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What shape has the most surface area?
least volume and most surface area is 3D triangle
Why does sphere has the smallest surface area?
Thinking about the two dimensional equivalent, sharp corners basically waste perimeter while encompassing little additional area. As you increase the number of corners in a shape, you end up carving out more area for the same input of perimeter. As a shape's number of sides approaches larger and larger numbers, it rounds out to the point where you can think of a circle as a shape with infinite number of sides and corners. The same goes for three dimensional figures, substituting volume for area. Essentially, sharp corners are wasteful, the more corners you have the less wasteful they are, so if you have an infinite number of corners, you'll be enclosing the most volume/area with minimum surface area/perimeter.
What is a demi-regular tessellation?
no one actually knows the PROPER definition of a demi-regular tessellation but all I know is that most of them have curvy lines and/or more than one different shape in it. Some do have just one shape in it but some don't.
What is the most common shape in the world?
A square.
What shape has the most lines of symmetry?
circle
