Hexagon angles not symmetric (polygon tool)

[Derek is not an artist]

I created a hexagon using the pentagon tool, then switching "5" to "6" on the curve number. When trying to draw some lines parallel to the non-vertical edges, I found that the generated hexagon was skewed. The non-vertical edges are about 0.5 degrees off of 30/60/120/180 and when tiling these hexagons it is obviously asymmetric. Seems like an error in the math that generates the polygons. Our primary logo is a hexagon, so this hurts. Please fix!

[Derek is not an artist]

Thanks for the tip! I went back and checked and like you said it seems like the original pentagon was a little skewed when I made it. I had assumed the math would reset when you change polygon types. Seems like everything is lined up well now. 

[Kimo]

Yea. i just realized that when i want a hexagon to fit a size 140 mm box, it requires a hexagon with size 161,7 to fit. and i cant get it to connect lines from corner to corner, it pins it off with a few pixels. I honestly have to go back in illustrator, until this is fixed. which is a bit annoying, since all my Work are in affinity.  

In short. a 14 cm Hexagon, doesn't fit a 14 cm wide/high box. 

[Kimo]

2 hours ago, Kimo said:

Yea. i just realized that when i want a hexagon to fit a size 140 mm box, it requires a hexagon with size 161,7 to fit. and i cant get it to connect lines from corner to corner, it pins it off with a few pixels. I honestly have to go back in illustrator, until this is fixed. which is a bit annoying, since all my Work are in affinity.  

In short. a 14 cm Hexagon, doesn't fit a 14 cm wide/high box. 

I... just realized my issue was caused because i hadn't converted it to curves. i still find it a bit weird i need to? but now resizing works. 
I still cant connect one line from one corner to another, it off my very little, but will not connect to the corners. 

[Alfred]

10 minutes ago, Kimo said:

I... just realized my issue was caused because i hadn't converted it to curves. i still find it a bit weird i need to?

The base box for a parametric shape such as a polygon needs to allow for adjustments to the parameters. All polygons will meet the top of the base box, but hexagons won’t meet the sides.

[Old Bruce]

On 5/19/2020 at 7:52 PM, Derek is not an artist said:

I created a hexagon using the pentagon tool, then switching "5" to "6" on the curve number. ... 

Easiest way is to choose the Polygon tool and set the number of sides to 6. Then start drawing while holding down the Shift key. This will give you a symmetric hexagon. On Mac if I hold down Command + Shift I can draw symmetric hexagons from their centres, not sure if it is available on Windows.

[Alfred]

36 minutes ago, Old Bruce said:

On Mac if I hold down Command + Shift I can draw symmetric hexagons from their centres, not sure if it is available on Windows.

That’s also available on Windows, but since there’s no Cmd key it uses the Ctrl key as a modifier. However, the base box for a regular hexagon is square (so it only touches the top and bottom vertices, not the left and right sides).

[R C-R]

2 hours ago, Kimo said:

I... just realized my issue was caused because i hadn't converted it to curves.

FWIW, you can avoid converting the hexagons to curves if you want to tile them in a honeycomb pattern with no gaps by drawing a temporary horizontal line with the Pen Tool that snaps to 2 of the edges of one of them. Then duplicate the hexagon & snap it to the intersection of the the end of the line & the top or bottom point of the one you are moving. Then select both hexagons, duplicate, & power duplicate to fill in the rest of the honeycomb.

honeycomb.afdesign has the history included so you can (I hope) more easily see what I mean.

[Old Bruce]

15 hours ago, Alfred said:

... However, the base box for a regular hexagon is square (so it only touches the top and bottom vertices, not the left and right sides).

The sides angles of the hexagon will all be equal, that is what I meant by symmetric.

EDIT: fixed angles not sides.