Concepedia

Dual Polyhedra

Dual Polyhedra is a geometric construct in solid geometry consisting of a pair of polyhedra where each vertex of one corresponds to a face of the other and vice versa, such that their incidence relations are reversed while preserving overall symmetry.

36

Publications

2.8K

Citations

71

Authors

46

Institutions

Publications per year

2017–2026

2

Variants

Dual Polyhedron

Parents

Publications

36

Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

Victor V. Batyrev · ArXiv.org · 1993 · 993 citations · Full text

, , +12

Some polyhedra related to combinatorial problems

Ralph E. Gomory · Linear Algebra and its Applications · 1969 · 392 citations

, , +7

The Gauss-Bonnet theorem for Riemannian polyhedra

Carl B. Allendoerfer, André Weil · Transactions of the American Mathematical Society · 1943 · 184 citations

, , +10

Total dual integrality and integer polyhedra

Frederick Richard Giles, William R. Pulleyblank · Linear Algebra and its Applications · 1979 · 144 citations

, , +8

Note dual polytopes of rational convex polytopes

Takayuki Hibi · COMBINATORICA · 1992 · 140 citations

, , +8

1–5 of 36

Authors

71

  1. AW
    André Weil

    University Hospitals of Cleveland, United States

    2 publications · 244 citations

    2

    h-index

  2. CS
    Christophe Soulé

    Institut des Hautes Études Scientifiques, France

    2 publications · 69 citations

    2

    h-index

  3. CB
    Carl B. Allendoerfer

    University of Washington, United States

    2 publications · 244 citations

    2

    h-index

  4. VV
    Victor V. Batyrev

    University of Tübingen, Germany

    2 publications · 1K citations

    2

    h-index

  5. HG
    Henri Gillet

    University of Illinois Chicago, United States

    2 publications · 69 citations

    2

    h-index

1–5 of 71

Institutions

46

  1. Institut des Hautes Études Scientifiques

    Bures-sur-Yvette, France

    3 h-index

    4 publications

    111 citations

  2. Kyoto University

    Kyoto, Japan

    2 h-index

    2 publications

    28 citations

  3. Cornell University

    Ithaca, United States

    2 h-index

    4 publications

    306 citations

  4. University of Bonn

    Bonn, Germany

    2 h-index

    3 publications

    69 citations

  5. University of Florida

    Gainesville, United States

    1 h-index

    5 publications

    120 citations

  6. Brandeis University

    Waltham, United States

    1 h-index

    1 publications

    15 citations

  7. Lanzhou University

    Lanzhou, China

    1 h-index

    1 publications

    10 citations

  8. Rutgers, The State University of New Jersey

    New Brunswick, United States

    1 h-index

    3 publications

    162 citations

1–8 of 46

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 2 publications · 244 citations

    2

    h-index

  2. Mathematics of Operations Research

    2 publications · 74 citations

    2

    h-index

  3. Israel Journal of Mathematics

    2 publications · 69 citations

    2

    h-index

  4. Linear Algebra and its Applications

    2 publications · 536 citations

    2

    h-index

  5. Research in the Mathematical Sciences

    1 publications · 20 citations

    1

    h-index

1–5