Nesting Octagons, or how does Carbide Create dimension regular polygons?

as requested on support…

(paraphrasing)

a series of 3 nested octagons are required, the innnermost no more than 20" in diameter, the second is made of 3" wide boards, and the last is a framing of 1/2" wide, 3" tall boards.

which radius does CC use? Circumcircle radius (R) or Innercircle Radius (r)

This is pretty easily checked in Carbide Create. First, draw a 40" diameter circle:

Then, draw a regular polygon:

and one sees that the regular polygon is inscribed inside the circle, and changing to an octagon:

Preserves that.

If one wants a specific perimeter thickness, this is easily done by rotating the octagon so that the top/bottom are orthogonal to the XY coordinate system:

Done

Then draw a rectangle from one side to the other:

Set its height to match the board thickness:

Drag it into alignment:

Then draw lines to cut the ends off at the requisite angle:

Select the Polyline and the rectangle:

and use Trim Vectors to cut the ends off at the desired angle:

and remove the elements which are not wanted:

until one arrives at:

OK

OK

Note that one wants to Join Vectors":

One may verify that this will work by using a Circular Array to replicate as desired:

Pick Center in Window:

Increase the number of elements:

Drawing octagons for the outside is similar — the positions may be calculated with trigonometry, or drawn as an intersection:

Draw a rectangle of the height of the width of board one wishes to use:

ensuring it is longer than the outside length dimension of a given segment, then drag it into position so that it is longer than the inner segment:

Draw a line which has the wanted angle:

Done

Drag it so that one end is positioned at the center:

Shift-click on the rectangle to add it to the selection:

and again use Trim Vectors to get the end trimmed:

OK

That outer point may now be used to draw a new polygon:

which when changed into an octagon:

and rotated:

Done

May be used to create another segment for the next level of the octagon:

which again, may be replicated using a Circular Array:

and the above processes repeated at need to nest as many octagons of whatever width one might require.

Then, the parts may be duplicated and arranged on the Stock in a file:

n

and cut out and then joined together:

interesting. I think I need to read/watch more tutorials on carbide create, as I was not aware you could drag objects directly without using the move tool, and that they can snap to node when doing so. That does help with some of the things I mentioned in my node editing thread, but still want the more robust node editing.

and Thanks!