volume 28, issue 1, P19-27 2002
DOI: 10.1007/s00454-001-0079-y
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Abstract: AbstractFor a simplex in Lorentzian space whose vertices are in the positive light cone, J. R. Weeks defined the "tilt" relative to each of its faces. It gives an efficient tool for deciding whether or not the dihedral angle between two simplices holding a face in common is convex. He also provided an efficient formula, called the "tilt formula," to obtain tilts from the intrinsic geometry of the simplex when its dimension is two or three. M. Sakuma and J. R. Weeks generalized it to general dimensions. In thi…

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