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Geometry WIN
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And how productive was YOUR day at the office?
I don’t even know how I would start
Yeah.
http://georgehart.com/sculpture/pencils.html
my first idea was to put all the vertical pencils in a circle. then put something heavy, like a book, on top, to keep them firm. then slowly add the diagonal pencils one by one.
I think it might be glued….I hope I’m wrong.
Platonic solids (google it) Octahedron, or it’s dual, the cube. Apart from that – um, yeah…. where do you start. I assume it’s glued – you can see some pencils are not held in by any other pencils.
I suppose you could get 2 pieces of cardboard and punch a circle of holes for the pencils – one piece of card for each end. This will hold your circle of pencils relative to each other. Then you get your second circle of pencils set up the same way, and slide it into the first. Put a drop of glue on each join and wait for it to dry. Then the third and fourth circle could either be set in place from one end, or each pencil slid in individually. Either way, I am thinking too much, aren’t I?
You can actually just start with three pencils in each group and build your way out. I did it with bamboo skewers and it was really easy. They do need to be held together with a rubber band on each end while working on it, but you can glue them when you are at the size you want.
It’s funny that this should show up again so soon as I was playing with this last week. I even thought about starting a blog up with my experiences making geometric constructions like this.
The four groups are pretty easy to place, really, so now I am trying to figure out what ten groups will look like.
A WAY easier way to start: Just arrange a few in a regular x y z orientation, say, 3 groups of 3×3, doesn’t really matter. Rubber bands help. Then put the three groups down on the table and push down. When these 3 groups push down and angle out, they make a bunch of hexagonal holes for the 4th group to fit into. Then it’s easy to move pencils around and make whatever pattern you want.
WHAT BLACK MAGIC IS THIS