Pentahex Pair Oddities with Dual Orthogonal Symmetry

Introduction

A polyhex oddity is a symmetrical figure formed by an odd number of copies of a polyhex. Symmetrical figures can also be formed with copies of two different polyhexes. Here are the smallest known full-symmetry oddities for the 231 pairs of pentahexes.

See also

  • Pentahex Pair Oddities with Full Symmetry
  • Pentomino Pair Oddities
  • Hexiamond Pair Oddities
  • 5AC 95AD 55AE 55AF 75AH 5
    5AI 55AJ 35AK 75AL 55AN 3
    5AP 35AQ 75AR 75AS 55AT 9
    5AU 75AV 55AW 75AX 35AY 5
    5AZ 55CD 35CE 55CF 55CH 3
    5CI 35CJ 55CK 75CL 35CN 5
    5CP 55CQ 75CR 55CS 55CT 11
    5CU 55CV 55CW 75CX 35CY 5
    5CZ 55DE 55DF 35DH 35DI 3
    5DJ 55DK 75DL 55DN 55DP 5
    5DQ 55DR 55DS 35DT 55DU 5
    5DV 35DW 75DX 35DY 35DZ 5
    5EF 75EH 55EI 35EJ 35EK 5
    5EL 75EN 55EP 35EQ 55ER 3
    5ES 55ET 75EU 75EV 55EW 5
    5EX 35EY 95EZ 35FH 75FI 3
    5FJ 75FK 55FL 75FN 55FP 5
    5FQ 55FR 75FS 55FT 95FU 5
    5FV 95FW 75FX 35FY 75FZ 7
    5HI 55HJ 75HK 75HL 75HN 5
    5HP 35HQ 35HR 75HS 35HT 5
    5HU 55HV 55HW 75HX 35HY 5
    5HZ 75IJ 35IK 55IL 55IN 3
    5IP 35IQ 35IR 55IS 55IT 3
    5IU 35IV 35IW 35IX 35IY 5
    5IZ 55JK 55JL 55JN 55JP 5
    5JQ 55JR 55JS 35JT 35JU 5
    5JV 55JW 75JX 55JY 75JZ 3
    5KL 75KN 55KP 55KQ 55KR 5
    5KS 35KT 55KU 55KV 55KW 5
    5KX 55KY 55KZ 55LN 55LP 5
    5LQ 75LR 75LS 35LT 55LU 7
    5LV 75LW 95LX 55LY 55LZ 7
    5NP 55NQ 55NR 75NS 35NT 3
    5NU 35NV 35NW 75NX 55NY 5
    5NZ 75PQ 35PR 55PS 35PT 5
    5PU 35PV 75PW 55PX 35PY 5
    5PZ 75QR 55QS 55QT 55QU 3
    5QV 75QW 55QX 35QY 55QZ 7
    5RS 35RT 55RU 55RV 55RW 5
    5RX 35RY 55RZ 75ST 55SU 3
    5SV 35SW 35SX 55SY 55SZ 3
    5TU 55TV 95TW 75TX 35TY 5
    5TZ 55UV 55UW 35UX 35UY 7
    5UZ 75VW 55VX 35VY 55VZ 7
    5WX 35WY 75WZ 55XY 35XZ 5
    5YZ 7

    Holeless Variants

    5AC —5AF 135AN 75AS 75AT 41
    5AU 195AV 75AW 135AY 75CE 9
    5CF 155CI 55CN 75CQ —5CR 7
    5CS 75CT —5CV 95CW 95CY 7
    5DT 75EF 135EJ 95EQ 95ER 9
    5ET 135EU 115EV 95EW 115EZ 7
    5FI 55FJ 95FK 75FL 95FN 7
    5FP 75FT 335FV 115HU 115HV 9
    5HZ 95JL 95JN 75JP 75JQ 9
    5JR 75JS 55JT 295JU 135JV 7
    5JW 175JZ 135KL 95KT 95KU 7
    5KY 75LW 135LZ 95NV 75PR 7
    5QU 155QV 95QW 75QY 75RS 5
    5RT 95RU 115RX 55SV 75SW 9
    5TU 135TW 275TZ 75UV 95UY 9
    5UZ 115VW 115WY 95WZ 75XY 5

    Last revised 2025-06-04.


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    Col. George Sicherman [ HOME | MAIL ]