A lamp lighter travelling on a $\mathbb{Z}_7 \times \mathbb{Z}_7$ grid/ donut, turning on/off lamps.
The grid with the lamps can be viewed as an element of $\{0,1\}^{\mathbb{Z}_7 \times \mathbb{Z}_7}\times(\mathbb{Z}_7 \times \mathbb{Z}_7)$.
In group theory, the lamplighter group is a special case of a wreath product.
Controls:
Use W/A/S/D to move (Up/Left/Down/Right)
Press T to toggle lamp on/off
Try to turn off all the lamps and move to the blue box.
Total moves: 0 | Lamps on: 17
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