Table 1: Groups of relations, names, closure intersection and exterior intersections

Group	Name		Closure intersections					Exterior intersections
1	Disjoint	R026	0	0	0	0	1	1	0	1	0	R026
		R027	0	0	0	0	1	1	0	1	1	R027
		R030	0	0	0	0	1	1	1	1	0	R030
		R031	0	0	0	0	1	1	1	1	1	R031
2		R051	0	0	0	1	1	0	0	1	1	R051
		R055	0	0	0	1	1	0	1	1	1	R055
		R063	0	0	0	1	1	1	1	1	1	R063
3		R092	0	0	1	0	1	1	1	0	0	R092
		R093	0	0	1	0	1	1	1	0	1	R093
		R095	0	0	1	0	1	1	1	1	1	R095
4		R117	0	0	1	1	1	0	1	0	1	R117
		R119	0	0	1	1	1	0	1	1	1	R119
		R125	0	0	1	1	1	1	1	0	1	R125
		R127	0	0	1	1	1	1	1	1	1	R127
5		R159	0	1	0	0	1	1	1	1	1	R159
6	Contain	R179	0	1	0	1	1	0	0	1	1	R179
		R183	0	1	0	1	1	0	1	1	1	R183
		R191	0	1	0	1	1	1	1	1	1	R191
7	Inside	R220	0	1	1	0	1	1	1	0	0	R220
		R221	0	1	1	0	1	1	1	0	1	R221
		R223	0	1	1	0	1	1	1	1	1	R223
8	Overlap	R243	0	1	1	1	1	0	0	1	1	R243
		R245	0	1	1	1	1	0	1	0	1	R245
		R247	0	1	1	1	1	0	1	1	1	R247
		R252	0	1	1	1	1	1	1	0	0	R252
		R253	0	1	1	1	1	1	1	0	1	R253
		R255	0	1	1	1	1	1	1	1	1	R255
9	Meet	R272	1	0	0	0	1	0	0	0	0	R272
		R275	1	0	0	0	1	0	0	1	1	R275
		R277	1	0	0	0	1	0	1	0	1	R277
		R279	1	0	0	0	1	0	1	1	1	R279
		R284	1	0	0	0	1	1	1	0	0	R284
		R285	1	0	0	0	1	1	1	0	1	R285
		R287	1	0	0	0	1	1	1	1	1	R287
10		R311	1	0	0	1	1	0	1	1	1	R311
		R316	1	0	0	1	1	1	1	0	0	R316
		R317	1	0	0	1	1	1	1	0	1	R317
		R319	1	0	0	1	1	1	1	1	1	R319
11		R339	1	0	1	0	1	0	0	1	1	R339
		R343	1	0	1	0	1	0	1	1	1	R343
		R349	1	0	1	0	1	1	1	0	1	R349
		R351	1	0	1	0	1	1	1	1	1	R351
12		R373	1	0	1	1	1	0	1	0	1	R373
		R375	1	0	1	1	1	0	1	1	1	R375
		R381	1	0	1	1	1	1	1	0	1	R381
		R383	1	0	1	1	1	1	1	1	1	R383
13	Equal	R400	1	1	0	0	1	0	0	0	0	R400
		R403	1	1	0	0	1	0	0	1	1	R403
		R405	1	1	0	0	1	0	1	0	1	R405
		R407	1	1	0	0	1	0	1	1	1	R407
		R412	1	1	0	0	1	1	1	0	0	R412
		R413	1	1	0	0	1	1	1	0	1	R413
		R415	1	1	0	0	1	1	1	1	1	R415
14	Covers	R435	1	1	0	1	1	0	0	1	1	R435
		R439	1	1	0	1	1	0	1	1	1	R439
		R444	1	1	0	1	1	1	1	0	0	R444
		R445	1	1	0	1	1	1	1	0	1	R445
		R447	1	1	0	1	1	1	1	1	1	R447
15	CoveredBy	R467	1	1	1	0	1	0	0	1	1	R467
		R471	1	1	1	0	1	0	1	1	1	R471
		R476	1	1	1	0	1	1	1	0	0	R476
		R477	1	1	1	0	1	1	1	0	1	R477
		R479	1	1	1	0	1	1	1	1	1	R479
16	Overlap	R499	1	1	1	1	1	0	0	1	1	R499
		R501	1	1	1	1	1	0	1	0	1	R501
		R503	1	1	1	1	1	0	1	1	1	R503
		R508	1	1	1	1	1	1	1	0	0	R508
		R509	1	1	1	1	1	1	1	0	1	R509
		R511	1	1	1	1	1	1	1	1	1	R511

Table 2: Possible relations between simple objects
 

Relation (decimal)

Relation (binary)

P,P

P,X

L,L IR

L,L > IR

L,S IR2

L,S > IR2

L,B

S,S IR2

S,S > IR2

S,B

B,B

R026

0000 1 1010

*

R030

0000 1 1110

*

R031

0000 1 1111

*

*

*

*

*

*

*

*

*

R055

0001 1 0111

*

*

*

R063

0001 1 1111

*

*

*

*

*

*

R092

0010 1 1100

*

R095

0010 1 1111

-

-

*

-

-

-

R117

0011 1 0101

*

*

R125

0011 1 1101

*

*

*

R127

0011 1 1111

*

*

*

R159

0100 1 1111

*

*

*

R191

0101 1 1111

*

*

*

*

*

*

R220

0110 1 1100

*

*

*

*

*

*

*

*

*

R221

0110 1 1101

*

*

*

R223

0010 1 1111

-

-

*

-

-

-

R245

0111 1 0101

*

R252

0111 1 1100

*

*

*

*

R253

0111 1 1101

*

*

*

*

*

*

R255

0111 1 1111

*

*

*

*

*

*

R272

1000 1 0000

*

R277

1000 1 0101

*

*

R284

1000 1 1100

*

R285

1000 1 1101

*

*

*

*

R287

1000 1 1111

*

*

*

*

*

*

*

*

*

R316

1001 1 1100

*

*

*

*

R317

1001 1 1101

*

*

*

*

R319

1001 1 1111

*

*

*

*

*

R349

1010 1 1101

*

*

*

R373

1011 1 0101

*

R381

1011 1 1101

*

*

R383

1011 1 1111

*

R400

1100 1 0000

*

*

*

*

*

R405

1100 1 0101

*

*

R412

1100 1 1100

*

*

*

*

R413

1100 1 1101

*

R415

1100 1 1111

*

*

*

R444

1101 1 1100

*

*

*

*

R445

1101 1 1101

*

*

*

*

R447

1101 1 1111

*

*

*

*

*

R476

1110 1 1100

*

*

*

*

*

*

*

*

*

R477

1110 1 1101

*

*

*

R501

1111 1 0101

*

R508

1111 1 1100

*

*

*

*

R509

1111 1 1101

*

*

*

*

R511

1111 1 1111

*

*

*

*

Number relations

2

3

6+

23+

19

31

19

6+

25+

19

6+

Table 2: Possible relations between simple objects (continue)
 

X,P	L,L IR	L,L > IR	S,L IR2	S,L > IR2	B,L	S,S IR2	S,S > IR2	B,S	B,B	Converse Relation	Converse Relation
*										0000 1 1011	R027
			*	*	*			*		0000 1 1111	R031
		*					*			0010 1 1101	R093
		*	*	*	*		*	*		0010 1 1111	R095
*										0001 1 0011	R051
		-	-	*	-		-	-		0001 1 1111	R063
											-
		*		*			*			0011 1 0111	R119
				*						0100 1 1111	R127
				*						0101 1 1111	R159
		*	*	*	*		*	*		0110 1 1111	R223
	*	*	*	*	*	*	*	*	*	0101 1 0011	R179
		*		*			*			0101 1 0111	R183
		-	-	*	-		-	-		0101 1 1111	R191
											-
			*	*	*			*		0111 1 0011	R243
		*	*	*	*		*	*		0111 1 0111	R247
			*	*	*					0111 1 1111	R255
											-
											-
*										1000 1 0011	R275
			*	*	*			*		1000 1 0111	R279
			*	*	*			*		1000 1 1111	R287
			*	*	*			*		1010 1 0011	R339
			*	*	*			*		1010 1 0111	R343
			*	*	*		*	*		1010 1 1111	R351
		*		*			*			1001 1 0111	R311
											-
				*			*			1011 1 0111	R375
											-
											-
											-
			*	*	*			*		1100 1 0011	R403
				*						1100 1 0111	R407
				*						1100 1 1111	R415
			*	*	*			*		1110 1 0011	R467
			*	*	*			*		1110 1 0111	R471
			*	*	*		*	*		1110 1 1111	R479
	*	*	*	*	*	*	*	*	*	1101 1 0011	R435
		*		*			*			1101 1 0111	R439
											-
			*	*	*			*		1111 1 0011	R499
			*	*	*			*		1111 1 0111	R503
								*		1111 1 1111	R511
3	2	10	19	31	19	2	13	19	2	Number relations