Thread: Basic geometry instead of measuring?

And what, pray, has all the foregoing got to do with beer?

One or two (six-packs) under the belt make it easier to understand.

Well... not understand as such, but ya care less about not understanding.

Skew,
Speaking of 6-packs, I'm finishing one right now. I knew what you meant in your post. There's lots of ways to construct the golden rect. The one javali posted is quite direct. All I meant was that Ian's diagram does show you how to get the first one - it's just that the length and width are reversed from what you wanted. Just scale that one up or down as needed.
Here goes beer number 6
regards
Jim

Originally Posted by Skew ChiDAMN!!

One or two (six-packs) under the belt make it easier to understand.

Well... not understand as such, but ya care less about not understanding.

This might help Skew.

Gee Cliff are you needing somethin but too polite to tell us all?

I reckon ya orta get yer missus a boob job for father's day.

Or do yer just need a new tube of Silicon?

The other way to do it would be to scale a previously drawn golden rectangle to whatever size you want using its diagonal (see pic).

Off the topic of Golden mean etc, here are a couple of links to compass and ruler work for polygons.

http://en.wikipedia.org/wiki/Regular_polygon A really good animated sequence for drawing hexagons, octagons etc

http://raider.muc.edu/~ritcheam/Islamicart/sld019.htm geometry in Islamic art


Cheers,

To work out triangles and stuff try this site http://www.visualtrig.com
It calculates the angles, lengths, areas etc and draws the shapes so you can see whats going on.
The circle calculator http://www.visualtrig.com/circles.aspx is also pretty handy for working out circle bits and pieces

This is a great thread. (Now saved in my Favourites file). It's been said on several previous occasions but it bears repeating: the level of erudition and expertise amongst members of this BB is exceptional. Thanks, fellas! (Have a greenie, Skew, for starting the thread).

This is how I understand the golden thingo

Wongo
That's true but what you, I, and several others have missed is that Skew wants to know how to find X using just a ruler and compass (X , by the way = 0.618033989). Javali has presented the only workable option at this stage.

Ian

Yup.

By the time I've mucked about with calculations, etc. applying my rusty mathematical skills, I could already have the piece marked out with just the compass and ruler and no need for triple checking.

I wish the camera and I could agree on how to make vids; once I get it to see things from my point of view, I'll see about adding to the vid library. Perhaps.

Here's how to find the length of the unknown side:

known length/1.618... gives the necessary other length.

Oh, and if one ship can cross the Atlantic in 10 days, then 10 ships can cross it 1 day - Aaall vvvery iiinteresting aaa, bbbut yyyou ssshould rrread ttthe wwwhole ttthread - Ssskew's nnnot iiinterested iiin ttthe mmmath.