Exercício 15. Brinquedo

[center][/center]Muitos brinquedos que frequentemente são encontrados em praças e parques públicos apresentam formatos de figuras geométricas bidimensionais e tridimensionais. Uma empresa foi contratada para desenvolver uma nova forma de brinquedo. A proposta apresentada pela empresa foi de uma estrutura formada apenas por hastes metálicas, conectadas umas às outras, como apresentado na figura. As hastes de mesma tonalidade e espessura são congruentes.[br][center][img]data:image/png;base64,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[/img][/center][br]Com base na proposta apresentada, quantas figuras geométricas planas de cada tipo são formadas pela união das hastes?
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Information: Exercício 15. Brinquedo