TRIÁNGULO DE SIERPINSKI

[justify]Un fractal es un objeto geométrico cuya estructura básica se repite a diferentes escalas.[br][br]El matemático polaco Waclav Sierpinski construyó en 1919 uno de los fractales más famosos: se trata de una figura que se construye a partir de un triángulo equilátero del modo que puedes observar en la siguiente aplicación. [br][br]Intentaremos determinar cuántos triángulos componen el llamado Triángulo de Sierpinski en cada uno de sus pasos de construcción, así como la medida de su área.[/justify]
[color=#808080]Usa la aplicación y responde:[br][br][/color] 1. Mueve el deslizador del paso 1 al paso 2. Describe lo que ha ocurrido.[br] 2. Mueve el deslizador para observar los cambios en cada paso. Intenta describir en tu cuaderno cómo se obtiene el triángulo de Sierpinski.[br] 3. ¿Cuántos triángulos naranjas hay en el paso 3? ¿Y en el paso 4?[br] 4. Completa la siguiente tabla:[br][img]data:image/png;base64,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[/img][br] 5. ¿Cuántos triángulos hay en el interior?[br][img]data:image/png;base64,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[/img] [br] 6. ¿Qué fracción del área inicial representa la zona naranja en el paso 3? Completa la 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[/img] [br] 7. Busca en internet otros tipos de fractales y manda unas imágenes.[br] 8. Construye por ti mismo un fractal en papel. Aquí te dejo un vídeo para que lo realices tu.
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