References

PROJECTION PROBLEM FOR REGULAR POLYGONS


[1] K. Ball, An elementary introduction to modern convex geometry, Flavors of Geometry, S. Levy, ed., Cambridge University Press, New York, 1997, pp. 1-58.

[2] N. S. Brannen, Volumes of projection bodies, Mathematika 43 (1996), 255-264.

[3] R. J. Gardner, Geometric Tomogrophy, Cambridge University Press, Cambridge, 1995.

[4] Binwu He, Gangsong Leng and Kanghai Li, Projection problems for symmetric polytopes, Adv. Math. 207 (2006), 73-90.

[5] E. Lutwak, D. Yang and G. Zhang, A new affine invariant for polytopes and Schneider’s projection problem, Trans. Amer. Math. Soc. 353 (2001), 1701-1779.

[6] R. Schneider, Random hyperplanes meeting a convex body, Z. Wahrscheinlichkeitsth. Verw. Geb. 61 (1982), 379-387.

[7] R. Schneider, Convex Bodies: The Brunn-Minkowski Theory, Cambridge University Press, Cambridge, 1993.

[8] R. Schneider and W. Weil, Zonoids and related topics, Convexity and its Applications, P. M. Gruber and J. M. Wills, eds., Birkhäuser, Basel, 1983, pp. 296-317.