[i]Construir un mosaico utilizando un triángulo cualquiera.[/i][br][br]Dibujamos un triángulo ABC que rellenamos de color y en él marcamos los vectores AB y AC.[br][img width=191,height=93]data:image/png;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCABdAL8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiqWsXcljo95dwgGSGFnQMMjIHHHeq2h6hcXpuo7k5aBwATA0LEFQeUJOPrnmtVSk4OfRf1+or62NaiiishhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBHcW8V1byW86CSKVSjqejA9RXGeM/FMfw9tLNdP0oXBvZG3F5CANoHVuSSc8fQ12xIAJJwB3rDaKHWZjdXUEc1svFtHKgYY7vg9z29vrWlOqoSSmrx6q9rjUbl/R9Vg1rSrbUIOFnjVyhILISM7T7ir1Y8thBJJ5yBoJ+0sJ2t+PY/jmnpeX9rxPGLyP+/ENsg+q9D+H5Vhzdy+S+xq0VXtb62vATBKGK/eQ8Mv1B5FWKtO5DTW4UUUUCCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqrqF6LK23qvmSuQkUf99z0H9T7A0m7ajSu7IqanKbyf+zY2ITAa5Ydl7J9W/ln1qUAAAAAAcADtUNpbm2hId/Mldi8sn99j1P07D2FTVC7s0fZBRRRTERT2sNwQ0ifOv3ZFO11+hHNIk2oWnRhexD+F8JIPx6N+OKmopWHfoyW11O1un8pXMcw6wyja4/A9fwq3WXPbw3SbJ4lkUdNw6fQ9qjQX1n/x7T/aIx/yxuDyPo/X880+ZrcXKnsbFFUINWgkcRTq1rMeiTcbvoeh/Cr9UmnsQ01uFFFFMQUUUUAFFFFABRRRQAUUUUAFFFFACEhQSSABySaxoXN/dHUHz5QBS1U/3e7/AFb+X1qXU5DeT/2bGT5YAa5Yf3eyfVv5fWpcADAGAOgFZt3ZqlZBRRRTEFFFFABRRRQAUUUUANkjSWMxyoroeqsMg1AkFxaf8eNwVUf8sZsun4Hqv8varNFKw02ImrxowS9ia1Y8BmOYz9G6fnitAEMAQQQehFUCAQQQCD1B71WWzNud1jM1sf7gG6M/8B7fhindoVk/I2aKy11aS341C3MQ/wCe0WXj/Huv4j8a0YpY5oxJFIsiN0ZTkH8apNMlxa3H0UUUyQooooAKKKKACq1/d/Y7Yuq75WOyJP77HoP89hSQ6hbT389jG5M9uFMi4PAPTB71weh+EvF9t43vdRvtUzaMZPLd380OGPACE/KRx6dO9aez92V3ZpX16+n5gmrq52Frb/Z4drNvkcl5X/vsep/oPYVNUf8AZ2o/9BKL/wABR/8AFUf2dqP/AEEov/AUf/FVz69jV2fX8ySio/7O1H/oJRf+Ao/+Ko/s7Uf+glF/4Cj/AOKo17Bp3/MkoqP+ztR/6CUX/gKP/iqP7O1H/oJRf+Ao/wDiqNewad/zJKKj/s7Uf+glF/4Cj/4qj+ztR/6CUX/gKP8A4qjXsGnf8ySio/7O1H/oJRf+Ao/+Ko/s7Uf+glF/4Cj/AOKo17Bp3/MkoqP+ztR/6CUX/gKP/iqP7O1H/oJRf+Ao/wDiqNewad/zJKKj/s7Uf+glF/4Cj/4qj+ztR/6CUX/gKP8A4qjXsGnf8yWqrWMayGa2d7WU8louA31Xoal/s7Uf+glF/wCAo/8AiqP7O1H/AKCUX/gKP/iqGm+g00uv5iLqN3a8Xtv50Y/5bWwJx9U6j8M1ftru3vIvMtpklX1U5x7H0qj/AGfqX/QTi/8AAUf/ABVUdR8PahcwTtbapHb3jRssc8dvsYNjjJDcj65oTl2E1B9ToqK4r4caD4l0O2vU8QXbyiRwYo3m80qRnLBvQ8ce1drXRUgoTcU726oxWoUUUVmMx7LQjaaiL/7VI8ztJ54ZiUYMcgKucLghf1rYooq51JTd5CSsFFFFQMKKKKACiiigAooooAKKKKACiiigAooooAKKKKACqOszTwaVPJblldQMsoyVXI3MB6gZP4VeoqovlkmBnaRPbzJKtreyXcMbACRzuGccgP8Axf06Vo0gAAwBilonJSldAf/Z[/img][br]Utilizando la herramienta Traslada objeto por vector realizamos dos traslaciones del triángulo ABC, tomando como vectores AB y AC, respectivamente.[br][img width=198,height=94]data:image/png;base64,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[/img][br]Repitiendo el proceso de traslación sobre los nuevos triángulos, utilizando los mismos vectores, obtendremos el mosaico formado con el triángulo ABC.[br][br]

También lo podemos rellenar a partir de un triángulo cualquiera ABC, al que dibujamos los puntos medios de sus lados.[br][img width=196,height=167]data:image/png;base64,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[/img][br]Seleccionando la herramienta [b]Simetría central[/b], aplicamos una simetría al triángulo con respecto a cada  uno de los puntos medios de cada uno de los lados.