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lvl10720-Turquoise
20-Turquoise
September 8, 2022
Solved

Polyhedron("#28") ?

Hi, Everyone.
From the following:

Polyhedron#28.PNG

Polyhedron#28 (2).PNG

 

Any idea to complete 12 faces of Polyhedron("28") ?

 

Thanks in advance for your time and help.
Best Regards.
Loi.

 

Werner_E
Werner_EAnswer
25-Diamond I
September 9, 2022

Here is a dodecahedron, not using the methods and functions in Prof. Birkelands great E-book:

Werner_E_0-1662684304670.png

The method used can be seen in the following animation:

dodecahedron.gif

 

Remark: Instead of mirroring at the xy-plane and then rotating by 36 degree it would as well be possible to rotate the bottom half around the y-axis by 180 degree.

 

 

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2 replies

Werner_E
Werner_E25-Diamond I
25-Diamond I
September 8, 2022

You may be interested in

https://community.ptc.com/t5/Mathcad/Creating-Amazing-Images-with-Mathcad-14/td-p/441375

 

Prof. Birkeland also provides a function for drawing a dodecahedron. Here an example from chapter 4.13

Werner_E_0-1662640393824.png

 

But be warned - its sure heavy hardcore stuff 😉

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Werner_E
Werner_E25-Diamond IAnswer
25-Diamond I
September 9, 2022

Here is a dodecahedron, not using the methods and functions in Prof. Birkelands great E-book:

Werner_E_0-1662684304670.png

The method used can be seen in the following animation:

dodecahedron.gif

 

Remark: Instead of mirroring at the xy-plane and then rotating by 36 degree it would as well be possible to rotate the bottom half around the y-axis by 180 degree.

 

 

Translate
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