My son and I are building a treehouse this summer. We are in the design phase right now. we have decided on an octagon shape for the main platform. It will encircle the tree.
My question is this: Now that we have decided that the radius of the platform will extend 8′ out from the tree, how do I figure out the distance between points(outside ends of each beam) ?
I have figured out the square footage of the platform, but I am not sure how to determine the length of the sides of the octogon.
I am trying to figure out how much wood will be necessary.
Replies
This should help you.
http://www.josephfusco.org/Calculators/Advanced_Box_Cutter.html
Look at half of each triangle making up the octagon as a right triangle where the angle opposite the side you want = 22.5* and the hypotenuse = 8'.
Solve (8)*Sine 22.5 = X
(8) 0.382499 = 3.01
2 * 3.01 = 6.11'
If your 8' is measured from the surface of the tree then you
ll have to add the radius of the tree to the 8', so if the tree is 36" dia then solve
(2)(8+1.5)(0.382499) = 7.3'
John O'Connell - JKO Handcrafted Woodworking
Life is tough. It's tougher if you're stupid - John Wayne
Lay it out on the ground and measure with a tape measure. If you don't already have the wood for the radial supports, take the tape and some chalk to a parking lot. Church parking lots are empty most of the week so there's lots of space to work. Once you have chalked the figure on the pavement, resist the temptation to inscribe satanic signs around the edges, as this is a poor use of consecrated ground.
Besides, the demons you can summon with an octagon are pretty small beer.
Not even that, if it's a Methodist parking lot.
Dave ,
Just for fun and some design ideas do a Google on "Out and About Tree Houses" located in S.W. Oregon . This guy is the guru on tree houses .
I've got a wonderful little book called The Backstage Handbook. One of the tricks it has under geometric shapes is how to draw regular geometric shapes (all sides equal in length) using chords (a chord is a line segment that touches the circumference of the circle twice). It includes a table of constants to help determine the length of the side of the polygon. Simply multiply your radius by the constant for the number of sides you want and that will give you the length of your side. Note, this is for a polygon inscribes inside a circle. I'll include some common ones for any body else who is interested.
No. of Side Constant
3......................1.732
4......................1.414
5......................1.175
6......................1.000
7......................0.8677
8......................0.7653
9......................0.6840
10....................0.6180
12....................0.5176
36....................0.1743
So if the radius you want is 8 ft, multiply 8*0.7653=6.1224ft.
Hope this helps and have fun with your tree house.
Datachanel
Doing things the hard way
Thanks for everyones input.
As soon as I have it (treehouse) finished I will post some pics.
Everyone should do a project like this with their kids. It has been a ton of fun so far and we haven't even started building yet!
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