The most accurate method of representing the Earth's surface is through the use of a globe. A globe provides a three-dimensional representation of the Earth, maintaining the accurate proportions and relationships of landmasses, bodies of water, and geographic features. Unlike two-dimensional maps, which can distort the shape, size, and distance of areas due to projection methods, globes accurately depict the Earth's spherical shape.
For specific applications, like advanced geographic information systems (GIS) or satellite imagery, additional high-precision models and data can provide detailed and accurate representations of particular regions or features. However, for general representation, a globe remains the most accurate.