The human visual system exhibits a remarkable ability to decipher the three-dimensional structure of the world from two-dimensional retinal images. Central to this process is the utilisation of shape ...

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Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? Probably not, but some people can. One such person was mathematician ...

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space. When you gaze out ...