Vol. 65, No. 1, 1976

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
On facets with non-arbitrary shapes

Peter Kleinschmidt

Vol. 65 (1976), No. 1, 97–101
Abstract

It is proved that the shape of a facet of a d-polytope with d + 3 vertices can be arbitrarily preassigned. A minimal example of a 4-polytope with 8 vertices which does not have this property is described.

Mathematical Subject Classification
Primary: 52A25, 52A25
Milestones
Received: 30 December 1975
Revised: 2 February 1976
Published: 1 July 1976
Authors
Peter Kleinschmidt