[justify]Um robô, que tem um ímã em sua base, se desloca sobre a superfície externa de um cubo metálico, ao longo de segmentos de reta cujas extremidades são pontos médios de arestas e centros de faces. Ele inicia seu deslocamento no ponto P, centro da face superior do cubo, segue para o centro da próxima face, converte à esquerda e segue para o centro da face seguinte, converte à direita e continua sua movimentação, sempre alternando entre conversões à esquerda e à direita quando alcança o centro de uma face. O robô só termina sua movimentação quando retorna ao ponto P. A figura apresenta os deslocamentos iniciais desse robô.[/justify][center][img]data:image/png;base64,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[/img][/center]A projeção ortogonal do trajeto descrito por esse robô sobre o plano da base, após terminada sua movimentação, visualizada da posição em que se está enxergando esse cubo, é