could u guys plz answer my question within 4 days i need to do this for a project.........i have to make a sandel out construction paper and use geometric figures on the bottom to support my weight What is the strongest 2D geometric figure when u have it flat on the ground and u put something on it?
Think of the joints in a frame as being pins.
Triangle is the strongest 2D, because to skew the shape, requires the ';beams'; to be in tension or compression. A square or other shape can skew by rotation of the joints.
if it's 3D you're wanting, then look at Space-frames/ truss bridges (They convert minimise ';square elements'; and maximise triangular elements!)
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paper's strongest in tension, so you need to figure out to change the compressive force (of your weight) into tension. In compression it tend to fail by buckling.
One way could be to role the paper up into lots of little vertical tubes, which bulge ever so slightly towards their middle. So long as you can prevent the tubes buckling/unrolling they should be strong enough. It converts the compression into hoop stress (a kind of tension)
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