Shirakawa's Box Packing Collection

The box packing collection by 白川俊博 (Toshihiro Shirakawa).

☞ Tiling and Packing results of Torsten Sillke

Pentomino

Complete.

3D
	2x[3-4]xN	0		1993	Sillke
10	2x5x5	1	prime minimal		Reid
16	2x5x8	7	prime	1993	Sillke
22	2x5x11	20	prime	1993	Sillke
	2x5x12	0		1993	Sillke
28	2x5x14	76	prime	1993	Sillke
34	2x5x17	272	prime	1993	Sillke
	2x[6-7]xN	0		1993	Sillke
	2x9xN	0		1993	Sillke
	2x10x12	0		1993	Sillke
	2x12x15	0		1993	Sillke
96	2x12x20	1+	prime	1993	Sillke
120	2x12x25	1+	prime	1993	Postl
144	2x12x30	1+	prime	1993	Postl
168	2x12x35	1+	prime	1993	Postl
	3x[3-8]xN	0		1993	Sillke
	3x9x10	0		1993	Sillke
	3x9x15	0		1993	Sillke
108	3x9x20	1+	prime	1993	Sillke
135	3x9x25	1+	prime	1998	Sillke
162	3x9x30	1+	prime	1993	Postl
189	3x9x35	1+	prime	1998	Sillke
	3x10x10	0		1993	Sillke
72	3x10x12	1+	prime	1993	Sillke
	3x10x[13-14]	0		1993	Sillke
90	3x10x15	1+	prime	1993	Sillke
	3x10x[16-17]	0		1993	Sillke
108	3x10x18	1+	prime	1993	Postl
114	3x10x19	1+	prime	1993	Postl
120	3x10x20	1+	prime	1993	Postl
126	3x10x21	1+	prime	1993	Postl
132	3x10x22	1+	prime	1993	Postl
138	3x10x23	1+	prime	1993	Postl
150	3x10x25	1+	prime	1993	Postl
156	3x10x26	1+	prime	1993	Postl
168	3x10x28	1+	prime	1993	Postl
174	3x10x29	1+	prime	1993	Postl
	3x11xN	0		1993	Postl
108	3x12x15	1+	prime	1993	Postl
117	3x13x15	1+	prime	2008	van de Konijnenberg
156	3x13x20	1+	prime	1993	Postl
195	3x13x25	1+	prime	2008	van de Konijnenberg
126	3x14x15	1+	prime	2008	van de Konijnenberg
168	3x14x20	1+	prime	1993	Postl
210	3x14x25	1+	prime	2008	van de Konijnenberg
135	3x15x15	1+	prime	2008	van de Konijnenberg
144	3x15x16	1+	prime	2008	van de Konijnenberg
153	3x15x17	1+	prime	2008	van de Konijnenberg
162	3x15x18	1+	prime	2008	van de Konijnenberg
171	3x15x19	1+	prime	2008	van de Konijnenberg
189	3x15x21	1+	prime	2008	van de Konijnenberg
192	3x16x20	1+	prime	2008	van de Konijnenberg
240	3x16x25	1+	prime	2015	Shirakawa
204	3x17x20	1+	prime	2008	van de Konijnenberg
255	3x17x25	1+	prime	2015	Shirakawa
	4x4xN	0		1993	Sillke
	4x5x[6-7]	0		1993	Sillke
	4x5x9	0		1993	Sillke
48	4x5x12	1+	prime	1993	Sillke
48	4x6x10	1+	prime	1993	Sillke
72	4x6x15	1+	prime	1993	Postl
56	4x7x10	1+	prime	1993	Sillke
84	4x7x15	1+	prime	1993	Postl
72	4x9x10	1+	prime	1993	Postl
108	4x9x15	1+	prime	1993	Postl
	5x5x5	0		1993	Sillke
	5x5x7	0		1993	Sillke
	5x5x9	0		1993	Sillke
55	5x5x11	1+	prime	1993	Sillke
	5x6x6	0		1993	Sillke
42	5x6x7	1+	prime	1993	Sillke
54	5x6x9	1+	prime	1993	Postl
49	5x7x7	1+	prime	2008	van de Konijnenberg
56	5x7x8	1+	composite	2008	van de Konijnenberg
63	5x7x9	1+	prime	2008	van de Konijnenberg
81	5x9x9	1+	prime	2015	Shirakawa
72	6x6x10	1+	prime	1993	Sillke
108	6x6x15	1+	prime	1993	Postl

4D
28	2x2x5x7	1+	prime	2015	Shirakawa
36	2x2x5x9	1+	prime	2015	Shirakawa
18	2x3x3x5	1+	prime	2015	Shirakawa
24	2x3x4x5	1+	prime	2015	Shirakawa
32	2x4x4x5	1+	prime	2015	Shirakawa
27	3x3x3x5	1+	prime	2015	Shirakawa

*D
	2x...x2x[3-4]xN	0		2015	Shirakawa
	2x...x2x6xN	0		2015	Shirakawa

Sillke overlooked 3x16x25, 3x17x25 and 5x9x9. And he says 5x7x8 is prime, but it is not prime: 2x5x8 + 2x5x5 *4.

Mar 13, 2015 by k16@chiba.email.ne.jp