A proper "Material-Shape-Production" triangle consists of a specific material, a shape that can be formed from that material, and the production method used to create that shape.
Let's analyze each option:
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Wood - Plank - Forming: This combination makes sense as wood can be formed into planks, but forming is a broader term typically used for metals rather than wood.
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Ceramics - Pottery - Joining: Ceramics can be shaped into pottery, but joining is not a typical method for producing pottery, which is more commonly associated with shaping methods like molding or casting.
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Fibre reinforced polymer - Tubes - Lay-up: This combination is reasonable. Fibre reinforced polymers can be formed into tubes, and the lay-up method is a common production technique for such materials.
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Aluminium - Double curved - Forming: This combination is also proper as aluminum can be shaped into double curved forms, and forming is an appropriate production method for aluminum.
Considering this analysis, both the third option (Fibre reinforced polymer - Tubes - Lay-up) and the fourth option (Aluminium - Double curved - Forming) are proper "Material-Shape-Production" triangles. However, if you have to pick one correct option from the list, Fibre reinforced polymer - Tubes - Lay-up is the most precise due to the specific nature of the material and shape in relation to the method.