Envelope Number Line Book, Paula Beardell Krieg

Number Line Book, closed

I like the number line.

The number line is all about relationships: I can look at the number line and actually see and measure the chasm between two quantities, even when, as in the case of negatives, those quantities don’t even exist.

As an adult I’ve realized that I had some misconceptions about the number line, and I have discovered subtleties about it that surprise me.

envelope Number Line Book, Paula Beardell Krieg

Unpacking the Number LIne

I’ve been toying with number lines for quite a while. In my opinion the number line needs to be toyed with. The images that I see of it are not captivating. I’m wanting to rigorously play with this arrangement of symbols in way that captures some of its nuances. I intend to try to investigate numerous bookish solutions which means that I suspect that this topic will keep coming up.  I hope this will be an ongoing bookmaking/discovery journey. I’m not sure exactly where I will be going with this.

But I do know that a few nights ago , after a disappointing evening of cutting and folding, a way of proceeding finally presented itself, but I was too tired to grab hold of it. The inspiration teased me all night, and before 7 am the next  morning I was tending the coffee pot while working out my construction. I’m very pleased with how this particular structure worked out. It was so unexpected and delightful that I am excited to be sharing it.

Number Line Book, expanded, Paula Beardell Krieg

Number Line Book, expanded

It’s built from envelopes, the kind we think of as regular envelopes, though, technically, they are called “No. 6 3/4″ envelopes.

Number Line,with negative numbers, Paula Beardell Krieg

Number Line, showing negative numbers too

Here’s are some of the things I like about this piece:

  • it’s a zig-zag
  • it has pockets
  • it scales
  • the structure suggests infinity since it can keep going in either direction
  • it can fold up into a polite accordion-like book.

The pockets are the most distinguishing feature of this number line. These pockets hold cards, which are printed with different sets, or sequences of numbers. This means that the labeling, or the scaling, of the line is always in flux, subject to the whims of whichever algorithm that’s called for.

Number LIne by 10's

Number LIne by 10’s

That’s the crux of it: the flux.

As students proceed through their grasp of numbers, the labeling of the number line constantly changes in scale as needed. Eventually the number gets integrated into the coordinate plane, and becomes the x-axis. I remember seeing the little graphs in math books, and I thought that when I got to grown-up math that the lines would get longer. It never occurred to me that it would be the scale that changed, not the size of the line.

Number LIne in Flux

Number LIne in Flux

You can see that there’s intermediate markings between the numbers. These can be interpreted differently depending on which scale is being used. For instance, when counting by tens, the small lines can be counted as ones, when the number line is increasing by one’s, the intermediate lines become tenths. In my mind, the point of doing this is to drive home the concept that the very same line can morph into whatever one needs it to be for the visuals of the relationship at hand. The maker becomes the master of the line.

Folded Number Line

Folded Number Line

Then the maker gets to fold up the number line into this accordion-like square. Just my style.

Over the next few days I will be working on designing a set of instructions on how to put this line together. It’s likely, however, that if you picked up some envelopes you ‘d  figure this out for yourself.


Belin 50th Brochure PRINT-1

At the Comm, Waverly, PA

Right now I’m preparing materials for three short workshops that will be happening at the Community Center in Waverly, Pennsylvania. this Saturday, October 11. There will be many presenters during the grand weekend long celebration of the 50th year of the E. Lammot Belin Arts Scholarship. I’ve taken a look at the line-up, which was published as part of an article, in the local Times-Tribune, and it looks like I will be missing many great workshops while I am teaching my own.

If you happen to be in the Scranton area, do come. These workshops are all free to the participants.

I’ll be busy with three different groups. For adults, at 1:15 I will be teaching the Card Carrying Blizzard Book, a diminutive structure which can be modified in many ways, and which is created through a sequence of cleverly arranged folds.

Card Carrying Blizzard Book, a book structure designed by Hedi Kyle

Card Carrying Blizzard Book, a book structure designed by Hedi Kyle

The organizers of this event pretty much left it up to me what to teach, and they let me decide on what ages I wanted to work with. Well, I like just about every age group, so I asked to do three workshops, each focusing on a different group. I’m looking forward to showing adults how to make this little card-carrying book, as it’s not something that I often have an opportunity to teach.

At noon,just before the adult workshop, I’ll be working with 8 to 12 years, making pop-ups.

Many Layered Pop-up

Many Layered Pop-up

I plan to show some basic pop-up concepts to these children, then give them time to let loose with their own creativity.

The morning workshop, the first of the three, is one of my favorites to teach.I nearly never have the right venue in which to present it. Here’s the description that I wrote up:

11:00 – 11:50 Impromptu Paper and Book Arts for Parents and their Pre-school Children

 Here’s a workshop that stretches how creative Moms and Dads can be while tending young children. During this open studio time caretakers, who are invited to bring their infants and toddlers along with them, will learn how to transform regular pieces of paper into whimsical and wondrous playthings.

Simple Paper Structures

So, did you get that? Infants and toddlers are invited to come to this workshop, along with their caretakers. There’s no guarantee about what will get done, as each child/adult pair have their own unpredictable dynamics.  I will be bringing written directions for the projects so that people can work at their own paces. I think I will have some helpers with me, too.

Small Paper Stage

Small Paper Stage

I dreamt up the concept for this workshop in waiting rooms when my children were small. I would scrounge up a piece of paper, sometimes an expired flyer hanging on the wall, sometimes one of those cards that all always falling out of magazines, and I would entertain my children with a little pop-up or an impromptu book. It really came in handy, knowing how to transform bits of paper into playthings. This workshop lets me share these little treasures.

At various times I’ve already posted directions for the simple little structures that I will be teaching in the toddlers’ class. But, if you are interested,  I’ve  put together a 6 page, 4MB PDF file that I can send via email to anyone who asks for it.  It won’t go out automatically so be patient, though chances are you will get it within about half a day. You’ll wait longer, though, if you ask on Saturday: or. if you are impatient, you will just have to come to Waverly, Pennsylvania and sit in on one of the workshops.. See you there!

In Paul Johnson’s Ark

September 28, 2014


Paul-Johnson’s-Ark, detail

This past Tuesday the North Main Gallery in Salem. New York hosted an Art Party for Paul Johnson’s work, which included an animated presentation by the artist himself.


Paul Johnson’s opening

Johnson’s  Noah’s Ark pop-up book was part of the presentation, though not part of this generous show. During his talk, Johnson first showed us the ark as a completely flat piece, then with a dramatic flick of the wrist, he expanded into a structure that was so detailed and dimensional that we gasped. He threatened to teach us how to make one of our own in the workshops the following day.

Model for students, Paul Johnson simplified ark

Model for students, Paul Johnson simplified ark

Which, fortunately, was not true. We were challenged enough with this diminished version, especially when it came to filling it with animals.


Keith’s and Susan’s Arks (I think)

Rather than make two of every animal, Keith filled his ark with cattle couples, and Susan feautured Noah. Each of the dozen students came up with their own solutions.

We also made a pop-up theater card, which Johnson successfully taught us in ten minutes flat (lunch was in the offing).

Model for Pop-Up Theater Card

Model for Pop-Up Theater Card

And then there was what he called the Vaudeville Theater, which gave us a chance to try out the dimensional slot-and-tab techniques that Johnson uses in many of his mulit- layered books.

Vaudeville  slot-and-tab Theater construction directions by Paul Johnson

Vaudeville slot-and-tab Theater construction directions by Paul Johnson

The highlight of the day for me was asking Paul Johnson about the dovetail joint technique that he sometimes uses to create hinges. I had studied the look of this method of building a hinge, and but my attempts at making mine work had failed entirely. Left to my own devices I know would have persevered beyond reason to figure this out, so I was, gulp, really really happy that I could actually show him the self-disassembling box that I had sort of put together.  Turns out that my way of thinking about the dovetail joint was all wrong. If you can imagine a dovetail joint you will know that it is made with two trapezoids: one negative, one positive. I had wrongly envisioned that these two trapezoids echo each other exactly in their shape. Instead, what’s going on is that top(short side) of the positive dovetail/trapezoid is the same length of the longest (base) side of the negative dovetail. If this made no sense to you, well, know that it made no sense to me either. So Paul showed me a model that he had prepared for just this kind of inquiry (aw, there’s always one…) and gave it to me since no one else had asked. Thank you! Passing on the favor I made this template:

Dovetail template for making hinged panels, inspired by Paul Johnson

Dovetail template for making hinged panels, inspired by Paul Johnson

from which I made this lovely box which lies flat…

Paper panels, with dovetailed attachments

Paper panels, with dovetailed attachments

.and then opens into three dimensions. Yeah!

Paper Box with Dovetail hinges

Paper Box with Dovetail hinges

I made this 4″ cube with Hammermill 80 lb Color Copy Digital Cover Paper. Paul Johnson makes his constructions with 140 lb Saunders Watercolor Paper.
Okay, this is it for my Paul Johnson posts. Fact is I could probably do another 20 posts of the books in this show (which is up until October 4) but I won’t…

the Good-bye Hippos on Paul Johnson's Noah's Ark

..the Good-bye Hippos on Paul Johnson’s Noah’s Ark

…so it’s time to say goodbye. And many thanks to Ruth Sauer’s North Main Gallery for opening the doors for this show, and hurrah to Paul Johnson for visiting our little village of Salem here in upstate New York, and thanks to Ed for his hand in making this all come together well. What a gift!

Jonah and the Whale by Paul Johnson. Photo by Paula Beardell Krieg

Jonah and the Whale by Paul Johnson

Yes, this sculptural construction is a book. Ed was setting up this piece at Paul Johnson’s show at North Main Gallery in Salem, New York (up until October 4) when I questioned him, because I just didn’t see how this piece could possibly “close.” So he closed it for me. It’s many thick pages long  –here, below is a peek of some of the inner pages…

Inside Jonah and the Whale by Paul Johnson

Inside “Jonah and the Whale ” by Paul Johnson

… which includes a magnificent view of the whale’s tail–and I couldn’t fathom how this undulating, many layered, detailed piece could be shut. In the interest of showing off as much of this book as is reasonable in a blog post, here’s another view of the book with the explanation that I needed in order to structurally understand what’s going on to support the visuals.

Jonah and the Whale, by Paul Johnson, left side

Jonah and the Whale, by Paul Johnson, photo take from the left side

The thick spine of this book doubles as the whale that is about to consume poor Jonah. The alternating  right and blue stripes on the pole, which are on either side of the whale/spine are hinges, known in the bookmaking world as piano hinges, which allow the book to open and close.  Enough said about that. Now for a closer look at the artwork.

detail of Jonah and the Whale by Paul Johnson

detail of Jonah and the Whale by Paul Johnson

These pages, I’m told, are constructed out of heavy weight watercolor paper.

Poor Jonah

a close up of Jonah and the Whale by Paul Johnson

Here’s poor Jonah, just before the decisive moment.  I’ve noticed the house-like structures in many of Johnson’s books: the sweetness of these little structures resonate with the homebody part of me ( I love my home).

Ursula's Garden by Paul Johnson

Ursula’s Garden by Paul Johnson

Here’s another piece in the show with a little house. The writing up top identifies this a Johnson’s mother-in-law’s garden. The writing to left says ” In total contrast to the brilliant colors in my unique pop-up books, my editions are softer in tone comprising pencil crayon and delicate penwork illustration. The laser printed originals are hand cut and hand assembled.”

One more view of Jonah before I sign off on this post. I doubt I will ever again have the opportunity to see this extraordinary piece, so I want to keep these images of it around.

detail of Jonah and the Whale, Paul Johnson

detail of Jonah and the Whale, Paul Johnson

If you are happening to read this post on the date that I’ve written it, and you are within driving distance, this message is for you:

ART PARTY at North Main Gallery, Salem, NY on Tuesday September 23, 6-8 p.m.

You are invited! Paul Johnson will be in the building, giving a talk and showing us books that have never been seen before. At least that’s what I’ve been told. Ed Hutchins assures me that there will be plenty of Saratoga water, local cheeses and other gastronomic delights on hand to round out the evening. You can take it on my word that there will be lots of good company.

If you aren’t nearby, I have some good news for you, too. I have a handful of catalogs that I would like to give away. I will send out copies to up to eight people who request one. I don’t expect I will be inundated by requests, but if I am I will give preference to anyone who has previously left a comment on this blog at any time before today.

I will be attending Johnson’s workshop on Wednesday, so expect one more Paul Johnson post soon!