Pentahex Pair Tri-Oddities with Horizontal Symmetry

A polyhex tri-oddity is a figure with ternary symmetry formed by some number of copies of a polyhex that is not a multiple of three. Torsten Sillke first studied them in 1996.

Here I show minimal known tri-oddities with horizontal symmetry for pairs of pentahexes. Please write if you find a smaller solution or solve an unsolved case.

See also

  • Pentahex Pair Tri-Oddities
  • Pentahex Pair Tri-Oddities with Vertical Symmetry
  • Polyhex Tri-Oddities
  • Pentahex Pair Oddities
  • 5AC 295AD 55AE 25AF 115AH 5
    5AI 115AJ 115AK 115AL 115AN 8
    5AP 85AQ 145AR 115AS 205AT 17
    5AU 175AV 205AW 175AX 145AY 11
    5AZ 115CD 55CE 115CF 175CH 11
    5CI 475CJ 145CK 115CL 115CN 8
    Click here
    5CP 85CQ 175CR 145CS 115CT —
    5CU 85CV 265CW 205CX 205CY 8
    5CZ 175DE 55DF 85DH 85DI 5
    5DJ 85DK 85DL 55DN 55DP 5
    5DQ 85DR 55DS 85DT 115DU 11
    5DV 115DW 85DX 115DY 25DZ 8
    5EF 85EH 115EI 55EJ 115EK 14
    5EL 85EN 85EP 55EQ 205ER 11
    5ES 175ET 385EU 145EV 235EW 14
    5EX 115EY 115EZ 145FH 145FI 14
    5FJ 115FK 115FL 115FN 115FP 5
    5FQ 85FR 115FS 175FT 175FU 14
    5FV 175FW 115FX 85FY 85FZ 14
    5HI 55HJ 115HK 115HL 115HN 8
    5HP 55HQ 55HR 115HS 115HT 11
    5HU 115HV 115HW 175HX 115HY 11
    5HZ 115IJ 145IK 145IL 115IN 5
    5IP 115IQ 205IR 115IS 205IT 41
    5IU 235IV 235IW 205IX 205IY 5
    5IZ 115JK 55JL 115JN 85JP 8
    5JQ 145JR 85JS 175JT 205JU 14
    5JV 145JW 115JX 145JY 55JZ 11
    5KL 115KN 85KP 85KQ 85KR 8
    5KS 115KT 145KU 85KV 145KW 11
    5KX 115KY 85KZ 115LN 55LP 5
    5LQ 145LR 115LS 115LT 145LU 8
    5LV 145LW 145LX 145LY 115LZ 11
    5NP 85NQ 85NR 115NS 145NT 11
    5NU 115NV 115NW 145NX 145NY 5
    5NZ 115PQ 85PR 85PS 85PT 11
    5PU 85PV 115PW 85PX 85PY 8
    5PZ 85QR 115QS 175QT 205QU 11
    5QV 145QW 55QX 145QY 115QZ 11
    5RS 145RT 145RU 115RV 115RW 14
    5RX 115RY 85RZ 115ST 205SU 17
    5SV 205SW 235SX 115SY 115SZ 14
    5TU 145TV 235TW 175TX 205TY 11
    5TZ 145UV 175UW 115UX 115UY 11
    5UZ 145VW 235VX 235VY 85VZ 17
    5WX 115WY 115WZ 145XY 85XZ 11
    5YZ 11

    Last revised 2025-01-19.


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    Col. George Sicherman [ HOME | MAIL ]