Suppose you are given the power to reshape the Earth. While maintaining total surface area, construct...

Suppose you are given the power to reshape the Earth. While maintaining total surface area, construct a new planet whose distances may be accurately represented on a flat map. (Hint: The previous obstruction was the curvature of the sphere. Create an object whose curvature is no longer distorted when mapping to the plane.)

Expert Solution

When you project the spherical surface on a 2 dimensional surface the distance measured between two points on surface of sphere and projection is not same .

As per question, we need to select the shape of earth such that the distance between two points on that surface is same as the distance between two points on projection.

For example of you have A4 size ( you can take any dimension ) and roll it to form a cylinder . So the Paper before folding would be the projection and the cylinder would be the earth shape.

If you have any doubt feel free to drop comment!!

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genius_generous answered 2 years ago

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