Sea urchins by Meguro - 2x2 to 16x16
Posted: July 24th, 2010, 5:38 am
Meguro's Sea Urchin is one of my favorite models because of the unconventional yet effective method of achieving points. I sent him an E-mail a while back thanking him for the model, and he responded very nicely.
I first saw it at the 1994 Origami USA convention. I was very happy to find the diagrams on the internet:
http://hansbirkeland.150m.com/meguro1.htm
Anyway, I thought I'd amuse myself by folding his Sea Urchin with every even-numbered grid division up to 16, the model's actual grid number.
Here's how you figure out number of points:
These are the precreases for the 8x8 version.
[img]http://img.photobucket.com/albums/v191/ ... o8x8-1.jpg[/img]
The red dots make a 5 across, 5 down square, and the blue dots make a 4 across, 4 down square.
4 is half of 8. 5 is one more than half of 8.
So, the formula is (x/2)^2 + (x/2+1)^2.
A chart showing the number of points for all my urchins:
2x2 = 5
4x4 = 13
6x6 = 25
8x8 = 41
10x10 = 61
12x12 = 85
14x14 = 113
16x16 = 145
The 2x2, 4x4,
6x6, and 8x8.
[img]http://img.photobucket.com/albums/v191/ ... ro2468.jpg[/img]
The 10x10, 12x12,
14x14, and 16x16.
[img]http://img.photobucket.com/albums/v191/ ... 121416.jpg[/img]
I actually tried making a 32x32 once.... after 4 hours of folding a huge sheet and starting a little knot in the middle roughly an inch and a half wide, I stopped. I'll have to find 10 foot x 10 foot paper for that one.
But, I may work my way up starting at 18x18 (181 points) and beyond, probably stopping at 24x24 (313 points.) But each will take a very long time.
Has anybody else gotten into this model? I see Joseph Wu has made one, and pinched the points to get them thinner.
I first saw it at the 1994 Origami USA convention. I was very happy to find the diagrams on the internet:
http://hansbirkeland.150m.com/meguro1.htm
Anyway, I thought I'd amuse myself by folding his Sea Urchin with every even-numbered grid division up to 16, the model's actual grid number.
Here's how you figure out number of points:
These are the precreases for the 8x8 version.
[img]http://img.photobucket.com/albums/v191/ ... o8x8-1.jpg[/img]
The red dots make a 5 across, 5 down square, and the blue dots make a 4 across, 4 down square.
4 is half of 8. 5 is one more than half of 8.
So, the formula is (x/2)^2 + (x/2+1)^2.
A chart showing the number of points for all my urchins:
2x2 = 5
4x4 = 13
6x6 = 25
8x8 = 41
10x10 = 61
12x12 = 85
14x14 = 113
16x16 = 145
The 2x2, 4x4,
6x6, and 8x8.
[img]http://img.photobucket.com/albums/v191/ ... ro2468.jpg[/img]
The 10x10, 12x12,
14x14, and 16x16.
[img]http://img.photobucket.com/albums/v191/ ... 121416.jpg[/img]
I actually tried making a 32x32 once.... after 4 hours of folding a huge sheet and starting a little knot in the middle roughly an inch and a half wide, I stopped. I'll have to find 10 foot x 10 foot paper for that one.
But, I may work my way up starting at 18x18 (181 points) and beyond, probably stopping at 24x24 (313 points.) But each will take a very long time.
Has anybody else gotten into this model? I see Joseph Wu has made one, and pinched the points to get them thinner.