There is no map projection that can represent the Earth without any distortions. This is because the Earth is a sphere, and any flat representation will inevitably distort some aspect of its shape, size, or distances.

However, some projections minimize certain distortions while emphasizing others. Here are a few examples:

* Equirectangular Projection: This projection is good for representing the entire Earth, but it significantly distorts areas near the poles, making them appear larger than they actually are.

* Mercator Projection: This projection is well-known for its use in navigation, as it preserves angles. However, it drastically exaggerates the size of landmasses near the poles, giving a misleading representation of the Earth's true size.

* Robinson Projection: This projection attempts to balance distortions by making compromises in shape, area, and distance. It's often used for world maps because it presents a relatively balanced view of the Earth.

So, what represents the Earth without distortions?

The closest representation without distortions is a globe. It's a three-dimensional model that accurately shows the Earth's shape and size. While it's not always practical for everyday use, it is the most accurate way to represent the Earth.

Ultimately, the "best" representation depends on the purpose. If you need to accurately show areas, use an equal-area projection. If you need to preserve angles for navigation, use a Mercator projection. For a balanced view of the world, the Robinson projection is a good choice.

For the most accurate representation, a globe is always the best option.