Proposition 3.1.1. [04PB]

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Proposition 3.1.1.

Let $\rho_{\mathscr{X}}$ be the retraction associated with the model $\mathscr{X}$ , and endow $\emph{Sk}(X)$ with the $\mathbb{Z}$ -affine structure induced by $\rho_{\mathscr{X}}$ away from the codimension 2 faces of $\Sk(\mathscr{X})$ . Then $\Star(\tau_{C})$ is $\mathbb{Z}$ -affine isomorphic to the union of the simplices $<v_{0},v_{1},\ldots,v_{n}>$ and $<v_{1},\ldots,v_{n},v_{\infty}>$ in $\mathbb{R}^{n}$ where

$v_{0}=(1,0,\ldots,0)$ , $v_{1}=(0,1,\ldots,0)$ ,…, $v_{n}=0$ and $v_{\infty}=(-1,b_{1},\ldots,b_{n-1})$ .