Original: The half-plane model is identical ( at the limit ) to the Poincaré disc model at the edge of the disc The Lorentz model or hyperboloid model employs a 2-dimensional hyperboloid of revolution ( of two sheets , but using one ) embedded in 3-dimensional Minkowski space .
Simplified: The half-plane model is identical ( at the limit ) to the Poincaré disc model at the edge of the disc This model has direct application to special relativity , as Minkowski 3-space is a model for spacetime , suppressing one spatial dimension .