Author(s): Andras Bezdek
Series: Monographs and textbooks in pure and applied mathematics 253
Publisher: Marcel Dekker
Year: 2003
Language: English
Pages: 486
City: New York
PREFACE......Page 10
CONTENTS......Page 12
CONTRIBUTORS......Page 16
BIOGRAPHICAL NOTES AND WORK OF W. KUPERBERG......Page 20
TRANSVERSAL LINES TO LINES AND INTERVALS......Page 26
ON A SHORTEST PATH PROBLEM OF G. FEJES TOTH......Page 44
A SHORT SURVEY OF (r,g)-STRUCTURES......Page 52
LATTICE POINTS ON THE BOUNDARY OF THE INTEGER HULL......Page 58
THE ERDOS-SZEKERES PROBLEM FOR PLANAR POINTS IN ARBITRARY POSITION......Page 74
SEPARATION IN TOTALLY-SEWN 4-POLYTOPES......Page 84
ON A CLASS OF EQUIFACETTED POLYTOPES......Page 94
CHESSBOARD RAMSEY NUMBERS......Page 104
MAXIMAL PRIMITIVE FIXING SYSTEMS FOR CONVEX FIGURES......Page 110
THE NEWTON-GREGORY PROBLEM REVISITED......Page 128
ARRANGEMENTS OF 13 POINTS ON A SPHERE......Page 136
ON POINT SETS WITHOUT k COLLINEAR POINTS......Page 210
THE BECKMAN-QUARLES THEOREM FOR RATIONAL d-SPACES, d EVEN AND d > 6......Page 218
EDGE-ANTIPODAL CONVEX POLYTOPES - A PROOF OF TALATA'S CONJECTURE......Page 226
SINGLE-SPLIT TILINGS OF THE SPHERE WITH RIGHT TRIANGLES......Page 232
VERTEX-UNFOLDINGS OF SIMPLICIAL MANIFOLDS......Page 240
VIEW-OBSTRUCTION THROUGH TRAJECTORIES OF CO-DIMENSION THREE......Page 254
FAT 4-POLYTOPES AND FATTER 3-SPHERES......Page 264
ARBITRARILY LARGE NEIGHBORLY FAMILIES OF CONGRUENT SYMMETRIC CONVEX 3-POLYTOPES......Page 292
ON THE NON-SOLIDITY OF SOME PACKINGS AND COVERINGS WITH CIRCLES......Page 304
ON THE mTH PETTY NUMBERS OF NORMED SPACES......Page 316
CUBIC POLYHEDRA......Page 330
NEW" UNIFORM POLYHEDRA......Page 356
ON THE EXISTENCE OF A CONVEX POLYGON WITH A SPECIFIED NUMBER OF INTERIOR POINTS......Page 376
ON-LINE 2-ADIC COVERING OF THE UNIT SQUARE BY BOXES......Page 384
AN EXAMPLE OF A STABLE, EVEN ORDER QUADRANGLE WHICH IS DETERMINED BY ITS ANGLE FUNCTION......Page 392
SETS WITH A UNIQUE EXTENSION TO A SET OF CONSTANT WIDTH......Page 398
THE NUMBER OF SIMPLICES EMBRACING THE ORIGIN......Page 406
HELLY-TYPE THEOREMS ON DEFINITE SUPPORTING LINES FOR fc-DISJOINT FAMILIES OF CONVEX BODIES IN THE PLANE......Page 412
COMBINATORIAL APERIODICITY OF POLYHEDRAL PROTOTILES......Page 422
SEQUENCES OF SMOOTHED POLYGONS......Page 432
ON A PACKING INEQUALITY BY GRAHAM, WITSENHAUSEN AND ZASSENHAUS......Page 456
COVERING A TRIANGLE WITH HOMOTHETIC COPIES......Page 460
OPEN PROBLEMS......Page 472
INDEX......Page 484
