Voronoi tessellation

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scatter-plotted by random pen drops.

folded from hand-made abaca paper.

on display last weekend at UDLA, Santiago, Chile.

fdecomite, Natalia Ludmila, and 51 other people added this photo to their favorites.

1. Beautiful!!!

Take care,
Carlos N.

2. uff!
great

3. So here's the 64-cent question: would this method have worked if you had had any 4-way (or higher) vertices? Randomly chosen points have this disturbing tendency to come up with whatever degenerate condition you don't anticipate. (This drives computational geometers nuts.)

4. witty and thought-provoking. I wonder how you made the crease pattern to do this. I love it.

5. Oh wait! Clearly it *does* work. I missed the degree-4 vertex at low center. Now I want to see the other side even more than I did!

6. Great!

7. andy: it works for any intersection, although 4 or higher requires very specific circumstances (namely, the delaunay triangulation must have the encircling points form a regular polygon.)

interestingly enough the methodology here creates the crease pattern on the fly, no work was needed ahead of time to fold this. As I only did the easiest pleat assignment for this model, the back is rather dense, but taking the time to subdivide the pleats would yield a perhaps more pleasing visual display. Maybe I'll disassemble the work and do this for a future showing.

I'm hoping to do a nice write up on how the process works, with instructions and examples, so that's a project for the next few weeks.

fundamentally I think the model helps to show the folding method for any given pleat construct, I'm hoping to find some shortcuts to facilitate the use for general purposes.

-Eric

8. No, not annoying me, just confusing me :)

(I don't have the bandwidth to watch youtube videos so I had no idea what that was all about.)

You guys make me feel very old, though :P

9. Ah, I remember when you started thinking about this, seems like only yesterday....

Tell those youtubers to get off your lawn. Whippersnappers.

10. I know, it was over 5 years ago, I find it rather disturbing that I haven't moved the idea forward much in that time.

I was kind of busy, what can I say. :)

on the contrary, I wish they'd come sit on my lawn, and SHARE THEIR WIFI... outta luck here in the sticks.

11. There are few things as satisfying as circling back, years later, and being able to solve the design problems that stopped you dead before.

Let me know if you have trouble with your dial-up -- I used to be the king of modem strings.

12. I don't know how old you are, but age is nothing to worry about. It's kinnda funny how you grown-ups wanna be young and we kids wanna be old.

C'mon, it's for the sake of fun, and I´ve always thought of having funn as a good thing (I know the unwriten law of "dontcha dare get of the topic", but seriously).
Here, have some delicious Pudding.

13. axel, I don't want to be young again; no worries. However my flickr pages are not facebook, so I'd appreciate comments that are constructive or on topic, please.

Oschene gets a free pass to say whatever he wants because he's got enough wit for 5 mid-level 19th century New England authors to share between them...

14. Wonderful.

15. RedHeadOrigami [deleted] 28 months ago

It looks like you didnt use a normal grid.

16. there is no grid involved in this tessellation.

grids are only used as reference points, really; they aren't necessary or required to make a pattern. While they are useful they are also quite limiting.

this pattern is folded using a new technique that allows the folder to transcend normal tessellation boundaries.

17. RedHeadOrigami [deleted] 28 months ago

Thankyou.

18. I don't understand it but I love it! Looking forward to more.

19. COmo haces eso????? es genial!

20. Excellent and very nice Image
Stunning composition
amazing work!!

Bart

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