For anyone else who might be interested in the future to build a LED cube based on this design, I've put together a component list with prices based on what I have bought for the project. I tried to buy the components as cheap as I could, most of them off eBay, but for many of them I have bought more than actually necessary, because they sell in bulk or because I wanted some spare parts. Here's what I got:
NDP6020P: 14 pcs 33.3 EUR (43.8 USD)
3mm diffused blue LEDs: 1000 pcs 19.4 EUR (25.5 USD)
TPIC6B595N shift registers: 20 pcs 9.3 EUR (12.3 USD)
1K variable resistors: 100 pcs 7.4 EUR (9.8 USD)
5V 3A power supply: 1 pcs 7.1 EUR (9.4 USD)
Craft wire 0.8mm 6m: 3 pcs 7 EUR (9.2 USD)
Jumper cables 40 PCS: 2 pcs 6 EUR (7.9 USD)
Capacitors (0.1 uF) + resistors (82R, 220R): 3 pcs 4.6 EUR (6.1 USD)
PCB 18x12 cm: 2 pcs 3.9 EUR (5.2 USD)
Female pin headers: 200 pcs 3.8 EUR (4.9 USD)
TO-220 heatsink: 10 pcs 3.4 EUR (4.5 USD)
IC sockets DIP-20 for TPIC6B595N: 10 pcs 2 EUR (2.7 USD)
Crocodile clips: 2 pcs 0.8 EUR (1 USD)
Total: 108 EUR (142.3 USD)
Sorry, I just can't get the data into a well-formatted table.
This does not include, of course, the price of the Arduino driving the cube or other miscellaneous stuff like soldering materials or the prices of some tools that you use for other projects too.