center, Array( a,  a,  a))
v(9)  = Rhino.PointAdd(center, Array(-a,  a,  a))
v(10) = Rhino.PointAdd(center, Array( a,  a, -a))
v(11) = Rhino.PointAdd(center, Array(-a,  a, -a))
v(12) = Rhino.PointAdd(center, Array( a, -a,  a))
v(13) = Rhino.PointAdd(center, Array(-a, -a,  a))
v(14) = Rhino.PointAdd(center, Array( a, -a, -a))
v(15) = Rhino.PointAdd(center, Array(-a, -a, -a))
v(16) = Rhino.PointAdd(center, Array( b,  0,  1))
v(17) = Rhino.PointAdd(center, Array(-b,  0,  1))
v(18) = Rhino.PointAdd(center, Array( b,  0, -1))
v(19) = Rhino.PointAdd(center, Array(-b,  0, -1))

' Create the dodecahedron's 12 faces
p(0)  = Rhino.AddPolyline(Array(v(16), v(17), v( 9), v( 0), v( 8), v(16)))
p(1)  = Rhino.AddPolyline(Array(v(17), v(16), v(12), v( 2), v(13), v(17)))
p(2)  = Rhino.AddPolyline(Array(v(18), v(19), v(15), v( 3), v(14), v(18)))
p(3)  = Rhino.AddPolyline(Array(v(19), v(18), v(10), v( 1), v(11), v(19)))
p(4)  = Rhino.AddPolyline(Array(v( 1), v( 0), v( 8), v( 4), v(10), v( 1)))
p(5)  = Rhino.AddPolyline(Array(v( 0), v( 1), v(11), v( 5), v( 9), v( 0)))
p(6)  = Rhino.AddPolyline(Array(v( 3), v( 2), v(13), v( 7), v(15), v( 3)))
p(7)  = Rhino.AddPolyline(Array(v( 2), v( 3), v(14), v( 6), v(12), v( 2)))
p(8)  = Rhino.AddPolyline(Array(v( 4), v( 6), v(12), v(16), v( 8), v( 4)))
p(9)  = Rhino.AddPolyline(Array(v( 6), v( 4), v(10), v(18), v(14), v( 6)))
p(10) = Rhino.AddPolyline(Array(v( 5), v( 7), v(15), v(19), v(11), v( 5)))
p(11) = Rhino.AddPolyline(Array(v( 7), v( 5), v( 9), v(17), v(13), v( 7)))

' Join all of the faces
Rhino.UnselectAllObjects()
Call Rhino.SelectObjects(s)
Call Rhino.Command("_Join", False)
Call Rhino.DeleteObjects(p)
Rhino.UnselectAllObjects()

' Don't forget to do this
Call Rhino.EnableRedraw(True)

End Sub

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