TILING Wallpaper groups. Maths + Informatics + Art We created symmetrical artworks by using the...
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Transcript of TILING Wallpaper groups. Maths + Informatics + Art We created symmetrical artworks by using the...
TILING
Wallpaper groups
Maths + Informatics + Art
We created symmetrical artworks by using the program Kali .
http://www.geometrygames.org/Kali/index.html
Another tool we used was Paint (or Paintbrush), a component of Windows.
Menu
Step by step A little bit of geometry Exercises Artwork gallery
Step by Step
Draw by mouse
Press Print Screen Key (or Alt + PrintScreen)
Open the program PaintPress Ctrl + V which will Paste the
screenshot into PaintCrop the pictureUse the Fill-With-Color tool and fill a
closed area with the colorSave your picture
Step by Step
Here is the final artwork
Main Menu
A little bit of geometry
What is tiling of the plane ?It is a collection of plane figures that fills the
plane with no overlaps and no gaps.
Mathematicians say that there are 17 wallpaper groups.
The Theory
of Wallpaper Groups is too complicated,
but everyone can discover some interesting things.
A symmetry of a pattern is a way of transforming the pattern so that the pattern looks exactly the same after the transformation.
Most of the Transformations
are well known: translation
rotation
reflection (mirror)
Glide Reflection
combines a reflection with a translation along the direction of the mirror line
What geometric transformation are found in
wallpaper patterns?It is different for each group. the only one (e.g. translation) a combination of two or three ones multiple using (e.g. two rotation
centres or two reflexion axes and so on) both combination and multiple using
Enough of Theory.
Visit our gallery and have a look at our works.
If you are interested in geometry, you may try exercises.
Main Menu
EXERCISES FOR YOU
Which transformation was used?
Which transformation was used? Translations
Which transformation was used?
Which transformation was used? Glide reflection
Which transformation was used?
Which transformation was used? Two perpendicular axes + rotation (center )
Which two patterns belong to the same group?
A B C
Which two patterns belong to the same group?
A C
Which two patterns belong to the same group?
A B C
Which two patterns belong to the same group?
B C
Which two patterns belong to the same group?
A B C
Which two patterns belong to the same group?
A C
Which two patterns belong to the same group?
A B C
Which two patterns belong to the same group?
B C
ARE YOU INTERESTED?
For more explanation visithttp://www.scienceu.com/geometry/articles/tiling/index.html
Main Menu
ARTWORK GALLERY
Barbora
Aneta
Nikola
Andrea
Jana
Eliška
Tatiana
Tatiana
Kristýna
Sonia
Eva
Michaela
Main Menu
The End
Gymnázium a Střední odborná škola pedagogickáZnojmo, CZ