Following on form the discussion here:http://www.talkgraphics.com/showthre...ll-a-trapezoid, describe your best, quickest and most accurate way to draw a mathematical kite.
Acorn
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Following on form the discussion here:http://www.talkgraphics.com/showthre...ll-a-trapezoid, describe your best, quickest and most accurate way to draw a mathematical kite.
Acorn
you're killin' me man. didn't have time for "play" today but, like you, stuff like this draws me in :D:D
many ways to do a generic mathematical kite that is just visually correct by definition (from quick and easy to time-consuming and over-complicating the issue) BUT rather tricky if you're stipulating some of the dimensions like....
two sides must equal a certain given length, or a given length at a given angle, or two sides must be one given length and the other two another given length, or you have the two given angles only to design against, or...or....gaaaahhhh
i've got a couple of the iterations done from a quick generic one to a couple with specific lengths and/or angles that i set to design to but i can't ignore the kids any longer. gonna have to wait until tonight when they're in bed. i think i'm making your challenge more complicated than you were intending it to be....or are you that evil? :D :D :D :D
No - pure evil.
Acorn
Ok, after quick look at the wikipedia I created this. Not sure about the mathematical part, but at least it looks to be the right shape.
Thanks for a nice end result, but it is the how the Challenge is about.
Can you describe your steps?
Acorn
Basically I would do it like this.
This is how I would draw a kite.
with no size or angle dimensions specified here's my quickest and easiest generic kite that i could come up with
Actually I first draw it the same way as Mike Bailey, but then was fooled by the mathematical part of the description and chose that particular shape where the intersecting tangents of a circle can define another circle.
My claim is I have angle accuracy down to two decimal places with this approach;
Attachment 106857
Interesting how all the solutions are going for a vertical symmetry.
Acorn
This way is height and width accurate:
- Create two circles with 0 deg rotation, touching, different sizes and vertically aligned.
- Combine Shapes > Add Shapes.
- Switch to Shape Tool mode.
- Delete the middle point and either the two above or the two below.
- Select all remaining points and press L.
Attachment 106863
Acorn
Last one I can think of:
- Draw a vertical line.
- Draw a horizontal line.
- Place the vertical line as the bisector of the other (Snap to objects selected).
- Combine Shapes > Add shapes.
- Switch to the Shape Tool (F4).
- Press the Tab key until the selected node is at the bisector.
- Press the Delete key or Delete points icon.
- Repeat Steps 6 & 7 until a Kite is formed.
Acorn
I've tried this approach and cannot easily get the vertices to snap onto the cross. Can you do it consistently or is it by eye?Quote:
Originally Posted by Mike Bailey
Acorn
As XWD10(P) doesn't come with a "convert to Editable Shapes" I chose to Add Shapes together to make rectangles (or circles) editable shapes.Quote:
Originally Posted by mikeymopar
Definitely must use "squish" in future descriptions!
Acorn
I turn on snap to objects, I have no problem snapping to the end points of the cross. By the way the dimensions of the cross are in thirds. the horizontal line is 2/3 the length of the vertical line and is centered 2/3 of the distance from the bottom of the vertical line. This gives me a pretty nice looking kite. :)Quote:
I've tried this approach and cannot easily get the vertices to snap onto the cross.
Mike, thanks.Quote:
Originally Posted by Mike Bailey
What I think you are doing is going round making the points and then selecting each and snapping.
Have I cracked it? If so, then you're seems the winner.
Acorn
No, as I draw with the pen tool It snaps to the end points of the lines. My snap radi is set at the default, do you notice anything unusual in this image?Quote:
Have I cracked it?
Mike, never thought of the Pen Tool.
Xara Extreme?
Acorn
building on what you guys have done here is mine. I used the shape tool. I also added a center line and sliced. Just how mathematically correct it is I don't have a clue.
Attachment 106889
@Mike - that's roughly the best way i've found if you're trying to create a kite knowing the long lengths are, say, 100mm and the included angle is, say, 58 degrees.
draw a horizontal line 100mm.
ctrl+k and then in info bar change rotation point to left center and in info bar rotate the copy 29 degrees (1/2 of total) and stretch the length by grabbing to top right corner handle creating a long center reference line.
again ctrl+k the original line, change rotation point, rotate 58 degrees. you end up with an arrow shape.
then using shape tool and either of the lines, just add some random point from the end and then drag/snap the added point to the center reference line. then repeat again but then drag it to the origin creating a shape. (half of the kite)
delete the reference line.
repeat using the other line but now drag/snap the added end-point to the other new end-point and then again add and drag/snap to the origin.
now add the shapes. now you have a kite with the long sides equaling 100mm and the included angle of 58 degrees.
sounds complicated but it's not