A Baiocchi Figure is an arrangement of copies of a polyform to achieve the highest symmetry class for its type of polyform. For polyiamonds, this means 12-fold symmetry, 6-rotary and mirror.
Here I show the smallest known Baiocchi Figures without holes that can be formed by copies of two heptiamonds, using at least one of each. If you find a smaller solution or solve an unsolved case, please write.
For Baiocchi Figures allowing holes, see Baiocchi Figures for Heptiamond Pairs.
In the table, shaded cells indicate that the tiling is minimal even when holes are allowed.
Carl Schwenke and Johann Schwenke contributed improved solutions.
| AB 30 | AC 12 | AD 12 | AE 18 | AF 24 | AG 36 |
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| AH 6 | AI 18 | AJ 18 | AK 18 | AL 18 | AM 36 |
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| AN 36 | AP 24 | AQ 42 | AR 18 | AS 12 | AT 24 |
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| AU 12 | AV 12 | AX 42 | AY 12 | AZ 24 | BC 24 |
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| BD 12 | BE 60 | BF 24 | BG 12 | BH 18 | BI 42 |
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| BJ 30 | BK 30 | BL 24 | BM — | BN 24 | BP 24 |
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| BQ 36 | BR 36 | BS 12 | BT 24 | BU 24 | BV 48 |
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| BX 30 | BY 12 | BZ 12 | CD 12 | CE 24 | CF 12 |
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| CG 24 | CH 12 | CI 24 | CJ 12 | CK 24 | CL 24 |
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| CM 24 | CN 18 | CP 12 | CQ 6 | CR 24 | CS 6 |
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| CT 12 | CU 12 | CV 36 | CX 12 | CY 12 | CZ 12 |
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| DE 12 | DF 12 | DG 12 | DH 12 | DI 18 | DJ 6 |
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| DK 12 | DL 12 | DM 18 | DN 12 | DP 6 | DQ 24 |
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| DR 12 | DS 6 | DT 12 | DU 12 | DV 12 | DX 12 |
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| DY 12 | DZ 12 | EF 24 | EG 24 | EH 12 | EI 30 |
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| EJ 30 | EK 72 | EL 36 | EM 42 | EN 24 | EP 12 |
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| EQ 24 | ER 24 | ES 12 | ET 18 | EU 18 | EV 12 |
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| EX 18 | EY 30 | EZ 18 | FG 12 | FH 24 | FI 30 |
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| FJ 30 | FK 18 | FL 36 | FM 18 | FN 18 | FP 18 |
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| FQ 18 | FR 12 | FS 12 | FT 18 | FU 12 | FV 24 |
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| FX 12 | FY 12 | FZ 12 | GH 18 | GI 12 | GJ 12 |
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| GK 24 | GL 12 | GM 36 | GN 18 | GP 24 | GQ 18 |
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| GR 12 | GS 6 | GT 36 | GU 24 | GV — | GX 36 |
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| GY 24 | GZ 18 | HI 18 | HJ 12 | HK 24 | HL 12 |
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| HM 24 | HN 12 | HP 6 | HQ 24 | HR 12 | HS 6 |
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| HT 18 | HU 12 | HV 12 | HX 6 | HY 18 | HZ 6 |
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| IJ 42 | IK 30 | IL 24 | IM 18 | IN 24 | IP 18 |
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| IQ 42 | IR 24 | IS 18 | IT 18 | IU 18 | IV 42 |
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| IX 18 | IY 24 | IZ 18 | JK 12 | JL 24 | JM 12 |
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| JN 12 | JP 18 | JQ 6 | JR 24 | JS 12 | JT 18 |
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| JU 18 | JV — | JX 18 | JY 24 | JZ 12 | KL 72 |
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| KM 36 | KN 24 | KP 18 | KQ 60 | KR 24 | KS 12 |
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| KT 36 | KU 24 | KV 54 | KX 24 | KY 24 | KZ 24 |
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| LM — | LN 24 | LP 12 | LQ 24 | LR 24 | LS 12 |
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| LT 24 | LU 24 | LV 48 | LX 36 | LY 30 | LZ 30 |
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| MN 36 | MP 30 | MQ 24 | MR 36 | MS 24 | MT 36 |
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| MU 24 | MV — | MX — | MY 18 | MZ 24 | NP 24 |
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| NQ 18 | NR 18 | NS 6 | NT 18 | NU 24 | NV — |
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| NX 24 | NY 18 | NZ 24 | PQ 18 | PR 18 | PS 6 |
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| PT 24 | PU 6 | PV 12 | PX 6 | PY 12 | PZ 6 |
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| QR 24 | QS 6 | QT 24 | QU 42 | QV 30 | QX 36 |
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| QY 12 | QZ 24 | RS 12 | RT 18 | RU 18 | RV 36 |
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| RX 18 | RY 24 | RZ 18 | ST 12 | SU 12 | SV 12 |
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| SX 6 | SY 24 | SZ 6 | TU 12 | TV 12 | TX 24 |
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| TY 24 | TZ 6 | UV 12 | UX 12 | UY 24 | UZ 12 |
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| VX 12 | VY 36 | VZ 12 | XY 24 | XZ 6 | YZ 24 |
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Last revised 2025-03-12.