




Return-path: <origami-l@nstn.ca>
Date: Wed, 6 Dec 1995 18:23:48 -0400
From: slider@ims.mariposa.ca.us (Pat Slider)
Subject: Re: Interntain.com     ***Internet bookstore***

>I was searching in the following book store address, origami books and the
>result was more than 100 titles for sale.
>
>http://intertain.com/store/welcome.html
>
>
>No more comments..
>
>Juancarlos

But beware, you can't order on a secure line.  Another internet bookstore
that can provide a secure line is amazon.com.

pat slider





Return-path: <origami-l@nstn.ca>
Date: Wed, 6 Dec 1995 22:08:00 -0400
From: DBSH47B@prodigy.com (MRS. JANET J HAMILTON)
Subject: Re: book on bill folds?

-- [ From: Janet Hamilton * EMC.Ver #2.10P ] --

> On the subject, can anyone point me to the best sources for dollar
bill
> folds? I have a few here and there scattered in various books. Are
there any books
> dealing solely with this form?

The OUSA supplies list has the following books of money folds:

Caruba/Magic of Folding Money  $10.95
Cerceda/Folding Money Book  $6.50
Frenkil/Folding Money Volume 2  $10.95
Neale/Bunny Bill  $3.50
Origami USA/Making More with Money  $15.00

There are no ISBNs listed for any of these books.

Janet Hamilton





Return-path: <origami-l@nstn.ca>
Date: Wed, 6 Dec 1995 22:13:45 -0400
From: DBSH47B@prodigy.com (MRS. JANET J HAMILTON)
Subject: Re: About Quilting Origami

-- [ From: Janet Hamilton * EMC.Ver #2.10P ] --

> I just found out about the book about Origami quilting.....where is
it
> available.....this sounds like something that is right down my
> alley......Does OUSA have it available.  Dorigami

I just received today an updated supplies list from The Origami Source
(OUSA).  I think the book you are referring to is Origami Quilts by
Fuse.  The description says:

In Japanese.  48 models and variations of the most intricate and
ingenious flat designs; wonderful photos, many in color.  ISBN 4-480-
87261-2.  78 PP.  Paperback.  Intermediate to Complex.  #B20-325.
Price: $25.95.

Of course there is a 10% discount for OUSA members.

Janet Hamilton





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 09:00:50 -0400
From: Diane Kelly <kellyd@azstarnet.com>
Subject: Prayer Paper

A friend who also loves origami showed be a piece of art she did with
the traditional crane folded from Prayer Paper.  It was so lovely.

She said Prayer Paper is Japanese or Chinese - she wasn't sure - and
the tradition is to write a prayer on the paper and then to burn the
paper to send the message to the heavens.

Does anyone know:

ONE -- if prayer paper has been traditionally used for Origami? and

TWO -- the nature of this tradition.  Shinto?  What are the details?

Thank you all.  I realize although my interest in this is Origami, it
isn't actually an origami topic.





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 09:15:50 -0400
From: marmonk@eskimo.com (Mark Morden)
Subject: Fiskars paper cutter

A while back there was a discussion about apaer cutters.  Since I didn't pay
total attention to it I don't know if this topic was covered.  I was at an
Office Depot yesterday and noticed a paper cutter by Fiskars(or maybe it's
Fiskers).  Instead of having a hinged arm with a blade, this product had a
rolling blade on a fixed bar.  One advantage over a traditonal paper cutter
was that the paper edge being cut was clamped down so it couldn't drift as
the blade passed by.  It looks like a good product, but at $45 dollars I'd
like some consumer recommendations first.  Has anybody used this cutter
before and what is your opinion.  I haven't made out my Christmas list yet.
If this is a quality product, it might qualify.

Thank you in advance.

Mark

Mark Morden == marmonk@mail.eskimo.com
--------------------------------------------------------
I believe in Christianity as I belive in the rising sun;
not because I see it but by it I see all else.
                                           C.S. Lewis





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 10:13:28 -0400
From: Steve Marsh <marsh@anvil.nrl.navy.mil>
Subject: Framed portrait billfold (Santa Bills)

Hi! I did look this fold up, which is a 3-D frame around the face in the center
of US currency bills (perfect for those Santa bills!). It was created by Gay
Merrill Gross and was in the 1985 FOCA convention book. It may have appeared in
a book since then. I'm aware that she has published one or more books but
haven't seen them.

In any case, this is a really neat fold. Dare I try to explain it here? Would
that be OK? [thinks...] Well, with all due credit to Gay, here goes:

1) Make a vertical valley fold about 1/8" to the left of the oval containing the
George (or Santa, or Abe) picture. Leave the short flap covering the face.

2) Fold the top and bottom edges of this flap to meet at the centerline of the
bill, squashing 2 triangles at the left. The right edges of these triangles
should be vertical.

3) Fold the very left edge of the triangles in to this edge, creating a vertical
valley fold across the middle of these triangles. Unfold. Make a vertical valley
fold along the right edges of these triangles by folding the rectangular flap
covering the face to the left.

4) Repeat steps 1-3 on the right side of the bill. You should have a square
region with slanted corners containing the face portrait, and two rectangular
flaps extending from the sides.

5) Valley fold the top part of the center square (a trapezoid) along the line
defined by the top edge of the rectangular flaps, and unfold. Fold the very top
edge down to this line, creating a horizontal crease along the center of the
trapezoid, and unfold.

6) Repeat step 5 on the bottom of the model.

7) Pull the rectangular flaps apart, forming a 3-D box around the face. Collapse
this box flat by creasing the existing folds along the center of each side in
towards the center of the model. Collapse the corners using small triangles. You
should now have a flat frame around the face with 2 flaps extending from the
sides.

8) Fold the flaps behind the model, even with the edges of the center frame.
Tuck one inside the other to lock.

9) Pull the outside edges of the frame apart at the top to make it 3-D. Repeat
at the bottom edge. Pinch the ends from the inside to round off the sides of the
frame and lock the top and bottom.

That's it!! Again, all credits to Ms. Gross, and I *hope* I didn't violate any
copyrights or offend anyone by posting these instructions. It is just a great
fold, and I don't know if it is available elsewhere...

----
  Steve Marsh  <marsh@anvil.nrl.navy.mil>   $^)





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 11:04:02 -0400
From: dzimm@nando.net (David Zimmerman)
Subject: Re: Fiskars paper cutter

"> Mark Morden wrote ..."
>
> Fiskers).  Instead of having a hinged arm with a blade, this product had a
> rolling blade on a fixed bar.  One advantage over a traditonal paper cutter
> was that the paper edge being cut was clamped down so it couldn't drift as
> the blade passed by.

I have this cutter, but I don't like much. The cutter rolls on a rubber
mat, not over an edge, so it's difficult to tell where it's going to cut.
It has also prooven difficult to cut consistently. Where the cutter ends up
depends on exactly how you bear down on the handle for the cutter. At $45
it's very cheap, but I don't think it's worth it for our cutting needs.

--
David P Zimmerman             dzimm@nando.net
916 Riderwood Ct               919 557 7692
WillowSpring NC 27592           D-17293

"I don't know if I  can come again - or if I can solve for x in even the
most basic of equations, of the form 2x = y, for example.  But I
digress".  She looked me in the eye and said "Let me worry about that".
                                                                - RICHH





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 11:46:51 -0400
From: Lisa.Hodsdon/School/hmco@Owl.nstn.ca
Subject: Re: Origami records Update

jon.pure (John Smith) asked:
>Longest jump by an origami frog?

>    Anyone have an idea for this.

Well, I doubt very much that this is the *longest* jump, but it may be one
of the better documented:

Under controlled conditions (flat surface of paper over hard wood floor and
no draft) 74.7 cm by a variation of the American Jumping Frog by Kennedy
published in a FOCA annual (1992?). The frog was folded out of a 15 cm square
 of white photocopy paper with the grain of the paper from top to bottom at
step 1
of folding. (length of folded frog was approximately 5.5 cm.) I did not record
the
date, but it was in April, 1994. Excluding this jump, this particular frog had
a
mean jump length  of about 30 cm.

Those of you who have been around for a while may remember my frog jump
project for a statistics class. For those of you who weren't here, you may be
interested in knowing that I scientifically demonstrated that for this
particular
frog model folded out of photocopy paper, the orientation of the paper grain
does
not significantly affect jump length.

Lisa_Hodsdon@hmco.com





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 12:17:14 -0400
From: Jeannine Mosely <j9@concentra.com>
Subject: more about the origami sponge

Here are some more thoughts on building the depth 3 Sierpinksi sponge
from business cards.  Delete now, if you're bored.

        -- jeannine mosely (j9@concentra.com)

I have been doing little prototyping tasks at home.  The problem is
this: the object can either be built by adding one cube at a time, or
by building subassemblies and combining them.

I am working on a depth 2 sponge by adding one cube at a time. I am 20
percent of the way done, and I estimate it will take me 20 to 30 hours
to finish.  This means the depth 3 sponge would be a 400 - 600 hour
project.  I could conceivably do this by myself if I were sufficiently
obsessive.  It would take a few years, in view of the fact that I DO
have a life (contrary to popular belief).

Many folders could still help by precreasing the units and as the
structure got larger there would be room for perhaps as many as 4
people to work on it simultaneously, but the assemblers would still be
the major bottle-neck, since assembly seems to take half the time,
perhaps more. This means that it couldn't be finished at the OUSA
convention.

Figuring out subassemblies that can be linked after they are built is
tricky.  Building level 1 sponges is easy and takes about an hour.
But you cannot just pretend that they are simple cubes and link their
faces to make a level 2 sponge, because each face of a level 1 sponge
has 8 cubes which would have to be linked simultaneously with their
neighbors.

Here is another approach. A depth n sponge is just an assembly of 20
depth n-1 sponges.  Eight of these are "corner" sponges and 12 of them
are "edge" sponges.  We'll make 8 subassemblies that are made of a
corner sponge with portions of their 3 adjacent edge sponges attached.

A sponge of any depth has an odd number of layers. None of the cubes
in the middle layer touch any of the other middle layer cubes.  This
makes it possible to join two halves of a sponge by building the
middle layer between them one card at a time. You may well ask, can
you get your hands into the narrow spaces necessary for building the
mid-layers that link the assemblies?  I have built portions of the
structure and verified that it is possible.

So here's what we do. Build a level 1 sponge. Choose 3 of its faces
that share a common corner.  On each of these faces build, by adding a
cube at a time, half of a level 1 sponge (just a ring of 8 cubes).
Make 8 of these.  Join them as described above.  Now we have a level 2
sponge. Choose 3 of its faces that share a common corner.  On each of
these faces build half of a level 2 sponge (just a ring of 8 level 1
sponges).  Make 8 of these.  Join them as described above.  Now we
have a level 3 sponge.

I know that all this is a little confusing, but I know that some of
you will understand this.  I am working on more complete instructions
and diagrams.

By the way, a level 4 sponge would require almost a million cards and
weigh over a ton.  I do not believe it could support its own weight.
So level 3 is the biggest sponge we can hope to build.





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 14:44:44 -0400
From: Doug Philips <dwp+@transarc.com>
Subject: Re: Fiskars paper cutter

In message <199512071315.FAA27400@mail.eskimo.com> Mark Morden wrote:
+Office Depot yesterday and noticed a paper cutter by Fiskars(or maybe it's
+Fiskers).  Instead of having a hinged arm with a blade, this product had a
+rolling blade on a fixed bar.  One advantage over a traditonal paper cutter
+was that the paper edge being cut was clamped down so it couldn't drift as
+the blade passed by.  It looks like a good product, but at $45 dollars I'd
+like some consumer recommendations first.  Has anybody used this cutter
+before and what is your opinion.  I haven't made out my Christmas list yet.
+If this is a quality product, it might qualify.

I have seen one, but never used on.  I have a different brand that looks to be
much sturdier.  Rotary style are definitely superiour to guillotine style, but
good paper cutters are very expensive.  I think Rotatrim is the top of the
line.  I got my rotary cutter a while go and I'd never go back.  I got one
that can cut from a sheet about 12" wide.  The only problem with it is that
it isn't wide enough!  The wider the cutter the more expensive because the
harder it is to keep the cutter straight.  $45 may seem like a lot, but it is
about the cheapest rotary you are going to get, and if it suits your needs...

-Doug





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 15:08:49 -0400
From: "BOB T. LYNCH" <blynch@du.edu>
Subject: Re:  Fiskars paper cutter

All -

I don't know about Fiskar's paper cutters, but I know they make some excellent
scissors! (they're expensive, too!) I have several friends that are into
sewing and they swear by their Fiskar's!

Dee





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 15:13:27 -0400
From: John Smith <jon.pure@paston.co.uk>
Subject: Re: St. Petersburgh Convention.

At 23:28 05/12/95 -0400, you wrote:
>Dear John, My cousin in St. Petersberg just sent me an article by Sergei in
>their local newspaper....It is to be a series.  The diagrams are good and I
>was able to follow them.  The directions were in Russian but my cousin
>translated them......I may be interested in going....can you give me more
>information.>

The convention is titled Origami and Education and will be held in the
school N.513 where Sergei Afonkin teaches, on the 23-24 March 1996, it is
organised by the St. Petersburgh Origami Centre (chairman Sergei), phone
(812) 583-80-15, E-mail sergei@origami.spb.ru. The date is the beginning of
the spring vacation and the whole school is available for the convention. I
am afraid that is all the information I have at the moment. Snail Mail can
reach Sergei via Finland as the direct mail to Russia is slow and uncertain.
Sergei speaks excellent English by the way.

address to
 IVO International Ltd, Pietarin Edustuso, 01019 IVO Finland, Tatiana
Khliamova (for Sergei)

hope this helps John.
John Smith
Norwich
England
e-mail  jon.pure@paston.co.uk





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 15:17:33 -0400
From: John Smith <jon.pure@paston.co.uk>
Subject: One crease models

I have got carried away with the idea of one fold(or rather crease) models
after Joseph Wu's epic. I have invented 4 new ones and if anyone would like
a UUE of a GIF file (one page of diagrams) let me know. Now I am wondering
about attempting more two fold/crease models from a square.
John Smith
Norwich
England
e-mail  jon.pure@paston.co.uk





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 15:18:40 -0400
From: Gretchen Klotz <gren@agora.rdrop.com>
Subject: Re: Prayer Paper

On Thu, 7 Dec 1995, Diane Kelly wrote:

> A friend who also loves origami showed be a piece of art she did with
> the traditional crane folded from Prayer Paper.  It was so lovely.
[...]
> Does anyone know:
[...]
> TWO -- the nature of this tradition.  Shinto?  What are the details?

I know of the tradition of writing prayers on special paper and then
burning the paper through Tibetan Buddhist practices, although it is an
ancient tradition common to many religions world-wide, particularly
throughout Asia.  The paper your friend used probably does come from one
particular tradition, but she would have to tell you which one.  Definite
possibilities include:  Shinto, Confucianism, Buddhism (any branch) and
Hinduism.

- Gretchen, with credit also to my well-read partner





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 16:40:17 -0400
From: A004773%LBVM1.profs@lbgwy.mdc.com
Subject: n pointed stars from n rectangles

   Constructing an n-pointed star from n rectangles

   First I'll outline the folding process without mentioning how to
   obtain the proper width-to-length ratio for the rectangle or what the
   related angles are, and then I'll show how to determine the values
   required.

   1. start with a rectangle, long side horizontal, and name the four
   corners as:
          A = upper left corner
          B = upper right corner
          C = lower right corner
          D = lower left corner

   2. valley fold diagonal DB, lower left to upper right.

   3. now you have a two-peaked fold that has 90 degree angles for
      the peak angles.

   4. valley fold the original right edge BC over to the original
      lower edge CD, using angle ? at C.

   5. turn the rectangle over left-to-right and do step 4 to the
      new right side AD.

   6. now you should have a two-peaked form that has ? degree angles
      for the peak angles.

   7. fold n more of these units.

   8. assemble the n units into a n-pointed star by overlapping a flap
      folded in step 4 with a flap folded in step 5 from another piece
      using the pockets to hold the flaps.

   Now, to the task of working out the proper values for an n-pointed
   star.  As an example I'll use n=5 for a five-pointed star.

   A1. to produce an n-pointed star, you need to determine the central
       angle which adjacent points of the star make with each other:
          theta=360/n, in our example, n=5 so theta=360/5=72 degrees.

   A2. to determine the rectangle aspect ratio (width:length) to be used
       you must compute phi=(180-theta)/4, in our example this would be:
          phi=tan(180-72)/4=27 degrees.

       The rectangle's aspect ratio (width:length) is one : the inverse
       of the tangent of phi or w:l=1:1/tan(phi), which in our example is
       w:l=1:1/tan(27)=1:1.96, or in other words the length of the
       rectangle is 1.96 times the width.

   A3. next we determine the angle needed in folding step 4, which is the
       complement of the angle at the star's point, alpha.

       Alpha can be shown to be twice phi, the angle found in step A2.  So
       in our example, alpha=2*27=54 degrees.

       The angle needed in folding step 4 is the complement of alpha, or
       90-alpha, in our example, 90-54=36 degrees.

       The angle mentioned in folding step 6 is alpha, in our example 54
       degrees.

   Here's a table of the values mentioned above for several stars:
   Here's a table of the values mentioned above for several stars:

    number    360/n  (180-theta)/4  1:1/tan(phi)
   of points   or        or            or
     n        theta     phi           w:l          comments
   ---------  -----   ------------  -----------   ------------------
     3         120       15           1:3.73
     4          90       22.5         1:1+sqrt(2)   U.S. dollar bill
     5          72       27           1:1.96
     6          60       30           1:sqrt(3)
     7          51.4     32.14        1:1.63
     8          45       33.75        1:1.5
     9          40       35           1:1.43
    10          36       36           1:1.38
    11          32.7     36.825       1:1.34
    12          30       37.5         1:1.30

   I've verified the values for n=4, 5, 6, and 7, and I've found simple
   geometric landmarks for the folds for n=4 and 6.

   The diagonals of each rectangle meet in the center of the star.  For n
   less than 5 there will be overlap that can be handled by a little extra
   folding.

   In the case of n=4 the center is a bit three dimensional, but seems to
   be acceptable as is.

   For n=5 and n=6 the center is flat and tight creating good stars.

   For n greater than 6 the diagonals do not meet in the center, but form a
   small polygon around the center, causing the star to be loose.  I have not
   yet found a good Origami solution to this, but a small Origami meteor (as
   in "spit ball") of foil will keep the diagonals in place and add color.

 John Andrisan
 IBMMAIL: USMCDQND   Internet: a004773%lbvm1.profs@mdcgwy.mdc.com





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 16:42:45 -0400
From: David Vaules <dvaules@BBN.COM>
Subject: Re:  Paper/Book sources in DC/Baltimore area

Hello,
I am in the process of making X-mas ornaments and was going through my old
origami messages and found your reference to "Chasselle" in Columbia.
Being my home ground, currently, I was wondering where they are located.
(Tried information, they had no listing).
                              Thanks!
                              David Vaules Jr,





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 16:51:36 -0400
From: A004773%LBVM1.profs@lbgwy.mdc.com
Subject: Sierpinski origami

 I think you have given new meaning to the term "obsessive-compulsive".

 John Andrisan
 IBMMAIL: USMCDQND   Internet: a004773%lbvm1.profs@mdcgwy.mdc.com





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 18:17:53 -0400
From: Nick Robinson <nick@homelink.demon.co.uk>
Subject: Origami frog records Update #1

I recall a fabled convention in Bormingham where a frog leapt 12 foot
in the air. That *must* be a record.

Nick Robinson





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 18:19:14 -0400
From: Nick Robinson <nick@homelink.demon.co.uk>
Subject: Origami frog records Update #2

It did have a metal spring inside it though ;)

Nick Robinson





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 19:43:38 -0400
From: CM317@aol.com
Subject: Re: One crease models

i WOULD LIKE THEM





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 22:29:14 -0400
From: DBSH47B@prodigy.com (MRS. JANET J HAMILTON)
Subject: Re:  Paper/Book sources in DC/Baltimore area

-- [ From: Janet Hamilton * EMC.Ver #2.10P ] --

> I am in the process of making X-mas ornaments and was going through
my old
> origami messages and found your reference to "Chasselle" in Columbia.
> Being my home ground, currently, I was wondering where they are
located.
> (Tried information, they had no listing).

Here's the last info I had:

Chaselle, Inc.
9465 Gerwig Lane
Columbia, MD 21046

Janet Hamilton





Return-path: <origami-l@nstn.ca>
Date: Thu, 7 Dec 1995 22:44:17 -0400
From: Joseph Wu <jwu@cs.ubc.ca>
Subject: Re: Prayer Paper

On Thu, 7 Dec 1995, Diane Kelly wrote:

> A friend who also loves origami showed be a piece of art she did with
> the traditional crane folded from Prayer Paper.  It was so lovely.
>
> She said Prayer Paper is Japanese or Chinese - she wasn't sure - and
> the tradition is to write a prayer on the paper and then to burn the
> paper to send the message to the heavens.
>
> Does anyone know:
>
> ONE -- if prayer paper has been traditionally used for Origami? and
>
> TWO -- the nature of this tradition.  Shinto?  What are the details?
>
> Thank you all.  I realize although my interest in this is Origami, it
> isn't actually an origami topic.

What did your friend's Prayer Paper look like? If it was white, it is
probably Shintoist. If it was very thin and in many different colours, then
it was probably what is know in the west as "Chinese joss paper". (Where
the name comes from, I don't know, since it's not possible to say "joss"
in Chinese.) Joss paper also comes in a beige colour with a thin layer of
foil (gold, usually) in the middle of one side. Joss paper is used in
chinese funary rites to make folded representations of the small gold
ingots that used to be used as money in China. These were burned to supply
dead ancestors with money to use in the afterlife. The tradition is a
mixture of Confucianist and Taoist beliefs.

Joseph Wu  <jwu@cs.ubc.ca>  <http://www.cs.ubc.ca/spider/jwu/origami.html>
Approach life like a voyage on a schooner. Enjoy the view. Explore the vessel.
Make friends with the Captain. Fish a little. And then get off when you get
Home.                                                     --Max Lucado





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 02:14:31 -0400
From: star@redshift.com (Star Reierson)
Subject: Paper cutters

Like many of you, I have tried a variety of cutters.   The one I prefer now
-- over guillotine and roller --  is one my Dad found in a camera store.  It
uses a single-edge razor blade held at just the right angle when you push
and drag a button "down" the length of the paper held in its "throat."   It
is used to trim photos so it's not appropriate for sizes over about 14" or
THICKer than photographic paper but it is highly accurate, easy to set up
(only 4" wide), and easy to keep sharp by reversing/replacing the blades.  I
keep it hanging on a wall, over a waste basket to catch the trimmings.  My
Mom -- who clips lots of newspaper articles -- bought me 10" blade scissors
for my high school graduation.  They work but the paper can skew so I prefer
the photo trimmer.

The brand name on mine says "Falcon" print trimmer.  Happy folding and trimming!





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 03:14:21 -0400
From: Penny <Penny@sector.demon.co.uk>
Subject: UUE Christmas ornaments

Well the tree will be up soon, and I need some new ideas, if anyone has any they
can either UUE to me or tell me I would be really pleased!

The snow has settled today so I feel Christmassy!

Penny

------------------------------------------
Penny Groom                :(  Membership Secretary
                           :)  British Origami Society
penny@sector.demon.co.uk





Return-path: <origami-l@nstn.CA>
Date: Fri, 08 Dec 1995 04:49:48 -0400
From: gjones@yeti.polarnet.COM (gj)
Subject: Re: Folding thirds.

>Now, if only I had a similar method for trisecting angles!  (Darn that Jeff
>Beynon... too many of his models start with trisected angles!)
>
>-Doug

Excuse the input from a number theorist, but as I remember my elementary
geometry if you divide the side opposite the angle into thirds and then
connected those points with the angle wouldn't that trisect the angle?  Now
you know why I am a number theorist :-)

good luck -- gj





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 08:37:58 -0400
From: Fred Curtis <fred@zip.com.au>
Subject: Re: Folding thirds.

gj wrote:

> Excuse the input from a number theorist, but as I remember my elementary
> geometry if you divide the side opposite the angle into thirds and then
> connected those points with the angle wouldn't that trisect the angle?

No way, except for one *extremely* small angle :).

Refutation by appeal to esoteric knowledge:
  It's possible to trisect a length using compass and straight-edge;
  therefore your method is also a classical construction, and
  arbitrary angle trisection via classical methods is known to be
  impossible.

Refutation by counter-example:
  Consider a triangle with angles 178, 1 & 1 degress; trisect the
  178 angle using your method and you end up with one very large
  and two very small angles.  The idea of trisections is to trisect
  something into three *equal* smaller somethings :).

Refutation by appeal to Lewis Caroll:
  What I tell you three times is true.

> Now you know why I am a number theorist :-)

Indeed :).  I have this wonderful geometric proof of pi's
rationality for sale - you might be interested :).

Cheers,
-Fred Curtis.
--
"[MRI is] imaging for the masses.  Soon every Tom, Dick and Harry with a
 big magnet is going to be doing psychological activation studies", says
 one prominent PET specialist.  --  New Scientist 7 Jan 1993, p. 33.





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 10:33:05 -0400
From: "Andrew P. Anselmo" <anselmo@ERXSG.rl.plh.af.mil>
Subject: X-wing fighter from Star Wars

Hi all-

I usually do my folding at home or in the Someday Cafe, in Davis
Square (in Somerville, MA).  Recently, I saw someone else's creation
(which looked like an X-wing fighter from Star Wars).  Does anyone
know if this has been diagrammed at all?  I checked V's index,
but I didn't see it (cat ORIMODEL.TXT | grep -i wing | grep -i star)

I modified it slightly, to add the 'engines' on the wings.  I
put a GIF image of it on my http server; you can see it at:

http://thermsa.eng.sunysb.edu/~anselmo/origami/x-wing.gif

I may diagram it, I may not.

Any clues to its original creator?  If I do diagram it, it's going
to be 'Anonymous, with additions by A. Anselmo', unless someone
comes forward!

It's relatively simple, BTW, as I'm sure you can see from the picture.

A.

--
------------------ Andrew P. Anselmo - NRC Research Associate -----------------
anselmo@erxsg.rl.plh.af.mil                     Rome Laboratory RL/ERXE
Voice: 617-377-3770, 617-377-4841               80 Scott Drive (Bldg. 1128)
  Fax: 617-377-7812, 617-377-2300               Hanscom AFB, MA 01731-2909, USA
  WWW: http://thermsa.eng.sunysb.edu/~anselmo/anselmo.html
-------------------------------------------------------------------------------
           OFFICIAL U.S. GOVERNMENT SYSTEM FOR AUTHORIZED USE ONLY

DO NOT DISCUSS, ENTER, TRANSFER, PROCESS, OR TRANSMIT CLASSIFIED/SENSITIVE
NATIONAL SECURITY INFORMATION OF GREATER SENSITIVITY THAN THAT FOR WHICH THIS
SYSTEM IS AUTHORIZED. USE OF THIS SYSTEM CONSTITUTES CONSENT TO SECURITY
TESTING AND MONITORING. UNAUTHORIZED USE COULD RESULT IN CRIMINAL PROSECUTION.





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 13:58:28 -0400
From: Olga Sakhina <sakhina@Trenton.EDU>
Subject: Re: Paper/Book sources in DC/Baltimore area

Thank you for your interesting message.  I am a new member of this
discussion group and I am excited about it.

Thanks.

Olga Sakhina
Trenton State College
Trenton, NJ  08650-4700
Sakhina@Trenton.edu





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 14:40:22 -0400
From: Nick Robinson <nick@homelink.demon.co.uk>
Subject: n pointed stars from n rectangles

                   over my
Boy did this go way         head!

Thanks anyway!

Nick Robinson

ps. all: check the BOS home page for details of upcoming conventions...





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 17:38:59 -0400
From: Jennifer Andre <JAndre@cfipro.com>
Subject: Re[2]: Origami records Update

     Okay, so I'm a nosey-newcomer...

     We used to make jumping frogs in grade school.  We made them out of
     any scrap of paper we could find, most often it was standard notebook
     paper.  We found that the smallest frogs jumped the
     furthest/highest...we were just pleased with ourselves if they jumped
     at all!

     My mom has never had the patience for origami (she seems to think it
     takes a saint to do most artistic expression...), but she has always
     loved the jumping frog model!

     It's Friday here!  (I just like mentioning that!)

      - An American

______________________________ Reply Separator _________________________________
Subject: Re: Origami records Update
Author:  origami-l@nstn.ca at Internet
Date:    12/8/95 1:07 PM

jon.pure (John Smith) asked:
>Longest jump by an origami frog?

>    Anyone have an idea for this.

Well, I doubt very much that this is the *longest* jump, but it may be one
of the better documented:

Under controlled conditions (flat surface of paper over hard wood floor and no
draft) 74.7 cm by a variation of the American Jumping Frog by Kennedy
published in a FOCA annual (1992?). The frog was folded out of a 15 cm square
 of white photocopy paper with the grain of the paper from top to bottom at
step 1
of folding. (length of folded frog was approximately 5.5 cm.) I did not record
the
date, but it was in April, 1994. Excluding this jump, this particular frog had
a
mean jump length  of about 30 cm.

Those of you who have been around for a while may remember my frog jump
project for a statistics class. For those of you who weren't here, you may be
interested in knowing that I scientifically demonstrated that for this
particular
frog model folded out of photocopy paper, the orientation of the paper grain
does
not significantly affect jump length.

Lisa_Hodsdon@hmco.com





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 17:39:27 -0400
From: "BOB T. LYNCH" <blynch@du.edu>
Subject: decoding gif stuff

hmmmm - I hate to show my ignorance here, but I have gotten several GIF files
lately. All I get on my monitor is garbage - pages of symbols. I am assuming
that these have to be decoded somehow... how? Is it doing me any good by
saving the garbage? Or is it just taking up disk space? If I have the right
software does it get decoded automatically? What software is it? I am not a
computer person (witness the questions and the fact that I trashed Windows a
couple of months ago), so I'd appreciate simple answers! Sorry for the non-
origami stuff, but I am really curious to see all this stuff!

Dee





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 18:05:38 -0400
From: Jennifer Andre <JAndre@cfipro.com>
Subject: Re: Prayer Paper

     To the author of this interesting note:

     I'd love to learn the answers to these questions.  They're about the
     places where origami originated, therefore, you have your connection.
     No complaints here! :-)

     Do not fear that any paper-related question is too far away from
     origami.  The Japanese word for "paper" is "kami" -- and so is the
     word for Shinto gods.  (They're written differently, but they sound
     the very same!)  "Kami" becomes "-gami" for better sound when we say
     "origami" -- literally "folding paper" in Japanese.

     **I'd like to add a third question:  Would it be sacriligious to use
     this prayer paper for artistic purposes?**

     (One of my favorite scary movies features a man who gets in *big*
     trouble with a Voo-doo god for stealing sacred music for use in a
     nightclub gig. -- "Doctor Terror's House of Horrors" with Peter
     Cushing and Christopher Lee.)

     Fold, fold, fold!

______________________________ Reply Separator _________________________________
Subject: Prayer Paper
Author:  origami-l@nstn.ca at Internet
Date:    12/8/95 1:14 PM

A friend who also loves origami showed be a piece of art she did with
the traditional crane folded from Prayer Paper.  It was so lovely.

She said Prayer Paper is Japanese or Chinese - she wasn't sure - and
the tradition is to write a prayer on the paper and then to burn the
paper to send the message to the heavens.

Does anyone know:

ONE -- if prayer paper has been traditionally used for Origami? and

TWO -- the nature of this tradition.  Shinto?  What are the details?

Thank you all.  I realize although my interest in this is Origami, it
isn't actually an origami topic.





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 18:09:38 -0400
From: Jennifer Andre <JAndre@cfipro.com>
Subject: Re: decoding gif stuff

     Dee--

     It may be because of the way my e-mail is set up, but I find that I
     can read ".GIF" files through a program called "HiJaak."

     I'm sure if I'm entirely misguided about this, the real techies
     amongst us will not hesitate to point out this particular item.

     ;-)

______________________________ Reply Separator _________________________________
Subject: decoding gif stuff
Author:  origami-l@nstn.ca at Internet
Date:    12/8/95 1:41 PM

hmmmm - I hate to show my ignorance here, but I have gotten several GIF files
lately. All I get on my monitor is garbage - pages of symbols. I am assuming
that these have to be decoded somehow... how? Is it doing me any good by
saving the garbage? Or is it just taking up disk space? If I have the right
software does it get decoded automatically? What software is it? I am not a
computer person (witness the questions and the fact that I trashed Windows a
couple of months ago), so I'd appreciate simple answers! Sorry for the non-
origami stuff, but I am really curious to see all this stuff!

Dee





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 22:20:45 -0400
From: gjones@yeti.polarnet.com (gj)
Subject: Re: Folding thirds.

>Indeed :).  I have this wonderful geometric proof of pi's
>rationality for sale - you might be interested :).
>
>Cheers,
>-Fred Curtis.

Duhh, What!! you mean pi isn't equal to 22/7?  Don't laugh too hard folks,
I was taking caluclus when I was introduced to irrational numbers :-\.
Isn't the American school system great :-(.  Now you know why I am
interested in math education -- I never had any.  But I do believe that
there is a better way of defining irrational numbers than via Dedekind
cuts.

good luck -- gj

PS  beside, as the paper said yesterday,  not much works at 40 below,
particularly brains! <I'd put a grin here but my face would probably
shatter>





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 23:16:56 -0400
From: sychen@ENH.NIST.GOV (Shi-Yew Chen)
Subject: Re: decoding gif stuff

At 05:39 PM 12/8/95 -0400, origami-l@nstn.ca wrote:
>
>hmmmm - I hate to show my ignorance here, but I have gotten several GIF files
>lately. All I get on my monitor is garbage - pages of symbols. I am assuming
>that these have to be decoded somehow... how? Is it doing me any good by
>saving the garbage? Or is it just taking up disk space? If I have the right
>software does it get decoded automatically? What software is it? I am not a
>computer person (witness the questions and the fact that I trashed Windows a
>couple of months ago), so I'd appreciate simple answers! Sorry for the non-
>origami stuff, but I am really curious to see all this stuff!
>
>Dee
>
>
I guess you read mails in ms-window(?) No matter what system you are using
there is always a solution. UUEncoding is the most popular encoding system
in unix-based system for mailing binary files in internet. Some of the mail
client software can do the decoding job automatically. But most of them
don't. So get yourself a uudecoder. "wincode" is such a utility for "FREE".
You should be able to get it in any of popular window shareware archive sites.

MAC person? Don't worry. Check out mac ftp site for archiver or compressor.

UNIX solution - uuencode is built in unix system, type 'man uuencode' to get
help.

E-mail me for details.

---------------------------------------------------
Shi-Yew Chen (a.k.a. SY)  <sychen@enh.nist.gov>
Origami Page > http://www.iia.org/~chens/pprfld.htm





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 23:45:27 -0400
From: Laurie Bisman <lbisman@sirranet.co.nz>
Subject: RE: Santa bills; book on bill folds?

You asked if there were books on bill folds - yes, I have a couple called
'Folding Money, VOL 1 and VOL 2 which I bought originally from The Origami
Centre in New York. This is going back a little now (about 20 years or so)
but they were written by Samuel Randlett in the late 1960's and illustrated
by Jean Randlett. They were ring bound and of about 130 pages. I have
volume 2 open in front of me as I type and there appear to be about 50
different models as well as the letters of the alphabet and numerals.
I can't remember what is in volume 1 but pretty much more of the same.

Check around - someone must have them available in your area. (I am
probably too far away to lend them to you as I live in New Zealand).

Steve Marsh wrote.....

On the subject, can anyone point me to the best sources for dollar bill
folds? I
have a few here and there scattered in various books. Are there any books
dealing solely with this form?

[Howdy all! I'm new here...  $^)  ]





Return-path: <origami-l@nstn.ca>
Date: Fri, 8 Dec 1995 23:49:20 -0400
From: Laurie Bisman <lbisman@sirranet.co.nz>
Subject: RE: Fiskars paper cutter

I have used a roller-blade paper cutter for many years and have always had
perfect results - you don't get the 'paper-movement' problems of swing arm
blade cutters.

It's really 'horses for courses' but I wouldn't change my cutter.

----------
From:   Mark Morden[SMTP:marmonk@eskimo.com]
Sent:   Friday, 8 December 1995 02:17
To:     Multiple recipients of list
Subject:        Fiskars paper cutter

A while back there was a discussion about apaer cutters.  Since I didn't
pay
total attention to it I don't know if this topic was covered.  I was at an
Office Depot yesterday and noticed a paper cutter by Fiskars(or maybe it's
Fiskers).  Instead of having a hinged arm with a blade, this product had a
rolling blade on a fixed bar.  One advantage over a traditonal paper cutter
was that the paper edge being cut was clamped down so it couldn't drift as
the blade passed by.  It looks like a good product, but at $45 dollars I'd
like some consumer recommendations first.  Has anybody used this cutter
before and what is your opinion.  I haven't made out my Christmas list yet.
If this is a quality product, it might qualify.

Thank you in advance.

Mark

Mark Morden == marmonk@mail.eskimo.com
--------------------------------------------------------
I believe in Christianity as I belive in the rising sun;
not because I see it but by it I see all else.
                                           C.S. Lewis





Return-path: <origami-l@nstn.ca>
Date: Sat, 9 Dec 1995 07:34:56 -0400
From: Penny <Penny@sector.demon.co.uk>
Subject: Arthur Stone

I have had a request from the OSN in Holland for the address of Arthur Stone,
they want to publish one of his models.

He is not on my list as having been a member of the BOS. Does anyone know him or
his address.

If you know of him,please send it to me at my address, not via the list, thanks

Penny
------------------------------------------
Penny Groom                :(  Membership Secretary
                           :)  British Origami Society
penny@sector.demon.co.uk





Return-path: <origami-l@nstn.ca>
Date: Sat, 9 Dec 1995 11:12:29 -0400
From: John Smith <jon.pure@paston.co.uk>
Subject: one fold models an apology

In my efforts to be helpful I have sinned. My apologies to everyone for
sending a UUE/GIF file of one fold models to everyone. I had a large number
of requests for the instructions so I set to work last night and used my
reply system on Eudora to send out the instructions to all those who had
requested them. I did not notice that CM317@AOL.COM had requested a reply to
Origami-l instead of to his or her E-Mail address so in my anxiety to send
out the diagrams I must have sent them to everyone. It's sack -cloth and
ashes for me for a week I suppose, yours in sorrow John. (poor old  fellow
he meant well they all cried, I hope.)
John Smith
Norwich
England
e-mail  jon.pure@paston.co.uk





Return-path: <origami-l@nstn.ca>
Date: Sat, 9 Dec 1995 12:18:51 -0400
From: A004773%LBVM1.profs@lbgwy.mdc.com
Subject: GIF files in Email

 I too can't use the GIF files you're posting in this forum.  If you
 would send them to Joseph Wu for posting on his WWW page, then I could
 easily view them there via Netscape.

 I'd like to see some proofs of the irrationality of PI.
 Any method that works...

 John Andrisan
 IBMMAIL: USMCDQND   Internet: a004773%lbvm1.profs@mdcgwy.mdc.com





Return-path: <origami-l@nstn.ca>
Date: Sat, 9 Dec 1995 12:39:14 -0400
From: A004773%LBVM1.profs@lbgwy.mdc.com
Subject: n pointed stars from n rectangles

 was supposed to be a summary of the previous examples I posted, namely
 4, 5, 6, and 7 pointed stars from as many dollar bills.  If you missed
 them, please let me know and I'll send them to you separately.

 My conjecture on the looseness of the centers was a bit premature and
 incorrect.  My next 5 pointed star was rather loose and my 8 pointed
 star was rather tight.  Oh well, what good is a conjecture if you can't
 prove it wrong a few days later.

 John Andrisan
 IBMMAIL: USMCDQND   Internet: a004773%lbvm1.profs@mdcgwy.mdc.com





Return-path: <origami-l@nstn.ca>
Date: Sat, 9 Dec 1995 14:23:36 -0400
From: Eric_Andersen@brown.edu (Eric, were you expecting someone else?)

>
> I'd like to see some proofs of the irrationality of PI.
> Any method that works...
>
> John Andrisan
> IBMMAIL: USMCDQND   Internet: a004773%lbvm1.profs@mdcgwy.mdc.com
>

     Your friendly math major and origami enthusiast from Brown would like
to provide a proof:

     Consider tan x, where x is a nonzero rational number.

     Then tan x is an irrational number. (There are a number of ways to show
this that I won't really go into, including writing tan x as a continued
fraction and writing tan x as a Taylor series, in which the denominator
tends to infinity:

             3    5     7     9             n-1 2n  2n
            x   2x   17x   62x          (-1)   2  (2  -1)B[2n]  2n-1
tan x = x + - + -- + --- + ---- + ... + ---------------------- x    +...
            3   15   315   2835                 (2n)!

Where B[n] is the nth Bernoulli number. (remember that every other Bernoulli
number is negative: B[1] = -1/2, B[2] = 1/6, B[3] = 0, B[4] = -1/30, etc.)

     But anyway, once you've accepted the fact that if x is a nonzero
rational number then tan x is an irrational number the proof is easy:

Since tan (pi/4)  = 1, we use the contrapositive of the above statement

(That is, if tan x is not irrational, the x can't be rational)

Thus pi/4 is irrational, and so pi is also irrational. QED.

A little history: This proof was discovered by Johann Heinrich Lambert
(1728-1777). Before this proof, people still thought pi had an exact value,
but pi had only been calculated to 112 decimals places back then...

I hope this made at least some sense, or at least something to think about
as you make those models that start from a circle (I think I remember a
rocking chair appearing in one of the FOCA Convention books a few years
back. I'm not sure, I didn't bring that one to college)...

     -Eric

.             .      .     .     |--|--|--|--|--|--|  |===|==|   /    i
        .            ____________|__|__|__|__|__|_ |  |===|==|  *  . /=\
__ *            .   /____________________________|-|  |===|==|       |=|
__|  .      .   .  //____________________________| :--------------------.
__|   /|\      _|_|//     ooooooooooooooooooooo  |-|                    |
__|  |/|\|__   ||l|/,-----8::::::TONIGHT::::::8 -| | "Don't believe     |
__|._|/|\|||.l |[=|/,-----8:::Eric:Andersen:::8 -|-|    a word I say."  |
__|[+|-|-||||li|[=|-------8::music@brown.edu::8 -| |   -Professor Suggs |
_-----.|/| //:\_[=|\`-----8:::::::::::::::::::8 -|-|    (in Orgo class) |
 /|  /||//8/ :  8_|\`-----8ooooooooooooooooooo8 -| |                    |
/=| //||/ |  .  | |\\___________  ____  _________|-|                    |
==|//||  /   .   \ \\___________ |X|  | _________| `---==----------==---'
==| ||  /         \ \___________ |X| \| _________|_____||__________||___
==| |~ /     .     \
LS|/  /             \___________________________________________________
                          http://www.brown.edu/Students/Higher_Keys





Return-path: <origami-l@nstn.ca>
Date: Sat, 9 Dec 1995 15:25:52 -0400
From: Nick Robinson <nick@homelink.demon.co.uk>
Subject: obsessive whative?

>  I think you have given new meaning to the term "obsessive-compulsive".

I never understood the first meaning!   ;)

Thick Robinson





Return-path: <origami-l@nstn.ca>
Date: Sat, 9 Dec 1995 20:02:55 -0400
From: mckevin@knuth.mtsu.edu (Cyberstar)
Subject: Jumping Frogs (Was: Origami records Update)

>jon.pure (John Smith) asked:
>>Longest jump by an origami frog?
>
>>    Anyone have an idea for this.
>

Hello all,

Well, I don't know about any records for the height or distance
of the jumping frog models, but the ones I make leap a pretty
impressive distance.  The are from the book:

_Origami, Plain and Simple_
by Robert Neale and Thomas Hull
St. Martin's Press, April 1994
ISBN 0-312-10516-9

Fairly common model, the same one that I have seen in some of
the money folding books.  Only one squash fold that can get
tricky, depending on the thickness of your paper.

But what is funny about this model is what some of the people
that I have given it to have done with it.  I am a University
student, and sometimes a group of people from the Computer
Science Department's lab will go out to eat.  Usually Mexican,
but one night around 3 we went to Waffle House.

I made two of the frogs on the spot for two of the females, and
both of them proceeded to jump them into peoples drinks.  Since
we occupied two booths, the first girl jumped her's into the milk
of the person sitting next to her, and the other girl jumped her's
into my orange juice, as she was sitting across from me at my
table.

Needles to say, I have been wary about giving these girls my models
for fear of their being drowned.  :-)

I wonder if anyone else has any amusing stories about what became
of their models in another's hands?

Cheers,
Kevin

--
Kevin Birch
mckevin@knuth.mtsu.edu





Return-path: <origami-l@nstn.ca>
Date: Sat, 9 Dec 1995 20:48:13 -0400
From: Valerie Vann <75070.304@compuserve.com>
Subject: Geometric #1 (was: Folding Thirds)

[Is it Ingi? When I make other people's models, I like
to put their names on them...]

I enjoyed your "Geometric #1". I would suggest you change
the directions to specify that the upperleft corner is the
one to turn back in Step 2, as otherwise someone may get the
parallel thirds turned 90 degrees, which would make the
following steps hard to follow.

It makes a nice sort of "box", rather like a letter tray,
and if you make 2, they slide together nicely. I have a
lot of mini-mini origami paper, 40mm square, that comes in
500 sheet packs, but after you've used some, it won't stay
in the wrapping, and a regular box makes it difficult to
select one sheet (its in a rainbow assortment), and the little
sheets tend to get scattered around and bent if you don't
keep them in something. A 4 5/8 inch square of kami makes
a perfect sized "Geometric #1" to hold about half a pack,
The half height front and "V" in the back makes it easy
to choose one sheet of the little paper without losing control
of the rest. A second "Geometric #1" makes a cover to slide on.
The perfect solution!

Thanks again!
--valerie
Valerie Vann
75070.304@compuserve.com
