I'd like to move forward with the 3d capacitive sensing controller for the multiplexed LED cube. Based on the attached sketch, I expect use three sides of cube to create a free-standing 3d capacitive sensor. I'll use either an Arduino Uno or Arduino Mega (depending on the exact number of pins needed) as input control for the capacitive sensors and the output for the LED cube. A 4x4x4 LED cube would provide some reasonably nuanced positional information and at the same time some interesting aesthetics. With 64 LEDs connection, I'll look into multiplexing and shift register chips for individual addressing of the LEDs. I think the control of the LEDs will be limited to binary, but I expect them to be fairly responsive to the position of a hand within the sensing field.
Depending on the complexities discovered with the LED cube, I might also look into addressable strings of LEDs
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