22:
246:
or positional, from all phases of the game (openings, middlegame and endings). These are known as tactical puzzles. They can range from a simple "Mate in one" combination to a complex attack on the opponent's king. Solving tactical chess puzzles is a very common chess teaching technique. Although it
205:
Orthodox chess problems employ the standard rules of chess and involve positions that can arise from actual game play (although the process of getting to that position may be unrealistic). The most common orthodox chess puzzle takes the form of checkmate in
289:. Besides finding a solution to a particular puzzle, mathematicians are usually interested in counting the total number of possible solutions, finding solutions with certain properties, and generalization of the problems to
210:
moves. The puzzle positions are seldom similar to positions from actual play, and the challenge is not to find a winning move, but rather to find the (usually unique) move which forces checkmate as rapidly as possible.
153:
or is from a real game. But puzzles can also set different objectives. Examples include deducing the last move played, the location of a missing piece, or whether a player has lost the right to
202:
because the positions are specially devised, rather than arising from actual games. Chess problems are divided into orthodox and heterodox types, both covering a variety of genres.
247:
is unlikely that the same position will occur in a game the student plays, the recognition of certain patterns can help to find a good move or plan in another position.
149:
Usually the goal is to find the single best, ideally aesthetic move or a series of single best moves in a chess position, which was created by a
383:
94:
66:
316:
113:
73:
51:
242:
Chess puzzles can also be regular positions from a game (with normal rules), usually meant as training positions,
157:. Sometimes the objective is antithetical to normal chess, such as helping (or even compelling) the opponent to
47:
80:
43:
214:
Heterodox chess problems involve conditions that are impossible with normal play, such as multiple kings or
311:
306:
62:
256:
167:
142:
is used to solve logically a chess-related problem. The history of chess puzzles reaches back to the
32:
378:
36:
343:
282:
286:
87:
8:
262:
194:
is an arranged position with a specific task to be fulfilled, such as White mates in
266:
348:
278:
231:
223:
150:
139:
372:
274:
243:
227:
215:
181:
338:
270:
353:
219:
143:
135:
158:
21:
333:
277:. Many famous mathematicians have studied such problems, including
154:
358:
131:
363:
269:
problem, have connections to mathematics, especially to
222:
employ pieces not used in orthodox chess, such as the
317:
List of chess variants § Single-player variants
370:
250:
354:Chess puzzles with easy, med, hard categories
190:is any puzzle involving aspects of chess, a
50:. Unsourced material may be challenged and
114:Learn how and when to remove this message
198:moves. Chess problems are also known as
334:Lifetime updates and many chesspuzzles
371:
349:Chess puzzles with the solution hints
226:(a piece combining the powers of the
344:Collection of tactical chess puzzles
339:Chess puzzles anyone can add or edit
48:adding citations to reliable sources
15:
237:
13:
14:
395:
327:
175:
20:
261:Some chess problems, like the
1:
322:
312:Mutilated chessboard problem
307:Wheat and chessboard problem
146:and has evolved since then.
7:
384:Mathematical chess problems
300:
251:Mathematical chess problems
10:
400:
257:Mathematical chess problem
254:
179:
163:
134:in which knowledge of the
359:Open-source chess puzzles
170:to describe chess moves.
297:or rectangular boards.
220:fairy chess problems
44:improve this article
364:Blitz chess puzzles
263:eight queens puzzle
200:chess compositions
168:algebraic notation
166:This article uses
124:
123:
116:
98:
391:
238:Tactical puzzles
161:one's own king.
119:
112:
108:
105:
99:
97:
56:
24:
16:
399:
398:
394:
393:
392:
390:
389:
388:
369:
368:
330:
325:
303:
259:
253:
240:
184:
178:
173:
172:
171:
120:
109:
103:
100:
57:
55:
41:
25:
12:
11:
5:
397:
387:
386:
381:
379:Chess problems
367:
366:
361:
356:
351:
346:
341:
336:
329:
328:External links
326:
324:
321:
320:
319:
314:
309:
302:
299:
255:Main article:
252:
249:
239:
236:
216:chess variants
180:Main article:
177:
176:Chess problems
174:
165:
164:
140:rules of chess
122:
121:
63:"Chess puzzle"
28:
26:
19:
9:
6:
4:
3:
2:
396:
385:
382:
380:
377:
376:
374:
365:
362:
360:
357:
355:
352:
350:
347:
345:
342:
340:
337:
335:
332:
331:
318:
315:
313:
310:
308:
305:
304:
298:
296:
292:
288:
284:
280:
276:
275:combinatorics
272:
268:
267:knight's tour
264:
258:
248:
245:
235:
233:
229:
225:
221:
217:
212:
209:
203:
201:
197:
193:
192:chess problem
189:
183:
182:Chess problem
169:
162:
160:
156:
152:
147:
145:
141:
137:
133:
129:
118:
115:
107:
96:
93:
89:
86:
82:
79:
75:
72:
68:
65: –
64:
60:
59:Find sources:
53:
49:
45:
39:
38:
34:
29:This article
27:
23:
18:
17:
294:
290:
271:graph theory
260:
241:
213:
207:
204:
199:
195:
191:
188:chess puzzle
187:
185:
148:
128:chess puzzle
127:
125:
110:
101:
91:
84:
77:
70:
58:
42:Please help
30:
144:Middle Ages
373:Categories
323:References
104:March 2021
74:newspapers
159:checkmate
31:does not
301:See also
283:Legendre
244:tactical
230:and the
218:, while
186:While a
151:composer
265:or the
88:scholar
52:removed
37:sources
285:, and
232:knight
224:amazon
155:castle
136:pieces
132:puzzle
90:
83:
76:
69:
61:
287:Gauss
279:Euler
228:queen
130:is a
95:JSTOR
81:books
273:and
138:and
67:news
35:any
33:cite
234:).
46:by
375::
281:,
126:A
295:n
293:×
291:n
208:n
196:n
117:)
111:(
106:)
102:(
92:·
85:·
78:·
71:·
54:.
40:.
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.