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Koch's snowflake-Ushio Ikegami

Posted: June 8th, 2012, 7:09 am
by Alexorigami
The diagrams are in Tanteidan convention 17. My question is: is this model the whole snowflake or only 1/6th of a snowflake?
If you look at the end of the diagrams, you can see a shape that would be exactly 1/6th of a Koch Snowflake.
I suppose you could change the question to this: is this model 1-piece or 6-pieces?
Thank you in advance.

Re: Koch's snowflake-Ushio Ikegami

Posted: June 8th, 2012, 7:49 am
by Falcifer
Actually, the last step of the diagrams show 1/3 of the snowflake. Which is what you make.

The Japanese beneath the image reads something like "Fold 3 pieces (in total) to complete the left and right corners".

Re: Koch's snowflake-Ushio Ikegami

Posted: June 8th, 2012, 8:01 am
by Alexorigami
Sorry for that, indeed it's 1/3rd.
Thank you for the translation, so it's modular.

Re: Koch's snowflake-Ushio Ikegami

Posted: June 8th, 2012, 8:28 am
by Falcifer
It's hard to tell without folding it, but I'm not sure if the pieces will join together. But each piece makes 1/3, so you will need 3 models to make a full snowflake shape.
Looking at the image from a previous Tanteidan when the CP was released, it looks like one sheet. It maybe be possible, though awkward, to fold it using a single sheet (cut to the appropriate shape). I'll have to give it a go and see how the pieces join and see if it can't be unfolded into a whole piece.

I'm also trying to translate the larger block of text, which describes adding more iterations.

As far as I can tell, the first paragraph reads;

After folding 2 iterations, then 3, you might want to try 4. However, the paper used in these diagrams is not large enough, so you have to add the paper as shown in the figure.

The second paragraph seems to be saying something along the lines of "Incidentally, I have been folding the design to fit into the corners of larger paper but I do not know whether it is possible to continue the iterations indefinitely because we don't know the angle between".

I feel like I'm mistranslating this part.

Re: Koch's snowflake-Ushio Ikegami

Posted: June 8th, 2012, 5:52 pm
by Falcifer
I did a quick fold of it last night, from one sheet, and it is possible. It was slightly more awkward as I thought it would be, but it's very possible. I was using A4 copy paper, though, so that didn't help.

The paper I used looked like this:

Image

The horizontal lines and the all of the intersections (unless I'm missing any) lie along the horizontal 10ths (top to bottom). All the creases are 30 and 60 degrees. I did use a ruler and pencil to mark to two outermost long creases. From there you can find everything else, I think.

I would also recommend folding the individual piece first so that you have a reference. Work slowly and pay close attention to the diagrams. Especially check the next step to see what it should look like.