Quantity   Component name
512 × 5mm DIFFUSED LED http://www.ebay.com/itm/321184001223
8 × 74HC595 8-bit shift registers (to drive 64 LED at a time) http://www.adafruit.com/datasheets/sn74hc595.pdf
8 × FQP27P06 P-Channel MOSFET (to drive each layer) http://www.newark.com/webapp/wcs/stores/servlet/ProductDisplay?catalogId=15003&langId=-1&urlRequestType=Base&partNumber=58K1524&storeId=10194
8 × 2N2222A general purpose transistor (to ground the 8 for MOSFET bases) http://www.newark.com/webapp/wcs/stores/servlet/ProductDisplay?catalogId=15003&langId=-1&urlRequestType=Base&partNumber=58K2048&storeId=10194
64 × 220 ohms Resistors (LED current limiting) http://www.newark.com/webapp/wcs/stores/servlet/ProductDisplay?catalogId=15003&langId=-1&urlRequestType=Base&partNumber=38K5182&storeId=10194
16 × 1K ohm Resistors for 2N2222 base + MOSFET pullups http://www.newark.com/webapp/wcs/stores/servlet/ProductDisplay?catalogId=15003&langId=-1&urlRequestType=Base&partNumber=38K0258&storeId=10194
2 × 18cm x 30cm Perf Board (candidate 1) http://www.icstation.com/product_info.php?products_id=1330
8 × [ Rejected 10K ohm Resistors (MOSFET pullups are now 1K too) ] http://www.newark.com/webapp/wcs/stores/servlet/ProductDisplay?catalogId=15003&langId=-1&urlRequestType=Base&partNumber=38K5141&storeId=10194
1 × [ Rejected - N-Channel MOSFET (candidate 1) ] http://www.adafruit.com/datasheets/irlb8721pbf.pdf
1 × [ Rejected - IRLB8721PBF N-Channel MOSFET (candidate 1) ] http://www.mouser.com/ProductDetail/International-Rectifier/IRLB8721PBF/?qs=9%252bKlkBgLFf0T58WYx/Al5A==
1 × [ Rejected - TIP120 Darlington Transistor (candidate 2) ] http://www.adafruit.com/datasheets/TIP120.pdf
2 × [ Rejected - 13cm x 25cm Perf Board (candidate 2) ] http://www.icstation.com/product_info.php?products_id=1329
2 × 20 Gauge (or slightly thicker) bare hookup wire. Approx. 150 feet. https://www.jameco.com/webapp/wcs/stores/servlet/ProductDisplay?catalogId=10001&langId=-1&productId=2098494&storeId=10001&krypto=vFgRhKXJZKuM8sLfuPRmxv3tw%2BNp1UpMVks4N7ZnwCXOafoBoprazQ%3D%3D&ddkey=https:StoreCatalogDrillDownView
8 × [Alternative] Resistor Network. I didn't know these were available as DIP :-( http://www.jameco.com/webapp/wcs/stores/servlet/ProductDisplay?langId=-1&storeId=10001&productId=108564&catalogId=10001&CID=PDF142CAT