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The dihedral twin: at each site a mirrored rotational rosette (kaleidoscope) whose every copy is an independent member of a Collection - each rotation slot gets the tile AND its reflection.

Wire a Random Per-Point field into Index for a fresh draw per copy. Repeat 1/2/3/5 gives the D2/D3/D4/D6 groups (pmm...cmm / p3m / p4m / p6m)

Category: Transform | Add menu: Transform > RotateMirrorVariant

• Collection (any): the set of members to pick from.
• Points (point): the sites; a mirrored rosette is stamped on each.
• Base Point (point): the spot each member reflects, turns about, and lands on; defaults to its centroid.
• Angle (any): degrees per rotation slot; copy k sits at k x Angle (positive turns clockwise).
• Repeat (number): rotation slots per rosette; 1/2/3/5 gives D2/D3/D4/D6.
• Add OG (on/off): also include the un-rotated slot at 0.
• Axis A (point): first point defining the reflection axis; keep it at the base.
• Axis B (point): second point defining the reflection axis.
• Index (any): which member each copy draws (0-based, wraps); a number, a per-copy field, or a list (one index per copy).

• Geometry (any): the mirrored-rosette copies as a list, each its own group.

Index (typed any) picks which member of the Collection is used at each copy of the kaleidoscopic rosette:

• A number: every copy uses that one member (0-based, wraps).
• A Random "Per-Point" field: each copy draws its own member independently.

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• PlaceVariant | RotateVariant | MirrorVariant: the simpler variants; this one combines rotation and reflection into a dihedral rosette.
• Collect: build the Collection | Random - a different member per copy via Index | Lists & collections