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#105 - notyaoming (08/26/2013) [-]
Not necessarily. With a triangle, there are three possible points of failure. With a cylinder, there are no points of failure, the weight is distributed evenly across a surface with superior surface area, lessening the chance of failure.
There's a reason why the Romans chose to use columns instead of giant prisms.
TL;DR? Cylinders are the master race of geometric figures.
#119 - stratotastic (08/26/2013) [-]
Triangles are the building blocks of many structures mainly because of their ability to bear large loads without deformation. They are considered the strongest shape because a triangular structure subject to strong forces only collapses due to material fatigue and not to geometric distortion.It is easier to understand why triangles are so strong when compared to a square or rectangular structure.
Consider an equilateral triangle, which is the same as to said that all three sides are of the same length. Each side is connected to the others by a pin that allows rotation but prevents them to separate. If a load is applied to any vertex or side, is is evenly distributed by all sides and, because the sides cannot change length, the shape remains stable. When the same happens to an other shape, the forces are applied to the connectors and can make the sides pivot, collapsing the shape.As an example, take an equilateral triangle set on its base and apply a load or force to the top vertex. If this force is vertical, it is distributed by both sides and transmitted to the base. But if this force has a torque or is directed to any other direction, one of the sides is forced to rotate. It can only rotate if the other side increases its length and thus remains in the same position. With an equilateral square in the same conditions, a vertical force does not have any effect, but a torque or imbalanced force causes one side to rotate and because it is not constrained by the fixed length and the angle variation in relation to the base is easily compensated by other segments, the shape can tilt and collapse.Because of these geometrical properties, triangle are used to build strong and indeformable structures, with material strength limits, such as bridges and trusses. A truss is a simple set of triangles sharing sides ad connections. The properties of each triangle are kept and form an even stronger structure.
#109 - xlxluckyjoexlx (08/26/2013) [-]
If you're talking about points of failure, then we need to assume a triangle is each side a different piece, then we need to assume both circles are separate from the walls of the cylinder also (Making them both assembled things) While the triangle will have 3 points, the cylinder has a shit ton since its fail points will be on the circumference of each circle. Aside from that if we assume each is a solid piece of whatever (I'm saying marble in this case because of the Romans) Triangles may have a higher chance to fail, but they distribute weight much better than a cylinder, whose walls will bow out due to weight bringing the two circles together.
TL;DR- Triangles don't break themselves, cylinders do.
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