Catalogue of Cyclic Polyenns

Introduction

A polyenns is a figure made of regular enneagons (9-gons) joined edge to edge. A polyenn is cyclic if its cells are joined in a closed loop.

Here I show all cyclic polyenns with up to 10 cells. I do not distinguish mirror images.

A cyclic polyenn must have an even number of cells. This is because successive cells point alternately up and down.

See also:

  • Catalogue of Polyenns
  • Catalogue of Cyclic Polypents
  • Catalogue of Cyclic Polyhepts

    • Enumeration

    CellsPolyenns
    63
    82
    1014

    6 Cells

    8 Cells

    10 Cells

    Last revised 2024-03-28.

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    Col. George Sicherman [ HOME | MAIL ]