Lemma 13.6.4.label Let $\curl{v_i}_{1}^{d+1}\suf\R^{d}$ be affinely independent points in $\R^{d}$. The polytope $\la=Conv(\curl{v_i}_{1}^{d+1})$ is called a d-dimensional simplex and $\la$ has nonempty interior.
Lemma 13.6.4.label Let $\curl{v_i}_{1}^{d+1}\suf\R^{d}$ be affinely independent points in $\R^{d}$. The polytope $\la=Conv(\curl{v_i}_{1}^{d+1})$ is called a d-dimensional simplex and $\la$ has nonempty interior.
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