TESELACIÓN DE LA PUERTA DEL MEXUAR (ORATORIO) DE LA ALHAMBRA

Utilizamos las opciones básicas de Geogebra sobre puntos, rectas y polígonos. También aplicamos giros.
Para esa actividad necesitamos el archIvo "CUADRÍCULA" creado en la actividad anterior.[br]Empezaremos dibujando una circuferencia, para posteriormente utilizar la intersección de varios objetos hasta tener un polígono estrellado (estrella de 8 puntas).[br]Al final creamos una poligonal abierta que giraremos varias veces hasta formar la loseta principal de la teselación.[br]Utiliza los botones de reproducción para ver el proceso de la construcción.[br]Al final de esta hoja encontrarás los pasos que debes seguir con los alumnos.
Crea la pieza principal de una teselación:
1º.- Abrir el archivo "CUADRÍCULA".[br][br]2º.- Vamos a dibujar una estrella de ocho puntas:[list][*] 2ºA.- Seleciona el icono [img]data:image/png;base64,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[/img] y marca el centro de la circunferencia y cuatro puntos de ella. [/*][*] 2ºB.- Selecciona el icono [img]data:image/png;base64,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[/img] y representa la circunferencia. [/*][*] 2ºC.- Selecciona el icono [img]data:image/png;base64,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[/img] y marca las intersecciones de la circunferencia y las rectas de la cuadrícula [/*][*] 2ºD.- Selecciona el icono [img]data:image/png;base64,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[/img] y representa las cuatro re.ctas inclinadas (unen puntos no consecutivos de la circunferencia). [/*][*] 2ºE.- Selecciona el icono [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACwAAAAsCAIAAACR5s1WAAACYElEQVRYhdVYQYvTQBR+PyH/YEeKC91d5Anq4u39hDkoXkf2DwRPipRZr0LJSVwPy7DoQQRJkR5L5lZWEAZ68ThQvE+hBI/xEK21tc20zaT6eIQwIZOPL9/73szA5B8ImEwm8ODNHvM3iC/fvu8lF0EAQJPXnzfLTJzc/thYrmSiSRAVTLTbV0HTi4l2+6oIFjMQ1Uw0AOI/YcJaGxpENRNEJIRwzoUD4aUJpRQiJkkSCISvJpxzcRwjojGmdhCbVYfWukZKtq8O55wQgnO+o0qstbv6RKmS7X6N1ppzTkQ1+IQxhjG2EY40TYmIc661LupyTGMMIpYzrg+lFGNMCDHvOrU5pnMOEZVSq55KKRljUsplDdXZO5xzRKSUklLOPmatFUKU+FZJuObeoZSKAGIAAoiiaPb59W/V3EWJSAEUAAUAAkgpfd6qmQlEnAfh6Wb1MOGcS5IEETnnEcA5AAeIosiz8e7KhLVWSomIMyUqpTjnQggi8inanZgoZc8YW6U7ay0i+pj6NkzM7DZN0/WzJ0kSx7E/CN/1RLm08eS5KApErFTGBkws261PaK2JyBNENRNbt+xKhTax2q4ko6F9BxGt6fUN7TvSNBVCzI+MRqN+v59lWZZlBwdPb9x8cdB6HnwHtuAZ4/G40+kMBoPsV4jHTz4Nv4bdgcVxvGBrvV5vOByW99fXn++cdoIzYYzhnM+P5Hne7Xan02me5w8fPTu69a5aEyGy1Tq/uHh7efn+BF9WV0e4vHvv7PT+2TF+qK6OcHl4/Prw6NU6n2j44OzvTOwl/wCx/8PUvccP+bwgFpq0t/QAAAAASUVORK5CYII=[/img] y marca las intersecciones de las rectas rojas con las rectas de la cuadrícula. Se formará un octógono (no regular) dentro de la circunferencia. [/*][*] 1ºF.- Seleccionar el icono[img]data:image/png;base64,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[/img] y crea la estrella de ocho puntas. [/*][/list][br]3º.- Vamos a dibujar una línea poligonal abierta.[br][list][*]3ºA.- Selecciona el icono [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACwAAAAsCAIAAACR5s1WAAACYElEQVRYhdVYQYvTQBR+PyH/YEeKC91d5Anq4u39hDkoXkf2DwRPipRZr0LJSVwPy7DoQQRJkR5L5lZWEAZ68ThQvE+hBI/xEK21tc20zaT6eIQwIZOPL9/73szA5B8ImEwm8ODNHvM3iC/fvu8lF0EAQJPXnzfLTJzc/thYrmSiSRAVTLTbV0HTi4l2+6oIFjMQ1Uw0AOI/YcJaGxpENRNEJIRwzoUD4aUJpRQiJkkSCISvJpxzcRwjojGmdhCbVYfWukZKtq8O55wQgnO+o0qstbv6RKmS7X6N1ppzTkQ1+IQxhjG2EY40TYmIc661LupyTGMMIpYzrg+lFGNMCDHvOrU5pnMOEZVSq55KKRljUsplDdXZO5xzRKSUklLOPmatFUKU+FZJuObeoZSKAGIAAoiiaPb59W/V3EWJSAEUAAUAAkgpfd6qmQlEnAfh6Wb1MOGcS5IEETnnEcA5AAeIosiz8e7KhLVWSomIMyUqpTjnQggi8inanZgoZc8YW6U7ay0i+pj6NkzM7DZN0/WzJ0kSx7E/CN/1RLm08eS5KApErFTGBkws261PaK2JyBNENRNbt+xKhTax2q4ko6F9BxGt6fUN7TvSNBVCzI+MRqN+v59lWZZlBwdPb9x8cdB6HnwHtuAZ4/G40+kMBoPsV4jHTz4Nv4bdgcVxvGBrvV5vOByW99fXn++cdoIzYYzhnM+P5Hne7Xan02me5w8fPTu69a5aEyGy1Tq/uHh7efn+BF9WV0e4vHvv7PT+2TF+qK6OcHl4/Prw6NU6n2j44OzvTOwl/wCx/8PUvccP+bwgFpq0t/QAAAAASUVORK5CYII=[/img] y marca los ocho vértices de la poligonal.[/*][*]3ºB.- Selecciona el icono [img]data:image/png;base64,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[/img] ,empezando en el punto superior derecho ir marcando todos los puntos de la poligonal hasta volver al inicio (el último segmento no aparecerá).[br][/*][/list][br][br]4º.- Vamos a girar la poligonal para terminar nuestra pieza:[br][list][*]4ºA.- Selecciona el icono [img]data:image/png;base64,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[/img] y rota (gira) la poligonal alrededor del centro de la circunferencia un águlo de 90º en sentido horario[/*][*]4ºB.- Si quieres rellenar de color la poligonal, tendrás que crear los polígonos asociados a ella.[/*][/list][br]5º.- Guarda el archivo con el nombre "MEXUAR".
PREGUNTA SOBRE EL APPLET:
Si la distancia entre rectas de la cuadrícula es de 1 cm.[br]¿Cuál es la altura del triángulo azul? 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[/img]
2 ACTIVIDADES PARA COMPLETAR EL MOSAICO O TESELACIÓN (para alumnos con tiempo)
1ª ACT: Podemos trasladar la pieza 6 unidades a la derecha, luego 12, 18... (utilizando el vector u)[br]1º.- Selecciona el icono [img]data:image/png;base64,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[/img] para trasladar la estrella, según el vector "6u".[br]2º.- Haz lo mismo con las poligonales.[br][br]Podemos trasladar las pizas 6 unidades hacia abajo, luego 12... (utilizando el vector v)[br]3º.- Selecciona el icono [img]data:image/png;base64,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[/img] para trasladar la estrella inicial, según el vector "6v".[br]4º.- Haz lo mismo con los demás elementos anteriores y tendrás la teselación completa.[br]   [img]data:image/png;base64,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[/img][br][br]2ª ACT: Podemos utilizar un botón para que desaparezcan las rectas auxiliares (incluyendo nuestra cuadrícula):[br][br]1º.- Cada vez que creamos un objeto, por defecto el ordenador lo crea en la "Capa 0". Así pues todos nuestros objetos se encuentran en la capa 0. La capa se puede ver desplegando el menú propiedades de un objeto y seleccionando la pestaña "Avanzado".[br]2º.- En la ventana algebraica seleccionamos todas las rectas, pulsamos botón derecho, vamos a las propiedades del objeto y en la pestaña "Avanzado" seleccionamos la "Capa 1".[br]3º.- Selecciona el icono [img]data:image/png;base64,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[/img] y crea un "Botón" que se llame "OCULTA RECTAS" y escribe en el "Guión de Geogebra":[br]OcultaCapa(1)[br]MuestraCapa(2)[br]4º.- Selecciona el icono [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAC8AAAAsCAIAAAB60XZVAAACC0lEQVRYhe2YzUoDMRDH5xHyBq0UhapIBD/w5iPkoHiN+ALBkyIlehXKnvw6SBBFRJAU7bFsbqWCsNCLx4XiPUJZPK6HaFg/qq42uyodhmWSPeTPb2cm2cD9bzLIW8ALg93Tq6do4SBHf0fNzd1DLt5TDQBk+XwKPmAzPnmRmX/OJks1X2VTLh859XRsyuWj2JlZNSnYZKBmwKa3mj/OhnM+3yfjnP+IjRCCUtovJJRSIcT32XDOlVL9UqOUMni+yca1mv/IJgxDpZSUMggCOxkEQRiGJtZaK6Xs0CEbxhgAIIQQQgBg09xWjdYaY4wx1lq7ZSOlBADP88xQCAEAplKMml5SnLAhhGCMkzOml5iAMdZLihM2dm1rpj2aV+Y4l0wmt2zeqmGMWTWEEIRQdmwopcViMTmDMSaExM95YxLrlWJXbJRSyTryPA8ApJRxoqbM5NstxUm/MXVkjTFmP6LdFymlttYcsjFmu1+yvyW7n1n7VToP9qk0av4yG9enrdTnYqcn0cE/QxzHcdxut+v1uu/7vu8XCmtDw1uF0kZubDqdTqVSaTQa/rPR5dXL5m1u/1O1Wq3ZbJq41bqemq3kmTdRFFWr1W63G0XR4tL66MRJirxx4aXS5v7+8eHh2TjeTlFT7nx6ZmV2bmUMn6eoKXc+MrY3MrrzpX6T8S3kJ2xy8ffV5H57/QiyKspg+cBnAQAAAABJRU5ErkJggg==[/img] y crea un "Botón" que se llame "MUESTRA RECTAS" y escribe en el "Guión de Geogebra":[br]MuestraCapa(1)[br]OcultaCapa(2)[br][br]5º.- Pon el botón "OCULTA RECTAS" en la "Capa 1" y el botón "MUESTRA RECTAS" en la "Capa 2".
Cerrar

Información: TESELACIÓN DE LA PUERTA DEL MEXUAR (ORATORIO) DE LA ALHAMBRA