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Magic Mathworks Travelling Circus
Experiencing Mathematics through Sight, Sound, Touch and Movement

Masterclass: experiments in projective geometry (secondary)

Experiments in projective geometry (pdf)

As is usual in our workshops, we emphasise work which brings in the third dimension. The topic lends itself to this

As is usual in our workshops, we emphasise work which brings in the third dimension. The topic lends itself to this treatment since several of the results stated for two-dimensional configurations are more easily seen when the 3-D analogue is taken. We neglect what is arguably the most important concept in projective geometry: the duality of lines and points. And we do not discuss the diagrams as configurations.

The workshop has two parts.

In Part 1 we make use of a Dürer screen but also produce some of the same projections by construction.

In Part 2 we look at the surprising collineations which appear in the theorems of projective geometry, removing the surprise by moving into the third dimension.

  

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