Here is my advent calendar for december 2016:

advent calendar 2016: PP pattern for this quilt. I have sewn it years ago for my nice.
advent calendar 2016: PP pattern for this quilt. I have sewn it years ago for my nice.

Shapes for the La Passacaglia.

Adventskalender 2015 Door 9 bis 25, aber nicht in PDF Qualität, sind nur noch JPG Dateien.
Ich rechne nicht damit, dass die Maßkontrollfelder eine Kantenlänge von 1,25 Inch haben. Mein Testdruck hat 1-1/4 Inch ergeben. Nicht meckern, die Original PDF Dateien gab es lange genug im Dezember 2015! Mit Faktor 141,7 % ausgedruckt hatte ich 4,5 cm im Maßkontrollfeld.
PDF Adventskalender 2015 Gesamt La Passa
Adobe Acrobat Dokument 2.6 MB

Saturday, 30. April 2016

Grundschule Friedland ist Partnerschule der Ideen-Expo

The primary school in Friedland received the prize

"Partnerschule der IdeenExpo 2015".

Christmas in July - the mathematic christmas tree.

Christmas ornaments made with Kirigami.

Math Workshop goes on tour

And the kindergarten suitcase goes sometimes traveling.

Notification of acceptance is made via e-mail by April 16, 2016.

Because of notification the kindergarten suitcase goes traveling in August.

August 9-13, 2016 (Tuesday - Saturday)

to Jyvaskyla Finland!

At Phil Webster webpage is a cool star.

I asked him for the shapes.

He encouraged me, to submit for the Bridges Conference in Jyvaskyla Finland,

"not far away from me",

deadline for submission: 15.March.2016.

Images of any submitted artwork and accompanying descriptions should be submitted between February 15 and March 15, 2016.

Submissions of art to Bridges 2016 will only be accepted

through the submission website.

Notification of acceptance will be made via e-mail by April 15, 2016.

In the case of notification the kindergarten suitcase goes traveling in August.

August 9-13, 2016 (Tuesday - Saturday)

A Collaborative Effort by
The University of Jyväskylä and Bridges Organization


The Bridges Conference,

the world’s largest interdisciplinary conference on mathematics and art,

after having traveled to cities in North America, Europe and Asia,

and attracting participants from over thirty countries,

now comes to Finland!

The conference will feature presentations of full and short papers,

hands-on workshops, invited talks, a juried art exhibition,

a math/art short movie festival, a theater event,

a music night, a mathematical poetry reading,

a math/art excursion, a public day, and more.

Papers will be published in the refereed conference proceedings.


You can see my submission at the next picture.

Pädagogische Mitarbeiterin in der Mathewerkstatt
Grundschule Friedland (Elementary School Friedland Germany)
37133 Friedland, Landkreis Göttingen, Niedersachsen, Germany

The artist for patchwork puzzles and quilts in the math workshop of elementary school in Friedland. Here: visiting the university of Mainz in Germany, MINT congress 9. april 2011.
The artist for patchwork puzzles and quilts in the math workshop of elementary school in Friedland. Here: visiting the university of Mainz in Germany, MINT congress 9. april 2011.

I work at the elementary school in Friedland and
create and sew unique mathematical geometrical toys

for children 5 years old and older.
Together with the mathematical institute of the university in Göttingen,
I developed the "Kindergarten Koffer" - a suitcase with different Puzzles:
8 mathemagic cubes, 1 Pentomino, 1 Sudoko,

the magnetic dodecagon with 60 pieces and the Maths Pie.
I made many spheres with different tilings on the surface,

and 18 edge models from polyhedra.
My hobby is sewing stellated polyhedra,

quilts and other robust, elastic, haptic and soft toys/puzzles!
My circular quilt: "Da staunst Du - 29 Bauklötze!" was shown in

the exhibit for mathematical quilts in different locations

in Germany during the year of math in 2008.

The mathemagic cubes are very robust, haptic and very suitable for curious children.
There are currently 37 unique items. They are divided into 5 difficulty levels.
Of course, everyone wants to get to the highest level, but that is not so easy ...
The cut surfaces always want to trick us ...
In one cube hides the Kepler star.
In the other cubes are tetrahedrons, which are cut into multiple pieces as a puzzle.
Search 4 cubes and build them into a large tetrahedron hidden fractally inside another cube.
Locate the tetrahedron, which illustrates the formula used to calculate the volume of the tetrahedron.
Get to know funny words like "tetrahedron, octahedron, volume calculation, congruent"
that you must know by the end of fourth grade.

The magnetic dodecagon is very robust and very suitable for curious children,
but they must not swallow the 60 extra strong magnets.
One basic concept of school geometry is symmetry.
On the one hand there is the property of symmetry of figures and objects,
on the other hand there are symmetry maps (mirroring, rotation),

which produce regularity.
This dodecagon consists of 24 small and 24 large diamonds and 12 squares
with complementary colors on their front and back.
The edge lengths are all equal, the angles are 30 ° / 150 °, 60 ° / 120 °, 90 ° / 90 °.
From the 60 pieces you can produce one large or 4 small dodecagons.
There are many possible arrangements for their colors!
Comprehend maths with head, heart and hand.

I like puzzles!

One of 18 different modular edge models of polyhedra.
The material is very haptic,

sturdy and very well suited for curious kids,
but they should not give this toy to their pet,

because it is filled with rustling styrofoam balls.
On the surface of the polyhedron you can discover triangles,

tetragons, pentagons and hexagons.
These can be folded toward the center or the outside,

thereby changing the appearance and the stability of the polyhedron.
The models are also sporty: You can throw and catch them well.
A balloon in the middle will change the flight trajectory and stability.
Count the polygonal faces, straight edges and vertices to discover

Eulers characteristic and make your math teacher happy!
Because each model is different.

I made many spheres with different tilings on the surface.

My artful footballs.

The colorful football in the pictures is sewed with 360 pieces

(english paper piecing).
21 equatorial orbits the ball.

I discovered the webpage of

Eduard Baumann, Fribourg Switzerland,

with wonderful spheres drawing on it,

and decided to sew this ball.

In the surface pattern I see the rhombic triacontahedron.


Sewing stellated polyhedra,

Kumihimo, Kirigami, embroidery,

celtic knots, my nature garden,

butterflies........ - I have a lot hobbies!

Tidying up the house is not my hobby!!!!!!

Quilt design is one of my hobbies.

Here is a Mandala drawing.

It is for rainy days.
So that my students can imagine anything.

Penrose Lotus Mandala = circle model of hyperbolic geometry 

I have construct it with Inkscape.

Penrose Lotus Mandala = circle model of hyperbolic geometry
Penrose Lotus Mandala.png
Portable Network Grafik Format 173.2 KB


We won the first price by "Ideenfang Award" at the IdeenExpo 2015 in Hannover

for our Kirigami project "Christmas in July".

"The mathematical Christmas tree".

20th january 2016 we driven to the Phaeno Center in Wolfsburg.

There you can explore many science and MINT.

My favorites are the Pentakis installation and the Klein Bottle.


"Pentakis" by artist Caspar Schwabe, Zürich

Look into the Kaleidoscope.

Notice the different shapes.

The center is taken up by a luminescent 20 pointed icosahedral star,

surrounded by a spherical dodecahedron.

Both shapes change their color slowly.

The three mirrors in this kaleidoscope are arranged in three spatioal dimensions according to be principle of the "golden section" "golden ratio".

This combination produces a 60x reflection,

creating a pentadodecahedron.

Less than 2% of this star exists in material form

and 98% is illusion.

The word kaleidoscope comes from Greek



skopein=to look at

and means an instrument for looking at beautiful images.


Felix Klein Bottle

Explore the special inside out space of the Klein Bottle by stepping into it.

It is easy to become a little disoriented or to feel claustrophobic in the space as the outside turns into the inside of the bootle.

The emotional reaction to being caught inside

a small space can range from

a slight anxiousness to a strong feeling of panic.

The Klein Bottle can be a confusing space to enter

or exit because the outside surface is continous with the inside surface.

IdeenExpo 2015 Hannover: 4. bis 12. Juli 2015

Kirigami - Christmas in July – Der mathematische Weihnachtsbaum


Das Problem

Manager großer Shoppingcenter geben Millionenbeträge

für tonnenschwere Weihnachtsdekoration aus.

Der TÜV muss aufpassen,

dass alles gut in den Hallen befestigt wird.

Wo soll man nach Weihnachten die ganze Deko lagern?


Wir wollen natürlich auch eine schöne Deko in der Schule.

Aber im Vorweihnachtsstress fehlt die Zeit zum Basteln.

(Wir müssen uns auf Klassenarbeiten vorbereiten und für das Krippenspiel üben).

Dann ist Weihnachten wieder so schnell vorbei,

und der Hausmeister meckert,

wenn wir aus seinem „Büro“ eine Abstellkammer machen.


Die Idee

3D Objekte sehen am Weihnachtsbaum am schönsten aus. Filigrane Arbeiten haben weniger Gewicht und bieten den Aha-Effekt.

Die Bastelarbeiten werden in den Juli verlagert.

In den Sommerferien ist uns an Regentagen nicht langweilig.

Der Werkstoff Papier ist nachhaltig und günstig.


Die Lösung

Mittels Grafikprogrammen (Inkscape, Brother Canvas) wird die Weihnachtsdeko so entworfen,

dass alles platzsparend weggeräumt werden kann.

Eine Kugel nimmt so viel Platz weg wie eine Postkarte.

Und das geht mit Kirigami, eine japanische Scherenschnittkunst. Die filigranen Bauteile schneidet uns aber ein Plotter aus.

Die Größe der Kugeln, Herzen, Würfel, Pyramiden, Flugzeuge, Schiffe, Schachfiguren und Pferdchen kann mit wenigen Klicks verändert werden.


Der FlyingGeeseBall wurde fertig.

Hat gefühlte acht Stunden lang gedauert.

Wie der Ball von der anderen Seite aussieht, sieht man,

wenn man den Ball durch die Homepageseiten gekugelt hat.

Die Fibonacci-Eulen

Und weiter geht es in der Eulenspiegelei:

Klickt hier