Plato’s Theory of Forms stated that the abstract ideas of shapes was more important for knowledge than the material world of sensation. It could be said that we need to use both faculties to provide the most productive outcome.

Shapes provide structure for creating new things. They fit together in particular ways and things will particular shapes work in particular ways – e.g. a long thin hydrodynamic speed boat hull or a round ball.

Shapes in the physical world (usually) behave according to the laws of physics.

Shapes form spaces for other shapes to fit inside. Shapes are linked to materiality and the possibilities of space and of events in space.

Shape is linked to Form although that also includes other attributes such as texture and weight.

There are interesting shapes such as http://en.wikipedia.org/wiki/Tesseract.

Feature image from http://www.georgehart.com/virtual-polyhedra/figs/jamnitzer-great-dodec.jpg


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