Creo Parametric - How to Model a Dodecahedron

This Creo Parametric tutorial shows how to create a 12-sided regular polyhedron, which is called a dodecahedron.
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Thanks,
Dave

[@RDTengineered]

Okay this one sparked my interest for unknown engineering reasons so I found a way to do this that at a minimum has less grind feeling.
up front research info needed:
+ The equation for the exact side angles of a dodecahedron (~116 deg)
+ Golden ratio equation
+ Radius of inscribed circle/sphere
Steps:
1. Put the 3 equations into relations for later use and add the edge length parameter to complete the "Radius of inscribed circle" equation.
2. Make 2 new planes for top and bottom offset from a start part plane by "Radius of inscribed circle" in each direction
3. Sketch pentagons on the top and bottom planes, they need to be rotated appropriately related to each other. I set one to have edge length equal to the parameter setup for edge length. The other constrained to so it is the same size as the first
4. Fill command each sketch.
5. (extrude 1) Extrude bottom sketch up as surface with taper set to the param for the side angle equation - 90deg for the measurement start point of taper. Extrude up to the surface of top plane. (will hide this later because it is construction geom)
6. (extrude 2) Extrude top sketch down with taper set by the param already established in step 5. This time extrude up to surface of "extrude 1".
7. Hide "extrude 1"
8. (extrude 3) Repeat extruding the bottom sketch of pentagon up again but this time extrude up to the surface of extrude 2.
9. Have a surface model on screen now of the shape, lets merge the needed surfaces. I have a bug here(7.0.3.0)... If I select fill 1, fill 2, extrude 2, extrude 3 and click merge it fails... If I flip the order in which I select the features it succeeds. Merge
10. Solidify the merge
Volume and area came out same as the video example here.
Here are the relations when complete
/* A01_LENGTH_EDGE = 1 /* Using Param value input after initial setup
A02_ANGLE_DECOSIDE = acos(-sqrt(5)/5)
A03_RATIO_GOLDEN = (1+sqrt(5))/2
A04_RADIUS_INSCRIBED = ((A03_RATIO_GOLDEN^2)/(2*sqrt(3-A03_RATIO_GOLDEN)))*A01_LENGTH_EDGE
/*CREO MEASURES TAPER STARTING 90 DEGREES TO SURFACE
A05_ANGLE_TAPER = A02_ANGLE_DECOSIDE - 90
d0 = A04_RADIUS_INSCRIBED /*top plane offset
d1 = A04_RADIUS_INSCRIBED /*bottom plane offset
d2 = A01_LENGTH_EDGE /* 1st pentagon sketch edge length set
d9 = A05_ANGLE_TAPER /* taper extrude 1
d13 = A05_ANGLE_TAPER /* taper extrude 2
d17 = A05_ANGLE_TAPER /* taper extrude 3
/*End Relations
Final Tree:
Materials
Bodies (1)
RIGHT
TOP
FRONT
PRT_CSYS_DEF
DTM1
DTM2
Sketch 1
Sketch 2
Fill 1
Fill 2
Extrude 1

[@RDTengineered]

Updated simple method... same as your video up to @9:52 ... just eliminate the grind. ( may have to set diag line to construction)
1. Revolve a half circle on the same plane as "sketch 2" by using center point that is established in the video "PNT2" and constrain the diameter of the circle to the corner of the "sketch 1" pentagon. This makes a circumscribed sphere of the D12.
2. Extrude cut with "sketch 2" anything outside the closed sketch.
3. Pattern extrude cut 5x equally spaced 360 around center axis.
Done.
no param or equations pure geom.
Final Tree:
Materials
Bodies (1)
RIGHT
TOP
FRONT
PRT_CSYS_DEF
Sketch 1
Sketch 2
Revolve 1
Pattern 1 of Extrude 1