02-28-2016, 04:21 AM

Hopefully what's below will enlighten y'all as to how I created the complex shapes in this project without having to rely on any serious math.

Drawing a hex

Your first decision is determining the length of the hex’s sides. Everything else will hinge on that number.

Doubling that length = the distance from point-to-point of the Hex.

To draw the desired hex you start with a pair of perpendicular lines with their intersection becoming the center point of the hex.

Centered on one of those lines you need to add a pair of parallel lines separated by the length of the hex’s side. These along with your center point and the other perpendicular line will be how you define your three point-to-point lines.

Drawing in the spokes only requires that you draw a line the same length as your hex’s sides from the center point to each of the parallel lines and along the perpendicular.

All you have to do now is connect the ends of your spokes and you’ve got your hex.

Making the angled facets of the prism

You need to define the length of the sides of the hexagon you're transitioning to. In my project the top hex had 1” sides and would widen out to a hex with 1.5” sides.

You also need to determine how much of an elevation change will be happening between the top and bottom. With a little Pythagorean Theorem action and basic algebra you can sort out how tall the sections need to be. Or you can skip all that silly math and just draw it out and measure the line connecting the two points and call it good.

So the sections require a top side 1” wide and the bottom side 1.5” wide and a height of about 0.7”. All you have to do is fill in the side angles by connecting the top and bottom end points.

When I scribed all this out on the foamcore all I had to do was draw two parallel lines 0.7” wide and alternate marking 1” and 1.5” lengths and connecting the dots. resulting in the pile of bits in the top left of this picture.

The interior angles can be quickly figured out by drawing them out using the 3/16” width of the foamcore. But as I mentioned before, the inside wasn’t going to be visible so I just winged it. I had the 1.5” hex drawn out and used it to guess at where to make my cuts. Once the 6 sides were glued together, I cut the bottom so that the outer edges sat flush on the table top.

So to sum up... If you draw it out, you won’t need to do anything beyond basic arithmetic and being able to read a ruler. I knew those industrial drafting classes I took in high school would pay off!

-DavicusPrime

Drawing a hex

Your first decision is determining the length of the hex’s sides. Everything else will hinge on that number.

Doubling that length = the distance from point-to-point of the Hex.

To draw the desired hex you start with a pair of perpendicular lines with their intersection becoming the center point of the hex.

Centered on one of those lines you need to add a pair of parallel lines separated by the length of the hex’s side. These along with your center point and the other perpendicular line will be how you define your three point-to-point lines.

Drawing in the spokes only requires that you draw a line the same length as your hex’s sides from the center point to each of the parallel lines and along the perpendicular.

All you have to do now is connect the ends of your spokes and you’ve got your hex.

Making the angled facets of the prism

You need to define the length of the sides of the hexagon you're transitioning to. In my project the top hex had 1” sides and would widen out to a hex with 1.5” sides.

You also need to determine how much of an elevation change will be happening between the top and bottom. With a little Pythagorean Theorem action and basic algebra you can sort out how tall the sections need to be. Or you can skip all that silly math and just draw it out and measure the line connecting the two points and call it good.

So the sections require a top side 1” wide and the bottom side 1.5” wide and a height of about 0.7”. All you have to do is fill in the side angles by connecting the top and bottom end points.

When I scribed all this out on the foamcore all I had to do was draw two parallel lines 0.7” wide and alternate marking 1” and 1.5” lengths and connecting the dots. resulting in the pile of bits in the top left of this picture.

The interior angles can be quickly figured out by drawing them out using the 3/16” width of the foamcore. But as I mentioned before, the inside wasn’t going to be visible so I just winged it. I had the 1.5” hex drawn out and used it to guess at where to make my cuts. Once the 6 sides were glued together, I cut the bottom so that the outer edges sat flush on the table top.

So to sum up... If you draw it out, you won’t need to do anything beyond basic arithmetic and being able to read a ruler. I knew those industrial drafting classes I took in high school would pay off!

-DavicusPrime