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Projective Geometry

On the last day of the half term, the maths and physics students in Class Eleven met with Sophia Montefiore, to be introduced to Projective Geometry. This is a branch of mathematics, art, and philosophy which looks at how shapes are transformed by projection. Investigations focus into how the shape of a shadow is changed by the orientation of an object, the position of the sun and the perspective of the viewer, it also looks at how these shapes appear and reappear throughout nature.

They began by illustrating Desargue's Theorem. The triangles are in perspective centrally from the "sun" point, and therefore in perspective axially from the horizon line. This is also true of the negative space triangles on the far side of the horizon.

Here is some of their work: