T-Hexomino Packing (Posted on 2016-08-26)

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	Submitted by Brian Smith
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Solution:	(Hide)
No Rectangle Solution: In order to fill a corner of the rectangle, two of the hexominos would need to be placed as depicted: AAAAA.. B.A.... B...... BB..... B...... B...... ....... But this creates a hole that cannot be filled, therefore the T-hexomino cannot tile any rectangle. 5x5x6 Box Solution: The letters A-Y represent the 25 3-D T-hexominos. This shows the 5x5x6 box split into 6 layers of 5x5. Layer 1 Layer 2 Layer 3 Layer 4 Layer 5 Layer 6 AAAAA CDAFG JJJJJ LMJQN RRRRR TURYV BBBBB CDBFG KKKKK LMKQN SSSSS TUSYV CDEFG CDEFG LMEEN LMEQN TUEQV TUYYV HHHHH CDHFG OOOOO LMOQN WWWWW TUWYV IIIII CDIFG PPPPP LMPQN XXXXX TUXYV

	Subject	Author	Date
	Part 1 only	Jer	2016-08-28 21:34:17