The inscribed simplex in a centrally symmetric convex body in En.

George A. Tsintsifas

The search session has expired. Please query the service again.

Displaying similar documents to “The inscribed simplex in a centrally symmetric convex body in En.”

Axially Symmetric Polygons Inscribed in and Circumscribed about Convex sets.

B. de Abel de Valcourt (1967)

Elemente der Mathematik

Similarity:

On support functions of Compact Convex Sets.

Peter McCullen (1976)

Elemente der Mathematik

Similarity:

Minimum-area axially symmetric convex bodies containing a triangle and its measure of axial symmetry.

Lassak, Marek, Nowicka, Monika (2009)

Beiträge zur Algebra und Geometrie

Similarity:

A measure of axial symmetry of centrally symmetric convex bodies

Marek Lassak, Monika Nowicka (2010)

Colloquium Mathematicae

Similarity:

Denote by Kₘ the mirror image of a planar convex body K in a straight line m. It is easy to show that K*ₘ = conv(K ∪ Kₘ) is the smallest by inclusion convex body whose axis of symmetry is m and which contains K. The ratio axs(K) of the area of K to the minimum area of K*ₘ over all straight lines m is a measure of axial symmetry of K. We prove that axs(K) > 1/2√2 for every centrally symmetric convex body and that this estimate cannot be improved in general. We also give a formula for...