Hexiamond Pair Dual Orthogonal Vertex-Centered Oddities

Introduction

A hexiamond oddity is a figure with even symmetry formed by an odd number of copies of a hexiamond. Symmetrical figures can also be formed with copies of two different hexiamonds. Here are the smallest known oddities with vertex-centered dual orthogonal symmetry for the 66 pairs of hexiamonds.

See also

  • Hexiamond Pair Dual Orthogonal Edge-Centered Oddities
  • Hexiamond Pair Full Oddities
  • Thanks to Carl Schwenke and Johann Schwenke for suggesting this project and contributing improvements.

    Basic Solutions

    6AE 136AF 156AH 116AI 56AL 56AO 5
    6AP 116AS 136AU 96AV 76AX 136EF 11
    6EH 96EI 96EL 56EO 56EP 96ES 7
    6EU 96EV 56EX ?6FH 96FI 56FL 5
    6FO 56FP •6FS 76FU 76FV 56FX 9
    6HI 96HL 76HO 56HP 56HS 76HU 9
    6HV 76HX 56IL 56IO 56IP 56IS 7
    6IU 76IV 56IX 36LO 56LP 76LS 7
    6LU 56LV 56LX 56OP 56OS 56OU 5
    6OV 36OX 36PS 76PU 76PV 36PX 7
    6SU 96SV 56SX 56UV 36UX 76VX 5

    Holeless Variants

    Solutions shown above that are holeless are not shown here.

    7 Tiles

    9 Tiles

    11 Tiles

    13 Tiles

    15 Tiles

    21 Tiles

    57 Tiles

    Last revised 2025-06-01.


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    Polyiamond and Polyming Oddities < Polyform Oddities < Polyform Curiosities
    Col. George Sicherman [ HOME | MAIL ]