## [polyominous] Puzzles

### Trominos

The IL tromino labeling scheme is used.

W=14x3&L=x4x9x6x6x9x5&SSE=1R8RD2DRR5U5R1U6U6LU2URR2RU8U2U2RR&P-MINOSIZE=3&G=polyominous&A=PinkHoodie&D=2024-10-06&F=2&O=Trominos&T=Trominous

### Tetrominos

The ILOST tetromino labeling scheme is used, as conventional (as in the naming of [LITS], [LOTS]).

This puzzle was made by @PinkHoodie:

W=16x6&L=I0S5T2S2I27S5I6L1O6S5S27S2T2S5&SSE=7UUUUL3RUULU18URRRRD3LLDRDLD1U4URU1LL4DLLL13U3ULUUULDLLDRRR1UUUU1RRDLDD7URULU6RDD2RRULU4RURULLL7RRURULLURRUR3RURU11RD9R&P-MINOSIZE=4&G=polyominous&A=PinkHoodie&D=2024-11-18&F=3&T=16x6_1_(Tetrominous)



### Pentominos

The FILNPTUVWXYZ pentomino labelling scheme is used, as below:

../images/paper-puzzle/pentomino-alphabet.png

W=10x10&L=L6U1T9T1P23P8I1Z1Z1T8N23L1V9I1&P-MINOSIZE=5&G=polyominous&A=Anurag&D=2024-10-04&F=2
W=16x6&L=x0L1L1x3P1P6x2x1x5x1P8x1F2L2x1F2X21x2N1F2x2L1x8x1x5x1Y2Y6x1L3L1x1&SSE=8RULUUU17ULU3UU4RU6RRDRDLD5ULUU9RRULLLU8URU6RURURRD7RDLLDL5URDRRRUUULUR&P-MINOSIZE=5&G=polyominous&A=PinkHoodie&D=2025-01-26&F=3&T=16x6_1_(Pentonimous)

## Hex

### Trihexes

There are three trihexes, following the AIL labelling.

W=3x3x4&L=x2A3L2L3x2x5&SSE=7E8RDWDRE1ERE19ULU1ERER2LU3R10RE&P-MINOSIZE=3&G=polyominous&V=hex&A=PinkHoodie&D=2024-10-05&F=1&O=Hex_3&T=All



### Tetrahexes

The CILOPSY tetrahex labelling, as in [SLICY] and Joseph Howard's [CYCLOPS puzzle|https://www.gmpuzzles.com/blog/2021/06/tetrominous-hex-by-joseph-howard/] is used.

W=3x3x4&L=I0C1P2C17C2P1&SSE=3EUEUEUEU4EUERDRER8RERDRD8RE39WLULWDRDRDR&P-MINOSIZE=4&G=polyominous&V=hex&A=PinkHoodie&D=2024-10-05&F=1&O=Tetrahex&T=CPI

### Pentahexes

The following labelling scheme for pentahexes is used:

../images/paper-puzzle/pentahex-alphabet.png

This differs from [Abaroth's prior scheme|https://abarothsworld.com/Puzzles/Polyhex/Polyhexes.htm], in that 7 pentahexes were relabelled, the remaining 15 pentahexes coincide.
The reason for change was so their assigned letters are easier to recognise and to keep in working memory while solving a puzzle (if not memorise for the long-term), thus hopefully smoothening the experience and reducing mistakes.
The new assignment was tested by about a dozen puzzlers, using a unlabelled test picture (blind perception test) and/or via active feedback on the labelling scheme as such. It was subsequently refined, holistically, leading to adjustments to individual labels as well as their presentation (rotation, mirroring, superimposed letter shapes).

TBA



## Variants

### Borders (´´edge-given´´)

W=10x10&L=W3N1X16F9U1T9L21P9I1V9Y16Z1&SIE=48UU22UU&SSE=4RURURDDLDLL2RUURDD23RURULU1ULU3URULULDLDRD3RRDDD1R19RUUUR2UUU4RRUUU14DLDDLU1UUUUURDRUU8RDDRR1RRDDR2UUUU3RDR3LLLLU&P-MINOSIZE=5&G=polyominous&V=edge-given&A=PinkHoodie&D=2024-11-10&F=3&O=Pentopairs&T=Striked_Lucky
To make a "polyminous (borders)" puzzle, simply apply global variant ´´edge-given´´

V=edge-given

W=3x3x4&SIE=3E1R9U2U15E3U12U4U8E&SSE=8R1E4REUERDW3ERDWDR7UERE14RERDW5E&P-MINOSIZE=4&G=polyominous&V=hex,edge-given&A=PinkHoodie&D=2024-10-05&F=2&O=Borders_+_Hex_(Hex,_Edge_Given)&T=Tetrahex_Border
W=6x10&SIE=11U5R9LUUUUU4U5RD2UU18D3R4UR2R&P-MINOSIZE=5&G=polyominous&V=edge-given&A=Anurag&D=2024-10-04&F=2&N=1&T=Polyominous


## Acknowledgements and Changes
**2024-10-03** Many thanks to @AnuragSahay for spontaneously sending the [panels|../panels] for [polyominous], and for @dohz for sending some info on labelling polyforms.
**2024-10-04** Thanks to @MartinEnder for several suggestions and for actively gathering feedback on the pentahex labelling. Thanks to everyone else who tested and/or provided feedback about the labelling: @Hazelstorm, @CJK, @Anurag, @Seren, @Nabokos, @Beekie, @Botaku, @Yakaki, @emmie, @SkyeIsLime, and others.
**2024-10-04** Thanks to @AnuragSahay for sending a rollout [Polyominous] puzzle!
**2024-10-04** Thanks to @PinkHoodie for sending a rollout ´´hex´´ [Polyominous] puzzle, and noticing that the ´´edge-given´´ variant should be part of the recommendations (added).
**2024-10-05** A polyominous borders (as ´´edge-given´´) and a third rollout puzzle were sent by @PinkHoodie, both on the ´´hex´´ grid. Thank you!
**2024-10-06** A polyominous borders (as ´´edge-given´´) was sent by @AnuragSahay for rollout - thank you!
**2024-10-07** The genre was promoted to global variant ´´polyominous´´.
**2024-11-05** A bug in the global variant ´´polyominous´´, detected by @PinkHoodie, was patched (letters are now unrestricted, and it is up to the setters to pick the correct ones)
**2024-11-16** :::puzzletters @PinkHoodie shared 1 [polyominous] puzzle using variant ´´edge-given´´!
**2025-01-04** :::puzzletters A classic tetromino [Polyominous] was finally made, composed by @PinkHoodie - thank you!
**2025-02-02** :::puzzletters @PinkHoodie dispatched 1 [polyominous] (classic) puzzle - kiitos!
**2025-02-11** :::Encoding [polyominous] parameter encoding and display was upgraded, so that the parameter now appears in puzzle pictures. Please consider updating your puzzles and pictures.