Yes there quite a few parts in this one, here a list of all things I used:
-125 LEDs
-Copper wire to give the layers more thoughness
-5 NPN 800mA (2n2222) transistors
-5 x 150 ohm resistor for the transistors
-2 experiment boards to solder the components on
-14 male, 5pin connectors
-13 female, 5 pin connectors
-1 male, 3 pin connector
-2 meter 10wires ribbon cable
-6 meter white wire
-2 meter black wire
-2 meter red wire
-1 meter blue wire
-2 meter green wire
-2 meter yellow wire
-6 shift registers and 6 ic-sockets
-6 100nF ceramic capacitors
-25x 220 ohm resistors
-1x 10K resistor
This is all I used. I use 5 shift registers to control 5 LEDs per shift register, the 6th shift registers is for controlling the layers via the NPN transistors.