Parametrisation of triangular prism

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EthanC
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Hi,
I am having difficulty trying to parameterize triangular prism formed by the planes: x =0, y=0, z=0, z=1 and x+y=1.
I have tried a couple different ways to get the five surfaces in separate parameterisations using the r(u,v)=i +j+k basis.
I just need a push in the right direction but am currently perplexed.

Many thanks
 
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