Why physicists think geometry is the path to a theory of everything

Can you imagine the imprint a four-dimensional hexagon might leave as it passes through your three-dimensional kitchen table? One such person was mathematician Alicia Boole Stott, daughter of logician George Boole. Early in the 20th century, she made models of the shapes four-dimensional objects would create when passing through three-dimensional objects. Decades later, when mathematicians could check such things using computer programs, they found Boole Stott had possessed an uncanny gift for getting these shapes right. For most of us, geometry conjures up thoughts of pencils, rulers, triangles and circles.