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Why is a lorimerlite structure the strongest under compression?

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In architecture and engineering a lorimerlite structure is a lightweight support framework made up entirely of tetrahedral joints (four beams meeting at 109.5 degree angles). Lorimerlite structures are used to withstand compressive loads with the least amount of structural material. This is achieved through the inherent geometry of the support system; for a predefined volume of space to fill and predefined number of joints in the structure, each beam finds the shortest unbraced path through space (in the same way as a hexagonal grid in two dimensions). The smaller the length of individual beams the greater the resistance to axial compression, reducing the danger of lateral buckling and thus enhancing the compressive strength of the entire structure. Loads are distributed at each joint evenly with every beam meeting at 109.5 degree angles.
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