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Table of Contents
Introduction; Tudor Zamfirescu: From Convex to Magic; 1 Born as a Counter-Example; 2 Back to Roumania at the Worst Moment; 3 Student in Mathematics; 4 Against the Current Trend; 5 Joint Paper with A.S. Besicovitch; 6 Tudor in his Own Words; 7 Hangan's Role; 8 Invited to Bochum; 9 Rapidly Adapted in Germany; 10 Two Kinds of Problems; 11 From Continuous Mathematics to Discrete Geometry; 12 Most Monotone Functions are Singular; 13 The Curvature of most Surfaces Vanishes Almost Everywhere; 14 To See, to Debate, to Understand; 15 Porosity and Convexity
16 Does There Exist a Convex Surface on which No Geodesic is Closed and All Geodesics have Length Less than One?17 Some Special Points of Geodesics; 18 Liking Unifying Aspects; 19 Do There Exist Graphs Such that any Three Vertices are Missed by Some Longest Path (or Cycle)?; 20 A Balance Between Questions and Answers; 21 Spectacular Joint Papers; 22 Most Numbers Obey No Probability Laws; 23 Great Asymmetry: Global Versus Individual; 24 Misleading Majority; Dreams Deceived; 25 Tudor's Reaction: Dreams Becoming True; 26 However: Are We Not Manipulated by Words?
27 The Mathematics of Negligibility is Beyond Words28 Many Pupils; 29 The Individual May Account for the Global; 30 Rejecting a Traditional Claim About Age; 31 Increasing Metabolism in Research; 32 Ant Rather than Bee; 33 Problem Solver Rather than Theory Builder; 34 Gowers' Two Cultures of Mathematics; 35 From Time to Time a Bird or a Frog; 36 Tudor's Mathematics: Artisanal; 37 A Family to a Large Extent Devoted to Mathematics; 38 Tudor's Mother, with North-Moldavian Roots; 39 Tudor's Wife: Helga Hilbert-Zamfirescu; 40 Tudor's Children: Well Educated, Eager to Learn; 41 Tudor in Pakistan
42 Tudor's Confession43 ``I Am Not a Serious Mathematician''; 44 Tudor's Mathematical Universe and Empirical Reality: Cats and Dogs; 45 Developments by Others; 46 ``Most Mirrors Are Magic''; Transformations of Digraphs Viewed as Intersection Digraphs; 1 Introduction; 2 Results; References; Acute Triangulations of Rectangles, with Angles Bounded Below; 1 Introduction; 2 Acute Triangulations of Squares; 3 Acute Triangulations of Rectangles; References; Multi-compositions in Exponential Counting of Hypohamiltonian Snarks; 1 Introduction; 1.1 A Walk into History; 1.2 On Restricted Parts
1.3 On Generating Functions1.4 Along with Multi-compositions; 1.5 On Graphic Compositions; 1.6 On Nonzero Counts; 2 Numerical Results on Compositions; 3 An Application to Graphical Compositions; 3.1 Concluding Evaluation of Numerical Results; 4 Concluding Remarks; References; Hamiltonicity in k-tree-Halin Graphs; 1 Introduction; 2 Preliminaries; 3 Main Results; References; Reflections of Planar Convex Bodies; 1 Introduction; 2 Some Preparations; 3 Proof of the Theorem; Reference; Steinhaus Conditions for Convex Polyhedra; 1 Introduction; 2 Preliminaries; 3 Main Result
16 Does There Exist a Convex Surface on which No Geodesic is Closed and All Geodesics have Length Less than One?17 Some Special Points of Geodesics; 18 Liking Unifying Aspects; 19 Do There Exist Graphs Such that any Three Vertices are Missed by Some Longest Path (or Cycle)?; 20 A Balance Between Questions and Answers; 21 Spectacular Joint Papers; 22 Most Numbers Obey No Probability Laws; 23 Great Asymmetry: Global Versus Individual; 24 Misleading Majority; Dreams Deceived; 25 Tudor's Reaction: Dreams Becoming True; 26 However: Are We Not Manipulated by Words?
27 The Mathematics of Negligibility is Beyond Words28 Many Pupils; 29 The Individual May Account for the Global; 30 Rejecting a Traditional Claim About Age; 31 Increasing Metabolism in Research; 32 Ant Rather than Bee; 33 Problem Solver Rather than Theory Builder; 34 Gowers' Two Cultures of Mathematics; 35 From Time to Time a Bird or a Frog; 36 Tudor's Mathematics: Artisanal; 37 A Family to a Large Extent Devoted to Mathematics; 38 Tudor's Mother, with North-Moldavian Roots; 39 Tudor's Wife: Helga Hilbert-Zamfirescu; 40 Tudor's Children: Well Educated, Eager to Learn; 41 Tudor in Pakistan
42 Tudor's Confession43 ``I Am Not a Serious Mathematician''; 44 Tudor's Mathematical Universe and Empirical Reality: Cats and Dogs; 45 Developments by Others; 46 ``Most Mirrors Are Magic''; Transformations of Digraphs Viewed as Intersection Digraphs; 1 Introduction; 2 Results; References; Acute Triangulations of Rectangles, with Angles Bounded Below; 1 Introduction; 2 Acute Triangulations of Squares; 3 Acute Triangulations of Rectangles; References; Multi-compositions in Exponential Counting of Hypohamiltonian Snarks; 1 Introduction; 1.1 A Walk into History; 1.2 On Restricted Parts
1.3 On Generating Functions1.4 Along with Multi-compositions; 1.5 On Graphic Compositions; 1.6 On Nonzero Counts; 2 Numerical Results on Compositions; 3 An Application to Graphical Compositions; 3.1 Concluding Evaluation of Numerical Results; 4 Concluding Remarks; References; Hamiltonicity in k-tree-Halin Graphs; 1 Introduction; 2 Preliminaries; 3 Main Results; References; Reflections of Planar Convex Bodies; 1 Introduction; 2 Some Preparations; 3 Proof of the Theorem; Reference; Steinhaus Conditions for Convex Polyhedra; 1 Introduction; 2 Preliminaries; 3 Main Result