Help with a design Using an eleven-sided flat polygon...

[Rupdedoop]

Using an eleven-sided flat polygon, when one of the sections is removed and the space closed up to produce a ten-sided pyramid, what is the angle between the faces of the pyramid, and what is the ratio of the height of the pyramid to the 'diameter'.

Another way of explaining it is:

Ten isosceles triangles with the equal-length sides of 1, with internal angles of 73.6363, and 32.7272 make up the pyramid - what is the angle between the faces and the height?

 

[Deleted member 4993]

Using an eleven-sided flat polygon, when one of the sections is removed and the space closed up to produce a ten-sided pyramid, what is the angle between the faces of the pyramid, and what is the ratio of the height of the pyramid to the 'diameter'.

Another way of explaining it is:

Ten isosceles triangles with the equal-length sides of 1, with internal angles of 73.6363, and 32.7272 make up the pyramid - what is the angle between the faces and the height?

What are your thoughts?

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[Rupdedoop]

I have tried looking at the 'before you post' link, but it comes up as 'Not Found'.

I do not know where to start. I want to turn a 2-d object into a 3-d one.

I have made a paper mock-up of the resultant figure, but it is not going to be accurate enough to use a protractor on,and I was looking for a theoretical solution rather than a trial and error, or an approximation.

 

[stapel]

I have tried looking at the 'before you post' link, but it comes up as 'Not Found'.

It looks like the back-end script broke the link. It's here.

Using an eleven-sided flat polygon, when one of the sections is removed and the space closed up to produce a ten-sided pyramid, what is the angle between the faces of the pyramid, and what is the ratio of the height of the pyramid to the 'diameter'.

Another way of explaining it is:

Ten isosceles triangles with the equal-length sides of 1, with internal angles of 73.6363, and 32.7272 make up the pyramid - what is the angle between the faces and the height?

These two descriptions sound like two different things. It might help if you provided the full text of the exercise, exactly as it appears in your homework assignment. Thank you!