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The AlcAzar of Seville and its mosaics.
Made by : Lamiae Margoula , África machuca , Josué Ocaña.
1. History
2. Mosaics in The Alcázar.
2.1. What is a mosaic?
2.2. What is a frieze?
2.3. How are they formed?
3. Some mosaics and their classification.
INDEX
1. History
The Real Alcázar of Seville was rebuilt in 1364 as a palace for Don Pedro, a Christian king
of Castile in the Mudejar style. Although there have been alterations and additions over
the centuries, this remarkably well-preserved place was originally built by a Christian
ruler in the Islamic style of Andalusia and retains Islamic character like the Mudejar tiles
from this time period.
Since all 17 planar crystallographic groups are now believed to be represented in the
tilings of the Alhambra , one wonders if the same may be said of the ornament found in
the Alcázar. This paper will briefly discuss the history of the Alcázar , illustrate and
classify some of the planar designs as to the isometries they permit .
The Real Alcázar palaces, as early as 712 , were erected by the invading Islamic armies near the shores of
Seville´s Guadalquivir river and the current site of the Real Alcazár .
Although few remains of the these Moorish structures exist , portions of the high encircling walls , built in
the 11th century , may still be seen today.
Although on november,1248 Seville was reconquered by the Christians under King Ferdinand III of Castile and
Leon, it didn´t stop to remain under the influence of islamic artistic models . Due to the continued existence
of the Nasrid dynasty in Granada . During the years 1362 and 1391 it was considered the golden age of Nasrid
rule , many buildings of the Alhambra were erected and lavishly decorated with geometric mosaic tiles ,
vegetal patterns , inscriptions and stucco , giving that palace complex its present appearance . The Alcázar
has been used as a residence by the Spanish royal family ever since 1248 because of how attractive they
thought this palace of Mudejar art was.
It is a remarkably well preserved palace , having undergone many alterations and additions over the centuries
. The Real Alcázar also retains its Islamic character , containing some of the most beautiful examples of
Mudejar alicatado from this time period.
2. Mosaic in The Alcázar.
One of the most important characteristics of the Mudéjar
style is the amount of mosaics that there are.
2.1. What is a mosaic?
A mosaic is a piece of art or image made from the
assembling of small pieces of colored glass, stone, or
other materials.We can make a mosaic in two possible
ways: creating a single image or repeating the same
pattern several times. We are going to focus on the
second.
2.2. What is a frieze?
Horizontal band of tiles, cloth, wallpaper, etc., with which
the lower or upper part of a wall is protected
or decorated with the same pattern.
2.3. How are they formed?
We can make a mosaic or frieze with
this methods:
● TRANSLATION OR SLIDE: A
translation of vector v is a
direct movement that takes
each point P to another Tv (P)
so that the vector PTv (P) has
the same module, direction and
sense as the vector v.
huhhgihihhhuuuikkkhu
click HERE to see translations in geogebra
(África)
• ROTATION : Rotation has a central point that stays fixed and
everything else moves around that point in a circle . The distance
from the center to any point in the figure is the same . A “ Full
Rotation “ is 360º.
A rotation is determined by these three elements :
• An angle that determines the amplitude of the rotation .
• A point called center of rotation .
• A sense of rotation that can be of the same direction as the clock´s
(clockwise) or counterclockwise.
click Here to see rotations in Geogebra (Lamiae)
● SYMMETRY: Symmetry in everyday language refers to a sense of
harmonious and beautiful proportion and balance. In mathematics,
"symmetry" has a more precise definition, that an object is invariant to
any of various transformations; including reflection, rotation or scaling.
➔ Axial symmetry :an axial symmetry is a transformation,
therefore each point P on the plane maps another point
P’ also of the plane, so that the axis would be the
perpendicular bisector of the segment PP’.
➔ Central symmetry : a central symmetry, centered at
point O, is a movement of the plane where every point P
of the plane has to map to another point P’, being O the
average point of the segment of endpoints P and P’.
Note that a central symmetry is equivalent to a rotation
of 180º.
Click here to see how to make a central
symmetry in Geogebra (Josu)
● Glide symmetry:
A glide reflection is a combination of a
translation and a reflection.
The vector of translation V and the axis
of reflection M must be parallel to each
other.
3. Some mosaics and their classification
Rotation Translation Symmetries Glide symmetry
Click here to see how to make a
mosaic (Josu)

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The alcazar of seville and its mosaics

  • 1.
  • 2. The AlcAzar of Seville and its mosaics. Made by : Lamiae Margoula , África machuca , Josué Ocaña.
  • 3. 1. History 2. Mosaics in The Alcázar. 2.1. What is a mosaic? 2.2. What is a frieze? 2.3. How are they formed? 3. Some mosaics and their classification. INDEX
  • 4. 1. History The Real Alcázar of Seville was rebuilt in 1364 as a palace for Don Pedro, a Christian king of Castile in the Mudejar style. Although there have been alterations and additions over the centuries, this remarkably well-preserved place was originally built by a Christian ruler in the Islamic style of Andalusia and retains Islamic character like the Mudejar tiles from this time period. Since all 17 planar crystallographic groups are now believed to be represented in the tilings of the Alhambra , one wonders if the same may be said of the ornament found in the Alcázar. This paper will briefly discuss the history of the Alcázar , illustrate and classify some of the planar designs as to the isometries they permit .
  • 5. The Real Alcázar palaces, as early as 712 , were erected by the invading Islamic armies near the shores of Seville´s Guadalquivir river and the current site of the Real Alcazár . Although few remains of the these Moorish structures exist , portions of the high encircling walls , built in the 11th century , may still be seen today.
  • 6. Although on november,1248 Seville was reconquered by the Christians under King Ferdinand III of Castile and Leon, it didn´t stop to remain under the influence of islamic artistic models . Due to the continued existence of the Nasrid dynasty in Granada . During the years 1362 and 1391 it was considered the golden age of Nasrid rule , many buildings of the Alhambra were erected and lavishly decorated with geometric mosaic tiles , vegetal patterns , inscriptions and stucco , giving that palace complex its present appearance . The Alcázar has been used as a residence by the Spanish royal family ever since 1248 because of how attractive they thought this palace of Mudejar art was. It is a remarkably well preserved palace , having undergone many alterations and additions over the centuries . The Real Alcázar also retains its Islamic character , containing some of the most beautiful examples of Mudejar alicatado from this time period.
  • 7.
  • 8. 2. Mosaic in The Alcázar. One of the most important characteristics of the Mudéjar style is the amount of mosaics that there are. 2.1. What is a mosaic? A mosaic is a piece of art or image made from the assembling of small pieces of colored glass, stone, or other materials.We can make a mosaic in two possible ways: creating a single image or repeating the same pattern several times. We are going to focus on the second. 2.2. What is a frieze? Horizontal band of tiles, cloth, wallpaper, etc., with which the lower or upper part of a wall is protected or decorated with the same pattern.
  • 9. 2.3. How are they formed? We can make a mosaic or frieze with this methods: ● TRANSLATION OR SLIDE: A translation of vector v is a direct movement that takes each point P to another Tv (P) so that the vector PTv (P) has the same module, direction and sense as the vector v. huhhgihihhhuuuikkkhu click HERE to see translations in geogebra (África)
  • 10. • ROTATION : Rotation has a central point that stays fixed and everything else moves around that point in a circle . The distance from the center to any point in the figure is the same . A “ Full Rotation “ is 360º. A rotation is determined by these three elements : • An angle that determines the amplitude of the rotation . • A point called center of rotation . • A sense of rotation that can be of the same direction as the clock´s (clockwise) or counterclockwise. click Here to see rotations in Geogebra (Lamiae)
  • 11. ● SYMMETRY: Symmetry in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, that an object is invariant to any of various transformations; including reflection, rotation or scaling. ➔ Axial symmetry :an axial symmetry is a transformation, therefore each point P on the plane maps another point P’ also of the plane, so that the axis would be the perpendicular bisector of the segment PP’. ➔ Central symmetry : a central symmetry, centered at point O, is a movement of the plane where every point P of the plane has to map to another point P’, being O the average point of the segment of endpoints P and P’. Note that a central symmetry is equivalent to a rotation of 180º. Click here to see how to make a central symmetry in Geogebra (Josu)
  • 12. ● Glide symmetry: A glide reflection is a combination of a translation and a reflection. The vector of translation V and the axis of reflection M must be parallel to each other.
  • 13. 3. Some mosaics and their classification Rotation Translation Symmetries Glide symmetry Click here to see how to make a mosaic (Josu)