A tri-oddity is an arrangement of copies of a polyform with ternary rotary symmetry or better, using a number of copies that is not a multiple of 3.
Here I show the smallest known tri-oddities that can be formed by copies of two heptiamonds, using at least one of each. If you find a smaller solution, please write.
See also:
AB 13 | AC 13 | AD 13 | AE 4 | AF 10 | AG 25 |
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AH 7 | AI 19 | AJ 10 | AK 7 | AL 13 | AM 22 |
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AN 10 | AP 10 | AQ 10 | AR 10 | AS 7 | AT 7 |
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AU 22 | AV 22 | AX 4 | AY 10 | AZ 10 | BC 13 |
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BD 7 | BE 7 | BF 13 | BG 10 | BH 10 | BI 16 |
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BJ 10 | BK 4 | BL 16 | BM 16 | BN 13 | BP 10 |
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BQ 16 | BR 13 | BS 10 | BT 16 | BU 16 | BV 16 |
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BX 4 | BY 4 | BZ 10 | CD 7 | CE 7 | CF 13 |
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CG 13 | CH 7 | CI 13 | CJ 10 | CK 10 | CL 10 |
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CM 13 | CN 10 | CP 7 | CQ 10 | CR 7 | CS 10 |
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CT 13 | CU 13 | CV 31 | CX 4 | CY 10 | CZ 10 |
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DE 10 | DF 13 | DG 34 | DH 7 | DI 10 | DJ 37 |
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DK 10 | DL 7 | DM 28 | DN 16 | DP 13 | DQ 4 |
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DR 10 | DS 4 | DT 7 | DU 10 | DV ? | DX 4 |
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DY 10 | DZ 10 | EF 7 | EG 13 | EH 7 | EI 13 |
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EJ 16 | EK 10 | EL 16 | EM 22 | EN 16 | EP 10 |
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EQ 13 | ER 13 | ES 7 | ET 10 | EU 10 | EV 10 |
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EX 4 | EY 7 | EZ 13 | FG 10 | FH 13 | FI 31 |
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FJ 37 | FK 10 | FL 10 | FM 40 | FN 13 | FP 13 |
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FQ 10 | FR 10 | FS 7 | FT 10 | FU 13 | FV ? |
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FX 4 | FY 7 | FZ 10 | GH 16 | GI 10 | GJ 13 |
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GK 7 | GL 10 | GM 31 | GN 10 | GP 19 | GQ 19 |
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GR 10 | GS 13 | GT 16 | GU 34 | GV 34 | GX 4 |
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GY 10 | GZ 13 | HI 10 | HJ 10 | HK 10 | HL 10 |
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HM 13 | HN 13 | HP 10 | HQ 13 | HR 10 | HS 4 |
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HT 7 | HU 16 | HV 16 | HX 4 | HY 10 | HZ 16 |
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IJ 16 | IK 10 | IL 10 | IM 10 | IN 13 | IP 16 |
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IQ 13 | IR 13 | IS 7 | IT 19 | IU ? | IV 25 |
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IX 4 | IY 10 | IZ 19 | JK 10 | JL 13 | JM 16 |
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JN 10 | JP 7 | JQ 13 | JR 10 | JS 4 | JT 10 |
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JU 19 | JV 40 | JX 4 | JY 7 | JZ 16 | KL 7 |
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KM 10 | KN 10 | KP 7 | KQ 7 | KR 7 | KS 7 |
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KT 7 | KU 10 | KV 7 | KX 4 | KY 4 | KZ 10 |
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LM 16 | LN 10 | LP 22 | LQ 13 | LR 10 | LS 10 |
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LT 13 | LU 13 | LV ? | LX 4 | LY 10 | LZ 10 |
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MN 10 | MP 22 | MQ ? | MR 19 | MS 13 | MT 25 |
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MU ? | MV ? | MX 4 | MY 10 | MZ 19 | NP 16 |
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NQ 13 | NR 19 | NS 13 | NT 13 | NU ? | NV 28 |
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NX 4 | NY 10 | NZ 10 | PQ 10 | PR 13 | PS 10 |
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PT 13 | PU 7 | PV 22 | PX 4 | PY 7 | PZ 7 |
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QR 16 | QS 7 | QT 13 | QU 13 | QV ? | QX 4 |
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QY 10 | QZ 7 | RS 10 | RT 13 | RU 16 | RV 16 |
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RX 4 | RY 7 | RZ 19 | ST 7 | SU 7 | SV 10 |
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SX 4 | SY 7 | SZ 4 | TU 22 | TV 19 | TX 4 |
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TY 7 | TZ 13 | UV ? | UX 4 | UY 10 | UZ 22 |
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VX 4 | VY 10 | VZ 16 | XY 4 | XZ 4 | YZ 10 |
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Last revised 2025-02-22.