pic: IRI winner's trophy [Archive]

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Andy Baker

12-07-2010, 16:44

[cdm-description=photo]35817[/cdm-description]

dodar

12-07-2010, 16:46

That is by far the best trophy I have ever seen, I think it even beats that other soccer trophy which will not be named...

Dkt01

12-07-2010, 17:00

Great idea for a trophy. Well done, too.

IKE

12-07-2010, 17:05

Should the winners be careful of any rubber feet on the bottom?

Very nice!

Foster

12-07-2010, 17:34

GoooooaaaaaaaLLLLL!

I can't wait to see it in person.

Akash Rastogi

12-07-2010, 18:28

Mark Koors is amazing.

Karibou

12-07-2010, 19:36

Ooo. That's pretty, very pretty. Great design, Mark.

I'd be scared of breaking it, though D:

sanddrag

12-07-2010, 19:43

I wouldn't mind seeing a pic of the inside, and what all those screws attach to.

Karthik

12-07-2010, 20:11

I wouldn't mind seeing a pic of the inside, and what all those screws attach to.

Same. Just using a bit of combinatorial geometry, my guess is that what you'll find is a webbing that is essentially the dual graph1 of the of soccer ball. Since a soccer ball (or Buckyball mathematically speaking) is a polyhedron of pentagonal and hexagonal faces with vertices of degree 3, the resulting dual will be a polyhedron with only triangular faces, with vertices of degree 5 and 6. These vertices look to be the insertion points of the screws.

All that being said, the webbing might be constructed differently than the perfect dual graph to allow for easier assembly and construction. Alas, what is perfect and elegant in the mathematical world, rarely works in the real world.

1. In graph theory, a dual graph of a given graph G is a graph which has a vertex for each plane region of G, and an edge for each edge in G joining two neighboring regions. This theory can be extending into 3D polyhedra geometry.

Chris Fultz

12-07-2010, 20:38

combinatorial geometry

essentially the dual graph1

a polyhedron of pentagonal

hexagonal faces with vertices of degree 3

a polyhedron with only triangular faces

vertices of degree 5 and 6

Karthik, please sit with me at IRI and explain what all of this means. I assume it is Canadian for "soccer ball"?

:)

Andrew Schreiber

12-07-2010, 20:50

Karthik, please sit with me at IRI and explain what all of this means. I assume it is Canadian for "soccer ball"?

:)

Actually, I had one of my roommates translate it.

I'm a nerd.

(Actually, I am wishing that the prof who was most familiar with graph theory wasn't off campus at the moment, I'm very curious too)

IKE

13-07-2010, 16:14

Same. Just using a bit of combinatorial geometry, my guess is that what you'll find is a webbing that is essentially the dual graph1 of the of soccer ball. Since a soccer ball (or Buckyball mathematically speaking) is a polyhedron of pentagonal and hexagonal faces with vertices of degree 3, the resulting dual will be a polyhedron with only triangular faces, with vertices of degree 5 and 6. These vertices look to be the insertion points of the screws.

All that being said, the webbing might be constructed differently than the perfect dual graph to allow for easier assembly and construction. Alas, what is perfect and elegant in the mathematical world, rarely works in the real world.

1. In graph theory, a dual graph of a given graph G is a graph which has a vertex for each plane region of G, and an edge for each edge in G joining two neighboring regions. This theory can be extending into 3D polyhedra geometry.

In layman's terms: Pretend the bolt heads are dots. Connect the dots. Some dots have 5 connections, some have 6. It makes a pretty cool shape made of triangles.

Andy Baker

13-07-2010, 17:16

Karthik

13-07-2010, 18:13

After ignoring much of the silliness of what was posted above, we just took a picture (http://www.facebook.com/editalbum.php?aid=177485&add=1&id=183701158229&flash=1#%21/photo.php?pid=4481790&id=183701158229&fbid=405736098229) of the ball without the blue glass pieces.

The inside structure is made from 2 polycarbonate hemispheres, each 1/16" thick.

Andy B.

(edit... on second thought, I could post something similar to Karthik's convoluted solution and said that we used some 7-axis CNC welding process to do this. But, I didn't. :) )

Sorry for injecting some interesting math (well, at least interesting to me) in to the discussion. In the future I'll restrict my posts to drivel like "OMG. That's sooooo cool!" :P

Anyways, here's a picture I found on the web that illustrates what I was talking about with the dual. (Found on a combinatorial geometry course website at Merrimack College)

http://kahuna.merrimack.edu/%7Ethull/combgeom05/bucky/soccerdual.gif

Clearly too complicated to fabricate, but still pretty cool. (Or just general ignorable silliness. :) )

JaneYoung

13-07-2010, 19:00

Sorry for injecting some interesting math (well, at least interesting to me) in to the discussion. In the future I'll restrict my posts to drivel like "OMG. That's sooooo cool!" :P

I thought it was great, Karthik. It's about time some of our younger members and some of our newer mentors had this opportunity to read some of your thoughts/thinking/posts.

And... I followed some of it so I know that people who understand/grasp math concepts much better than I do would appreciate it with a greater and deeper understanding.

Jane

Andy Baker

13-07-2010, 22:20

Clearly too complicated to fabricate, but still pretty cool. (Or just general ignorable silliness. :) )

Yes, this is clearly too complicated to fabricate. Or is it? (http://www.technokats.org/community-involvement/new-year-s-ball-drop/2008_ball.jpg?attredirects=0) Well, it's somewhat like Karthik's ball.

(see ya soon, Karthik - safe travels!)

Andy B.

Andrew Schreiber

13-07-2010, 22:31

I thought it was great, Karthik. It's about time some of our younger members and some of our newer mentors had this opportunity to read some of your thoughts/thinking/posts.

And... I followed some of it so I know that people who understand/grasp math concepts much better than I do would appreciate it with a greater and deeper understanding.

Jane

I can't agree more. That post was pretty awesome even though I got very confused. Thanks for the information Karthik.

Cynette

14-07-2010, 09:44

I just have to ask...are there any pieces that can fall off during the presentations? :o

Andy Baker

14-07-2010, 12:35

I just have to ask...are there any pieces that can fall off during the presentations? :o

This year's trophies have a special feature: the bottoms stay on. :)

Seriously, these are inherently fragile, since they are made of glass. So, it is possible for them to break. We are packing these up today, and each one will have it's own box and packing material so teams can have a bit of help being careful with them.

The anodized base plates just came in, and they look outstanding. Also, the medallions look great. I will post pics on the AM facebook page soon.

Andy

Andy Baker

14-07-2010, 14:39

Here is a new picture of the trophy (http://www.facebook.com/editalbum.php?aid=177485&add=1&id=183701158229&flash=1#!/photo.php?pid=4488418&id=183701158229&fbid=406016093229), with the name plate.

Also, here is a picture of the medallion (http://www.facebook.com/editalbum.php?aid=177485&add=1&id=183701158229&flash=1#!/photo.php?pid=4488417&id=183701158229&fbid=406016088229) that will be given out to individual award winners at IRI.

Thanks to Dave and Mike Hancock at Colors, Inc. (http://www.colorsinc.com/) for making the graphics look so great on these awards.

Andy B.

Roger

18-07-2010, 17:13

Yes, this is clearly too complicated to fabricate.It's always easy when you know how.

Hmmm... at this point I was going to add my own "soccer-head" hat photo, but it appears one can't attach photos to this thread. Which makes my request a little unpromising: Andy, could you post those other photos someplace other than Facebook? Some of us don't wish to connect to the world that way.

The awards do look good. Maybe with interior LEDs to make them sparkle?