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TESSELATIONS Made by: Zuzanna
Pokojowa VIIc
WHAT IS A TESSELATION
(PARQUETES) ?
Tesselation (in Polish- parquet) is covering the surface with adjacent
polygons and do not occur.
Types of tesselation of the surface: Types of
parquetes:
- periodic tesselation - Platonic
parquetes
- symmetrical tesselation - Johnson’s
parquetes
- regular tesselation - Archimedean
parquetes
EXAMPLES OF PERIODIC SYMMETRIC
REGULAR (PLATONIC) PARQUETES
[ 6,6,6 ] [ 4,4,4,4 ] [ 3,3,3,3,3,3 ]
There are only three such
parquetes
MY PARQUETES AND THE STAGES
OF THEIR FORMATION
There is a platonic parquet made of squares. All sides
have four centimeters. Arranged evenly with each other,
they fill all the available surface, they form Platonic
parquet.
MY ARCHIMEDEAN PARQUET
I made here a Archimedean parquet. It’s made from symmetric
hexagons and symmetric triangles cut from color paper.
TESSELATIONS-WHAT’S THAT AND
WHO MADE IT?
Maurits Cornelis Escher- Dutch painter and
graphic artist. He gained worldwide fame as a
graphic designer, in which- often from
mathematical inspirations- spatial forms were
presented in a way contrary to visual
experience.
Tesselation means regular division of the surface into
”cells”. The Latin word ”tessela” means a small square tile
which was used in ancient Rome to do mosaics.
FEW ESCHER’S TESSELATIONS
MY TESSELATIONS
The shape of my tesselation was made from rectangle. Then
the pattern drawn by me was cut from above and glued by tape
at the bottom in the same place. The same was on the left side,
and that is the pattern made for tesselation. After doing these
activities, I drawn a matching pattern on each page on paper
In this tesselation the pattern was also created from rectangle. Then, after
making the pattern, again draw the pattern on the cardboard. In my case, I cut
out of colored paper the same pattern few times and put it together, as shown
at the pictures.
SOURCES OF INFORMATION ON
PARQUETES, TESSELATIONS AND
ESCHER
https://pl.wikipedia.org/wiki/Parkieta%C5%BC
Https://pl.wikipedia.org/wiki/Maurits_Cornelis_Escher
http://www.matematyka.wroc.pl/doniesienia/tesselacja
https://pl.pinterest.com/pin/18014467232053438/
http://www.decorimpresja.pl/monte/podstaw/przedmiot_p/matma/p
arkiet/parkiet03.htm
THANKS FOR YOUR
ATTENTION 

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Escher - tesselations

  • 1. TESSELATIONS Made by: Zuzanna Pokojowa VIIc
  • 2. WHAT IS A TESSELATION (PARQUETES) ? Tesselation (in Polish- parquet) is covering the surface with adjacent polygons and do not occur. Types of tesselation of the surface: Types of parquetes: - periodic tesselation - Platonic parquetes - symmetrical tesselation - Johnson’s parquetes - regular tesselation - Archimedean parquetes
  • 3. EXAMPLES OF PERIODIC SYMMETRIC REGULAR (PLATONIC) PARQUETES [ 6,6,6 ] [ 4,4,4,4 ] [ 3,3,3,3,3,3 ] There are only three such parquetes
  • 4. MY PARQUETES AND THE STAGES OF THEIR FORMATION There is a platonic parquet made of squares. All sides have four centimeters. Arranged evenly with each other, they fill all the available surface, they form Platonic parquet.
  • 5. MY ARCHIMEDEAN PARQUET I made here a Archimedean parquet. It’s made from symmetric hexagons and symmetric triangles cut from color paper.
  • 6. TESSELATIONS-WHAT’S THAT AND WHO MADE IT? Maurits Cornelis Escher- Dutch painter and graphic artist. He gained worldwide fame as a graphic designer, in which- often from mathematical inspirations- spatial forms were presented in a way contrary to visual experience. Tesselation means regular division of the surface into ”cells”. The Latin word ”tessela” means a small square tile which was used in ancient Rome to do mosaics.
  • 8. MY TESSELATIONS The shape of my tesselation was made from rectangle. Then the pattern drawn by me was cut from above and glued by tape at the bottom in the same place. The same was on the left side, and that is the pattern made for tesselation. After doing these activities, I drawn a matching pattern on each page on paper
  • 9. In this tesselation the pattern was also created from rectangle. Then, after making the pattern, again draw the pattern on the cardboard. In my case, I cut out of colored paper the same pattern few times and put it together, as shown at the pictures.
  • 10. SOURCES OF INFORMATION ON PARQUETES, TESSELATIONS AND ESCHER https://pl.wikipedia.org/wiki/Parkieta%C5%BC Https://pl.wikipedia.org/wiki/Maurits_Cornelis_Escher http://www.matematyka.wroc.pl/doniesienia/tesselacja https://pl.pinterest.com/pin/18014467232053438/ http://www.decorimpresja.pl/monte/podstaw/przedmiot_p/matma/p arkiet/parkiet03.htm