Re: [Origami] Are there exceptions to Maekawa's theorem?

[Robert Lang]

Thus spake "Origami on behalf of Jorge E. Jaramillo" 
 on 
7/28/19, 3:35 PM:



I think I remember having read somewhere that Maekawa's theorem about the 
flat foldability of the creases at a vertex having a difference of +-2 between 
mountains and valleys has exceptions but I've never come across any of them, 
except for vertices on edges.

So is it true about the exceptions?

Maekawa's Theorem applies only to vertices in the interior of a crease pattern, 
and only applies to flat-foldable patterns.

Also, is there a theorem about edge vertices?

There are theorems about edge vertices, but not ones that relate to the number 
of mountain and valley folds. It's easy to construct an edge vertex with any 
given number of valleys and mountains.

Robert 

[Origami] Are there exceptions to Maekawa's theorem?

[Jorge E. Jaramillo]

Hi O-list

I think I remember having read somewhere that Maekawa's theorem about the
flat foldability of the creases at a vertex having a difference of +-2
between mountains and valleys has exceptions but I've never come across any
of them, except for vertices on edges.

So is it true about the exceptions?

Also, is there a theorem about edge vertices?

Thanks.

-- 
Jorge Jaramillo


Libre
de virus. www.avast.com

<#DAB4FAD8-2DD7-40BB-A1B8-4E2AA1F9FDF2>

Re: [Origami] New book edition

[Sara Adams]

Hi Meenakshi,

those are fantastic news!
I checked German Amazon just now, but it doesn't seem to be available
there:
https://www.amazon.de/gp/offer-listing/0367208105/ref=tmm_pap_new_olp_sr?ie=UTF8&condition=new&qid=&sr=
Do you know whether it will become available there soon?

Best wishes and happy folding,

-- Sara

On Sun, Jul 28, 2019 at 8:31 AM Meenakshi Mukerji  wrote:

> I am happy to announce a new edition of my book *Wondrous One Sheet
> Origami*
> by CRC Press. The older edition was self published and the new one has
> about 40% new or revised material and is available to pre-order both in
> paperback as well as hardcover versions. CRC Press has given the book a
> beautiful new look with a lovely cover design and an interior that does not
> look like mere printouts.
>
> A preview of the content is in http://www.origamee.net/book5/index.html
>
> Pre-ordering is possible from the following, with CRC currently giving a
> discount of $5.99.
>
>
>
> https://www.crcpress.com/Wondrous-One-Sheet-Origami/Mukerji/p/book/9780367208103
> http://www.amazon.com/dp/0367208105?tag=meensmodumani-20 most other
> online bookstores.
>
> Thanks for all your support.
>
> Regards,
> Meenakshi
>
> --
> _
> My Modular Origami Galleries:  http://www.origamee.net
>