PaulaKrieg

Paula Krieg
Triangles

Last year, on December 24, I posted a page of decorative papers I had created to do some last minute wrapping. To make the papers I lifted images from pages and posts made by people whose work I love, so, naturally, I loved the papers. It was such a pleasure to do that I’m doing it again.

See the PDF at the bottom of the post to get the best copies.

Here’s an exquisite doodle by Dan Anderson. Of this, he indicated that he didn’t really know what was going on with the creation of this graphic….which is how I usually feel about everything I do.

The page above is based off a graphic by Simon Gregg. A big part of the reason I picked this image is that it is part of a post that I really loved reading, https://seekecho.blogspot.fr/2017/12/nicomachuss-theorem.html

Suzanne Von Oy created a Desmos graph, which showed cows in a tornado. It was so silly that I, of course, had to play around with  it. That middle, green swirl in the picture above, is suppose to be kind of like a Christmas Tree with cow ornaments. (don’t judge me)

Here’s another image that I chose based on how much I liked the post that it is part of. There were all sorts of wild shapes associated with this Lawler family post, but I like how rotating just one of the images made this fun pattern.

When I saw this image stars-in-circles posted by Malke Rosenfeld, it just knocked my socks off.  Note the link in the caption, it says Star-o-Rama and how to make them!

It was unusually hard to figure out which of Martin Holthman mathart images to play with, as, lately, he has been having way too much fun making cool stuff. .Finally picked out this,  because it was not only awesome, but also seasonally snowflakish.

I discovered the graphing program Desmos shortly after it came on-line. I’m not fluent enough in math to make amazing graphics with it (yet?).  Geogebra has been around for, well, I don’t know how long. I haven’t spent much time with it, but John Golden has spent a great deal of time with it. I really couldn’t decide which of his images to use, so I chose two. I considered chosing three, but I’ll save that third one for another project. I think that wrapping a small package with these undulating black and white lines will look really great. I’m especially looking forward to using this one.

What’s the point of making mathy wrapping paper without some rhombic tori? No point at all. So here you have them, thanks to Mr. Golden.

If you want to print any or all of these papers,  I thin that the best way to do it is from a PDF.

Here’ the PDF Wrapping Paper 2017 . All nine images are here, but you can choose to print just the ones you need today using the dialog box on your printer.

Happy wrapping.

Alison and her Milk Cartons

December 20, 2017

The Star that Nancy picked out to keep

The Star that my friend Nancy picked out to keep

The morning that I started this post I saw a series of photos tweeted out by Alison Martin. She’s been making some wondrous constructions using milk cartons. Here are two of the five tweets that caught my attention:

My attention was riveted on the fact that she had thought of this very accessible way to make slices of squares which she could then skew to make a veritable symphony of constructions. (Yes, am mixing metaphors. Will welcome edits…)

Sadly, our milk comes in glass bottles.

Also, since I do projects with students in schools, I have this thing about wanting to make everything from regular copy paper.

Paper Starbursts made from regular copy paper

Paper Starbursts made from regular copy paper

As I worked out how to create these starbursts I thought about the methods I use of working with paper that are not obvious. I made a video, in which I’m talking the whole way through, pointing out details of working with paper.

 

 

Here are some photos which repeat bits of what I’m showing in the video.

Not exactly a milk carton

Not exactly a milk carton, but it has a square end. Cuboid? Rectangular Prism?

Start with folding a tab. Next, ignoring the tab, fold a piece of regular copy paper into fourths, and then glue to the tab to make a shape with a square end.

Slice and glue

Slice and glue

Slice off a strip. Now, it’s not obvious how to continue, so don’t start slicing lots of strips. Just STOP after one slice.

Spread glue on one section of the tube (the part in the photo that has pencil lines on it)  then glue down that one slice of the paper at the edge of the tube. See photo below.

First Ray

First Ray, glued

Cut away another slice from the glued section, the same width as the slice that’s been glued on to it. Repeat and repeat…

A series of Rays

A series of Rays

…until you have 5 or 6 or 7 or 8 or however many rays you want or have materials for. I usually make 7 rays. Then glue the parts together that make them stay fully rotated.

The inside stars are a bit different to do. Make that shape with the square end again, but the width of the of this paper with should be about a third thinner than the paper you started with. (My first paper was 8 1/2″ wide, this second part was done with 5 1/2″ wide paper)

I’m going to let you figure out where the glue will go: this is pretty obvious.

What’s not so obvious is how to get the ray nicely placed.

What you do it this:

Placing an inner ray

Placing an inner ray

Splay open the big ray, slide in the small ray, then….(this is important, not obvious!)…

mvimg_20171220_171238~33729147328732120578..jpg

Sandwiching squeeze

...squeeze the neighboring rays together, which makes all layers align just right.

After making this inner layer of rays, if you want to make an even more inner layer of rays, don’t bother with making a closed shape with a tab, just fold paper into fourths.

mvimg_20171220_180530~22052134737897814684..jpg

See, like this.

mvimg_20171220_180947~33464398805300240078..jpg

Now here’s something I wasn’t expecting: they stand up by themselves.

And they stack.

(Watch the video. To the end. It’s much better than this post.)

 

Little Books to Give Away

December 9, 2017

Three Inch Square books

An artist friend of mine makes something each year for the children who come to the food bank in her community. Last weekend she came over and we worked out how to make a box that would contain items for the kids. After she left I started thinking about making little books to donate towards her efforts. It took awhile for me to come up with what kind of book I could make that was just the right balance of being not incredibly work intensive, while still being something that I am proud to offer.

3" x 11" paper strips

3″ x 11″ paper strips

These books began with some medium weight papers strips, cut 3″ x 11″. I used something kind of fancy because I have it around, but any kind of colored copy paper would have been fine to use.

Book Block paper 3" x 6"

Book Block paper 3″ x 6″

I’m using regular copy paper for the book block. This shows the paper separated into grouping of 12 papers, so the books will have 48 pages.

These papers for the inside of the book are cut to be 3″ x 6″. (Question for the grammar police: does the period go inside the inch symbol?)

I have a little guillotine cutter in my house that cuts piles of paper nicely. I paid $800 for it at a time when I barely had two nickels to rub together. It was so worth it. I see similar ones on the market now for $99.00.

Next, each cover got folded in half, then I lined the center up with the number 7 on my little paper-cutter.

A little wide of the 10 inch and 4 inche marks

A little wide of the 10 inch and 4 inch marks

These covers need to be just a bit longer than 6 inches so I made the folds at about 3 1/8″ away from the center, using the markings on my paper-cutter to show me where to fold.

 

Modified Pamphlet Stitch

Modified Pamphlet Stitch

I decided to use a needle with a  modified pamphlet stitch to for the binding so that I’d have to make only one hole in the spine (with my very sharp bookbinders awl). (I love my tools)

All done!

All done!

Here they are, all ready to go.

This was such a satisfying little project.

 

 

 

Spiraling Paper Ornament

November 24, 2017

I came across this complicated looking but simple paper structure and have been happily playing around with it for days.

I’ve been able to locate only once source for these, which is at http://hattifant.com/triskele-paper-globes-flower-edition/, an exquisite site by German artist Manja Burton. Fact is, her site has enough about these globes that, really, no one else needs to ever write about them again ever, but, oh well, here I go.

Manja calls these Triskele Globes. I have no idea whether these are a traditional paper-folding design, or if she developed it herself. “Triskele” is a symbol which depicts three interlocking spirals. These paper globes appear to be interlocking spirals, but the spiraling is simply a wonderful illusion.

Bonus Update: just as I was about to hit the Publish button for this post, I received a note from Manja, responding to my questions about this structure.  I’ve added her response at the end of the post.

Three rectangles that will become globes

Three rectangles that will become globes

The globes are made with three interlocking strips. 

After interlocking the strips, the arcs are folded in. It really helps to pre-score the curved fold lines. Here’s a short video:

I made three different pdfs for paper strips, which will be at the bottom of this post. Each page will make two ornaments. My templates are a bit smaller than the ones on Manja Burton’s site. I like this smaller size mostly because I think it work so well with standard copy paper.

I’ve embellished with the paper with simple shapes, so that it’s easier to distinguish the strips from each other, otherwise it can be confusing to see what’s going on with the construction. I’ve also provided a pdf below that has no embellishments, so my shapes won’t interfere with your own vision.

Image of template for paper strips to make spiral paper ornament

Image of template for paper strips to make spiral paper ornament. Look for PDF below

You’ll notice that there are triangles on the template. These triangles are hidden in the final product. I put them there to help orient the designs, hopefully making it easier to see how the rings of paper strips are aligned to each other.

If you don’t have access to a copy machine, it’s absolutely possible to construct your own template for these paper strips. Here’s a grid that can be used to understand the proportions of the shapes.

The Paper Strips for the Spiraling ornament, mapped on a grid

The paper strips for the Spiraling ornament, mapped on a grid. The strips are 48 squares tall (plus two more for the tab), 10 square wide, and the circles have an a radius of 8 squares, but only 1/3 of the circle is on the paper strip. There, that should get you started.

I liked the look of the grid so much that I made a PDF of templates that includes the grid.

Grid on paper strips

See PDF for this at the bottom of this post

I’ve had such a great time with these. I’m  surprised every time I see the transformation happen as the strips of paper become a spiraling globe.

Here are the PDF’s of the strips.

Spiral Paper Ornament strips with shapes

Spiral Paper Ornament strips plain

Spiral Paper Ornament graphed strips

and here the PDF of the grid so you can construct your own strips without a copy machine:

Spiral Paper Ornament strip construction  (will be much  easier to use if you have graph paper)

A Bevy of Paper globes

A Bevy of Paper globes

Have fun. Use bling. Be colorful. Experiment with different papers, different designs. Make them into dice, fortune tellers, add quotes. Go wild.

Here’s the bonus update: I wrote a note to Manja which said.

Manja, I am enchanted by the Triskele balls, and am currently writing a blog post about them, which will include links to your site. Can you tell me something about history of these balls? did you invent the form or did you come across it in your travels? Many thanks for your beautiful work.

She wrote back, saying:

It is a couple of years back now that I saw an image of one of these globes and all I knew was that it was made out of three strips of paper. I spent a whole day on figuring out how it works… I never found that picture again online. I did do some more research on it back then and couldn’t find anything. So I asked the Hattifant community to help me find a name. And that was absolute fun and we in the end came up with Triskele Paper Globes.  Today, I have seen more of them and also in the Scandinavian area… there they seem to be called “click balls”. So please I would love to know more, too!  If you find out more do let me know!”
Okay! If anyone knows something about the history of these balls, let us know!

 

 

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