Holey 6 Piece Burr – Notchable32

内部空間のある Holey 6 Piece Burr の解の分布を示す。

Notchable32

Notchable Solid 6 Piece Burr すべてを組むために必要な次の 25種(Notchable32)の駒を使って Holey に組む。

0	17	34	51	85
102	119	153	255	187
358	614	791	823	855
870	887	910	927	942
959	974	991	1006	1023

分解不可能なものを含めた組み合わせは 53,705通り(除鏡像27,766通り)ある。穴の数による内訳は以下のとおり。長さ12は長さ10と同じ。

Length 6
Holes	Combi	Apart	Assm	Unique Solutions					Non-Unique Solutions
Holes	Combi	Apart	Assm	1 move	2	3	4	5	max 1 move	2	3	4	5	6	7
1	650	1,080	1,286	396					248	6
2	1,716	4,813	6,841	651	100				807	149	8		1
3	3,380	12,128	20,762	836	280	12	2	2	1,478	658	74	36	2
4	5,382	27,118	49,873	855	381	34		2	2,103	1,571	301	114	20		1
5	6,376	51,958	90,182	522	288	22	2	2	2,214	2,154	862	252	52	2	4
6	6,244	81,991	126,390	299	194	18	8		1,808	2,034	1,325	440	102	4	12
7	5,126	113,306	151,662	112	76	16	10		1,134	1,482	1,502	636	140	10	8
8	3,861	132,270	157,245	51	47	7	8		690	948	1,237	714	149	10
9	2,634	135,658	148,132	18	14	4	8		334	640	862	606	134	12	2
10	1,711	119,092	123,418	10	7		2		175	458	588	403	58	10
11	1,026	93,324	94,320						84	362	386	156	32	4	2
12	599	63,484	63,598	2					65	288	205	27	6	6
13	318	39,242	39,244						36	216	66
14	172	20,966	20,966						40	121	11
15	80	10,152	10,152						26	54
16	40	4,070	4,070						23	17
17	16	1,416	1,416						12	4
18	7	342	342						7
19	2	64	64						2
20	1	8	8						1
Total	39,341	912,482	1,109,971	3,752	1,387	113	40	6	11,287	11,162	7,427	3,384	696	58	29
MaxMoves				1.2	2.3	3.2	4	5.2	1.2	2.3	3.4	4.4	5.4	6.2	7
MaxApart									192	612	662	637	686	522	93
MaxAssm				34	37	37	8	7	223	612	764	644	712	531	114

Length 8
Holes	Combi	Apart	Assm	Unique Solutions				Non-Unique Solutions
Holes	Combi	Apart	Assm	1 move	2	3	4	max 1 move	2	3	4	5	6	7
1	650	1,080	1,286	396				248	6
2	1,715	4,811	6,837	651	100			807	149	8
3	3,376	12,118	20,736	836	280	12		1,478	660	76	34
4	5,366	27,018	49,721	860	378	34		2,117	1,571	294	97	14		1
5	6,368	51,616	90,120	528	292	22		2,260	2,170	830	230	30	2	4
6	6,225	81,228	126,249	309	189	18	8	1,870	2,065	1,281	396	71	6	12
7	5,112	111,908	151,590	114	76	12	10	1,184	1,528	1,482	576	114	8	8
8	3,846	130,583	157,196	54	45	2	8	729	985	1,240	661	114	8
9	2,626	133,898	148,120	22	14		6	354	668	902	546	100	14
10	1,709	118,001	123,416	12	5		2	190	472	604	358	58	8
11	1,026	92,822	94,320					86	374	366	166	26	8
12	599	63,402	63,598	2				65	281	185	50	10	6
13	318	39,242	39,244					36	212	52	16	2
14	172	20,966	20,966					40	119	13
15	80	10,152	10,152					26	54
16	40	4,070	4,070					23	17
17	16	1,416	1,416					12	4
18	7	342	342					7
19	2	64	64					2
20	1	8	8					1
Total	39,254	904,745	1,109,451	3,784	1,379	100	34	11,535	11,335	7,333	3,130	539	60	25
MaxMoves				1.2	2.3	3.2	4	1.2	2.3	3.4	4.4	5.3	6	7
MaxApart								240	612	662	637	362	666	76
MaxAssm				34	37	37	8	412	612	764	644	464	712	86

Length 10
Holes	Combi	Apart	Assm	Unique Solutions				Non-Unique Solutions
Holes	Combi	Apart	Assm	1 move	2	3	4	max 1 move	2	3	4	5	6	7	8
1	650	1,080	1,286	396				248	6
2	1,715	4,811	6,837	651	100			807	149	8
3	3,376	12,118	20,736	836	280	12		1,478	660	76	34
4	5,366	27,018	49,721	860	378	34		2,117	1,571	294	97	14		1
5	6,368	51,616	90,120	528	292	22		2,260	2,170	830	230	30	2	4
6	6,223	81,194	126,227	309	189	18	8	1,875	2,069	1,277	392	68	6	12
7	5,112	111,818	151,590	114	76	12	10	1,192	1,530	1,478	574	110	8	8
8	3,843	130,360	157,172	54	45	2	8	735	998	1,231	655	107	8
9	2,624	133,562	148,116	22	14		6	362	678	890	544	96	12
10	1,707	117,686	123,413	12	4		2	196	485	587	359	56	6
11	1,026	92,568	94,320					94	380	356	162	28	6
12	599	63,284	63,598	2				68	285	175	51	10	6		2
13	318	39,208	39,244					36	214	48	18		2
14	172	20,962	20,966					41	118	13
15	80	10,152	10,152					26	54
16	40	4,070	4,070					23	17
17	16	1,416	1,416					12	4
18	7	342	342					7
19	2	64	64					2
20	1	8	8					1
Total	39,245	903,337	1,109,398	3,784	1,378	100	34	11,580	11,388	7,263	3,116	519	56	25	2
MaxMoves				1.2	2.3	3.2	4	1.2	2.3	3.4	4.4	5.2	6	7	8
MaxApart								240	612	662	637	361	659	76	349
MaxAssm				34	37	37	8	412	612	764	644	464	712	86	356

Name	Pieces	Holes	Length	Moves	Sol	Designer
Wyatt #15	0 51 255 1023×3	2	6+	1	1 / 1
Wyatt #13	0 51 1023×4	1	6+	1	1 / 1
Wyatt #14, #17	0 187 255×2 1023×2	2	6+	1	2 / 2
Wyatt #16	0 187 255 823 1023×2	1	6+	1	2 / 2
Wyatt #16	0 187 255 974 1023×2	1	6+	1	2 / 2
Notchable 2 Moves 1 Hole #2	51 791 823 910 1006 1023	1	6+	2 max	7 / 8
Notchable 2 Moves 1 Hole #2	51 791 887 910 974 1023	1	6+	2 max	7 / 8
jvk #25.1	102 187 255 823 927 1023	3	6	5.2	1 / 7	Jürg von Känel
jvk #25.1	102 187 255 927 974 1023	3	6	5.2	1 / 7	Jürg von Känel
Notchable32 Unique 5 Moves 4 Holes	102 255×2 823 927 959	4	6	5	1 / 6
Notchable32 Unique 5 Moves 4 Holes	102 255×2 927 974 991	4	6	5	1 / 6
Notchable32 Unique 5 Moves 5 Holes	102 255×2 927×2 959	5	6	5	1 / 4
Notchable32 Unique 5 Moves 5 Holes	102 255×2 927×2 991	5	6	5	1 / 4
Notchable 5 Moves 2 Holes	119 153×2 255 1023×2	2	6	5.4 max	2 / 4
Notchable 2 Moves 1 Hole #3	119 187 791 823 910 1023	1	6+	2	2 / 2
Notchable 2 Moves 1 Hole #3	119 187 791 910 974 1023	1	6+	2	2 / 2
Notchable32 7 Moves 4 Holes	119 187 870 927×2 1023	4	6+	7 max	6 / 7
1 Hole L2 Notchable	119 791 823 910 959 974	1	6+	2 max	4 / 4	Bill Cutler
1 Hole L2 Notchable	119 791 823 910 974 991	1	6+	2 max	4 / 4	Bill Cutler
Notchable32 Least Apart/Assemblies	358 614 855 927 1023×2	5	6+	2.2	2 / 81
Notchable32 Least Apart/Assemblies	358 614 927 942 1023×2	5	6+	2.2	2 / 81
Notchable32 'Monster'	358 614 855 959 991 1023	5	6+	2.2	4 / 156	Bruno Curfs
Notchable32 'Monster'	358 614 942 959 991 1023	5	6+	2.2	4 / 156	Bruno Curfs
Notchable32 Most Apparent Solutions	358 614 887 959 991 1023	6	8+	3 max	183 / 389
Notchable32 Most Apparent Solutions	358 614 959 991 1006 1023	6	8+	3 max	183 / 389
Notchable32 Unique Most Assemblies #1	358 870 927 942 1006 1023	4	6+	3	1 / 37
Notchable32 Unique Most Assemblies #1	614 855 870 887 927 1023	4	6+	3	1 / 37
Notchable32 Unique Most Assemblies #2	358 870 942 959 991 1006	4	6+	2	1 / 37
Notchable32 Unique Most Assemblies #2	614 855 870 887 959 991	4	6+	2	1 / 37
Notchable32 Most Solutions & Most Assemblies	358 927 959 991 1023×2	11	6	5.4 max	686 / 712
Notchable32 Most Solutions & Most Assemblies	614 927 959 991 1023×2	11	6	5.4 max	686 / 712
Notchable32 8 Moves	358 927 991 1023×3	12	10+	8 max	349 / 356
Notchable32 8 Moves	614 927 959 1023×3	12	10+	8 max	349 / 356
Notchable32 Unique Most Holes	887×2 991×4	12	6+	1	1 / 1
Notchable32 Unique Most Holes	959×4 1006×2	12	6+	1	1 / 1

PUZZLES IN WOOD

Jul 11, 2002 by k16@chiba.email.ne.jp