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math.GT2002
The Number of Triangles Needed to Span a Polygon Embedded in R^d
Joel Hass, Jeffrey C. Lagarias
Given a closed polygon P having n edges, embedded in R^d, we give upper and lower bounds for the minimal number of triangles t needed to form a triangulated PL surface in R^d havin…
math.GT2002
Affine isoperimetric inequalities for piecewise linear surfaces
Joel Hass, Jeffrey C. Lagarias
This paper considers affine analogues of the isoperimetric inequality in the sense of piecewise linear topology. Given a closed polygon P embedded in R^d having n edges, we give up…