Nicht das Erzählte reicht - sondern das Erreichte zählt.

In Waterloo habe ich John Edmark kennengelernt.

Er hat 2008 den Lollipopter erfunden.

Das ist ein Spielzeug,

mit dem man die Fibonacci Folge begreifen kann.

Ich finde seine Forschungsarbeiten toll!

Er baut und entwickelt wundervolle Puzzel.

Und war geladener Künstler für die Art Exhibit.

John hat dann meine Mathewerkstatt angeguckt,

und fand alles prima.

Er sieht und begreift den Wert meiner Unikate.

Und als ich den Lollipopter Mango Fandango in Amerika bestellt habe,

habe ich gleich noch zwei Logik Puzzel entdeckt und bestellt.

Eins mit Hunden, eins mit Katzen, denn:

ich konnte mich nicht zwischen den Hunden und Katzen entscheiden.

Und ein 3D Holzpuzzel mit Regenbogenfarben.

Die Mathewerkstatt mit meinen vielen Unikaten macht gerade Urlaub.

In der Schule wird demnächst viel Baustellenstaub da sein.

Zum Trost stelle ich die neuen Sachen zur Verfügung.

Und die Bilder betitel ich mal mit dem Wort: Werbung.


Letztes Jahr wurden ja zwei Penrose Quilts von mir

auf der internationalen Quiltausstellung

in Houston Texas ausgestellt.

Und dieses Jahr ist die Stadt Houston und weite Teile von Texas

vom Hurrican völlig verwüstet und überschwemmt.

Meine Gedanken sind bei den Flutopfern.

Die ersten Bridges Fotos sind hier:

Niagara Falls habe ich gesehen,

rattlesnakes, eagles and chipmunks,

groundhog, canada geese,

und den Start der Bridges Conference in Waterloo!


Meine Favoriten in der McMichaels Gallery in Kleinburg sind die

Size Matters Bilder.

Boh, ey!

Ein Initiator für Mathe im Advent, der Martin aus Berlin, ist auch da.

Und Ulli vom Schwabenland  (oder Mannheim???) und Bernhard aus Bayern.

Mein Artwork ist im Davis Centre.

Am Sonntag, 30.07.2017,

hat die Mathewerkstatt

einen Mitmachstand

in der Universität of Waterloo

in Kanada!

14 Uhr bis 18 Uhr, 

im Atrium vom Davidson Centre.

Wer möchte, kann mich dort besuchen!

Family Day Bridges Conference 2017 Waterloo, Canada 07/30/2017
Family Day Bridges Conference 2017 Waterloo, Canada 07/30/2017

The first Canada pictures:


I have not the permission to make the workshop 132.

My english is not so good.

I have the permission to make this workshop at the publics day/family day Sunday, 30. July 2017 in Waterloo!


I am very busy to book all the motels and hostels and B&Bs for my journey to Canada.

I will stay in the Ron Eydt Village in Waterloo.

In Ottawa I was making a mistake while booking a single Room in the

Hi- Ottawa Jail Hostel:

This room is not good for me! To many walls around the bed!



Bridges conference submission #132


X-mas in July:
A STEAM Activity with Kirigami

Corinna Beuermann-Kulp

Elementary School Friedland

 37133 Friedland, Germany


Nicklas Kulp

Graduate Student

KIT Karlsruhe Institute of Technology

Fakultät für Informatik




Kirigami is the Japanese art of paper cutting.

Kirigami is a workshop in which curious persons

are invited to make a 3D Christmas decoration

which can also be hidden in a flat pocket.

The pattern is provided in pre-cut paper shapes.

The geometric objects, assembled during the workshop,

have the properties of flexibility (with diagonally pressure)

but also 3D stability (with no pressure).

The shapes will be assembled to a Cartesian coordinate system,

which uses one or more numbers,

called coordinates, to uniquely determine

the position of a point or other geometric element

on a manifold such as Euclidean space.

The Kirigami 3D objects are mirror symmetrical,

which produce regularity.

Press the Kirigami objects diagonally - from North to South,

or from West to East, and you will have a flat object.

Comprehend maths with head, heart and hand.

The result is a seasonal decoration: Christmas in July!

You can use the Kirigami ship as a decoration in a

mathematically styled Christmas tree.

Other seasonal decorations are a carousel,

a maple leaf and a heart.

The Kirigami maple leaf is also a nice souvenir from Canada.






The Kirigami project encourages the

discovery of the natural sciences.

“Lernen durch ausprobieren”,

as we say in Germany,

meaning “learning by playing”.

Subjects that can be experienced through multiple senses,

make it easier for students with learning disorders

to stay concentrated and helps them to keep up with the other kids.

Maybe their dyslexia keeps some of them

from writing down their experience,

but it does not mater, because,

they can now show it to you on a model.

It promotes the social competence of the class

by enabling everyone to contribute to the team effort.

STEAM pedagogy does not aim to teach

the basics of reading, writing or calculating.

Instead it shows the kids the greater picture of how art

and the sciences can work together.

Which has the added benefit of being more fun.

The slogan of the elementary school in Friedland

“Comprehend maths with head, heart and hand!”

resonates with the philosophy behind STEAM.

The Kirigami projects build a bridge

between Maths (coordinate system),

Material sciences (flexibility and stability)

and Art (because the result looks great!).






STEAM education shows the children

the bigger picture of how art and the sciences

can work together on themes

that the children current perceive as exciting.

A preparation to like later the STEM lessons.


Mathematics, Computer Science, Natural Sciences, Engineering. Naturwissenschaften is the keyword to natural sciences

(physics, chemistry, biology).


The Kirigami workshop has been done

successfully with students and kindergarten kids

from Friedland and the surrounding area.

Later we participated an idea-contest,

the “Ideenfang” contest for the IdeenExpo 2015 in Hannover.

There we showed the steam activity:

“Christmas in July – the mathematical Christmas tree”

and won the first price in July 2015.




Intended Outcome



We developed the idea for the Kirigami workshop

in the Friedland elementary school maths workshop.

The kids are easily engaged

and do not show any prejudices towards learning

- caused by the haptically experiences with the material.

The paper is much more robust,

once it has been worked into a Kirigami art piece.

We have proudly presented these on school events in the past.

In our school,

the 6 years old are given the opportunity

to assemble the 3D objects for theoretical understanding

or for simple pleasure.

The construction of the Kirigami objects is straightforward.

The result of the Kirigami workshop

is a decorational art piece

that the participants made from start to finish,

they just have to keep the pieces in order,

or the pattern will not develop.

This requires some attention of the students,

which is an important skill to have.

All students, regardless of their social background,

are given the opportunity to assemble the 3D objects

- teaching material that is not available,

but fit very well with the school's slogan

"Comprehend maths with head, heart and hand."

The resulting item is both stable and flexible,

depending on the direction of the applied pressure.

This is an interesting physical property that makes it understandable,

relatable and encourages students to pick it up and play around with it.

We do not consider the mathematical and physical theory

to be the main subject at the Friedland elementary school.

This is taught to the students who get so interested

they want to know more and need to be challenged or the older kids,

once they are in secondary school.
The especially gifted kids are given the following tasks:

Assemble the shapes in the right sequence and position.

You will need no glue!

The shapes will show you the Cartesian coordinate system,

which uses one or more numbers,

called coordinates,

to uniquely determine the position of a point

or other geometric object on a manifold such as Euclidean space.

Describe the physical properties of the object and try to explain them.
The coordinate system framework has parallel fillers.

As a result, the structure is flexible in the diagonal.

It can then be collapsed in a space-saving manner.

This gives rise to considerations of how this property

can be used to protect the environment.

The space-saving manner is a good property for a seasonal decoration.

The huge mountain of seasonal decoration no longer

has to be dragged to the attic.

Not anymore.

Now a small shoe box, or a file folder can hide everything away.

Paper is a renewable resource.

The material costs are low.

If the seasonal decorations are purchased in the Kirigami style,

CO2 is already saved during transportation to the consumer,

because the 3D decorations in the collapsed state

occupy only a small volume.
The interest in Kirigami objects can be developed further:

Kirigami items are always special handmade gifts

for dear people with environmental awareness.

The decoration is also very haptic,

sturdy and very well suited for curious kids.

Small LEDs are provided to illuminate the little carousel

as the “life candle” on a birthday table.

Comprehend maths with head, heart and hand.

Greifen und Begreifen, as we say in Germany.