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## Homework Statement

http://en.wikipedia.org/wiki/Affine_simplex

Can someone please explain the difference between a

*k-simplex*and an

*affine k-simplex*? Is the difference just that in a

*k-simplex*, the points do not have to be affinely independent? On the wikipedia page, they say in the introduction that the points need to be affinely independent even for a

*k-simplex*.