Create your own tesellation

As a final task of our integrated unit "Geometry in the Alhambra" you have to create your own tesellation using the application Geogebra. Remember you can start your construction with a square, as I explained in class, or with a equilateral triangle, as you can see in this video:

Visiting the Alhambra

Last week we were working on a new integrated unit about the Alhambra.

First we watched this video in class:

 Remember the tasks and activities we did:

TASK 1: Investiga un poco sobre la relación entre las matemáticas y la Alhambra, y busca la respuesta a esta pregunta:

1) ¿Por qué los árabes usaban tanto la geometría para las decoraciones de sus palacios?

2) ¿Cuál es el número áureo o de oro? ¿Por qué es tan importante?

3) ¿Qué es un rectángulo áureo? ¿En qué lugar de la Alhambra podemos encontrar rectángulos áureos?

You can begin your research with the following links:

https://nosvamosagranada.wikispaces.com/ALHAMBRA

https://prezi.com/fzuzzwuuje8i/la-alhambra/

https://prezi.com/qruaat8s78nc/las-matematicas-y-la-alhambra/

 

Task 2: What is a tessellation?

Activity 1: Cover the space on the following rectangle by drawing polygons. Do it your own way. The only rule is to not leave gaps between the polygons.

Activity 2: Is it possible to cover a surface with other regular polygons?

Activity 3: Geometric transformations: Translation, Rotation and Reflection.

Task 3: What tessellations can we find in the Alhambra?

Activity 1: “El hueso nazarí”

http://concurso.cnice.mec.es/cnice2006/material105/Mosaicos/hueso.htm

Activity 2: “El avión nazarí”
http://concurso.cnice.mec.es/cnice2006/material105/Mosaicos/avion.htm

Activity 3: “La pajarita nazarí”
http://concurso.cnice.mec.es/cnice2006/material105/Mosaicos/pajarita.htm