Knowledge (XXG)

Shikaku

Source 📝

93:
Shikaku is played on a rectangular grid. Some of the squares in the grid are numbered. The objective is to divide the grid into rectangular and square pieces such that each piece contains exactly one number, and that number represents the area of the rectangle.
78: 86: 173: 160: 290: 300: 295: 252:
Takenaga, Yasuhiko; Aoyagi, Shintaro; Iwata, Shigeki; Kasai, Takumi (2013). "Shikaku and ripple effect are NP-complete".
115: 168:. A Taste Of Mathematics / Aime-T-On Les Mathématiques. Vol. 17. Canadian Mathematical Society. pp. 1–7. 285: 190: 58: 65:
under the name "Shikaku". The puzzle later spread to other publications and has been adapted into
234: 62: 46: 169: 226: 265: 102:
Determining whether a given instance of Shikaku has a valid solution has been proven to be
261: 279: 195: 156: 103: 135: 66: 77: 230: 238: 85: 217:
Wanko, Jeffrey J. (November 2009). "Japanese logic puzzles and proof".
57:
The game was invented by Yoshiano Anpuku, a math student at the
225:(4). National Council of Teachers of Mathematics: 266–271. 61:, in 1989 and published by Japanese games magazine 191:"Inside Japan's Cult-Favorite Puzzle Laboratory" 30: 24: 8: 84: 76: 127: 7: 162:Mathematical Logic Puzzles on a Grid 14: 45:) is a logic puzzle published by 1: 189:Bellos, Alex (May 23, 2022). 159:. "Chapter 1: Rectangles". 138:. Nikoli. 20 September 2021 116:List of Nikoli puzzle types 31: 317: 136:"Shikaku (Divide by Box)" 81:An initial configuration. 25: 291:Rectangular subdivisions 98:Computational complexity 219:The Mathematics Teacher 254:Congressus Numerantium 90: 82: 231:10.5951/mt.103.4.0266 88: 80: 301:Japanese board games 296:NP-complete problems 37:(also anglicised as 59:University of Kyoto 91: 83: 175:978-0-919558-30-4 308: 270: 269: 249: 243: 242: 214: 208: 207: 205: 203: 186: 180: 179: 167: 153: 147: 146: 144: 143: 132: 36: 34: 28: 27: 316: 315: 311: 310: 309: 307: 306: 305: 276: 275: 274: 273: 251: 250: 246: 216: 215: 211: 201: 199: 188: 187: 183: 176: 165: 155: 154: 150: 141: 139: 134: 133: 129: 124: 112: 100: 75: 55: 32:shikaku ni kire 22: 17: 12: 11: 5: 314: 312: 304: 303: 298: 293: 288: 278: 277: 272: 271: 244: 209: 181: 174: 148: 126: 125: 123: 120: 119: 118: 111: 108: 99: 96: 74: 71: 54: 51: 15: 13: 10: 9: 6: 4: 3: 2: 313: 302: 299: 297: 294: 292: 289: 287: 286:Logic puzzles 284: 283: 281: 267: 263: 259: 255: 248: 245: 240: 236: 232: 228: 224: 220: 213: 210: 198: 197: 196:Atlas Obscura 192: 185: 182: 177: 171: 164: 163: 158: 157:Milner, Susan 152: 149: 137: 131: 128: 121: 117: 114: 113: 109: 107: 105: 97: 95: 87: 79: 72: 70: 68: 64: 60: 52: 50: 48: 44: 40: 39:Divide by Box 33: 21: 257: 253: 247: 222: 218: 212: 200:. Retrieved 194: 184: 161: 151: 140:. Retrieved 130: 101: 92: 56: 42: 38: 19: 18: 16:Logic puzzle 260:: 119–127. 104:NP-complete 89:A solution. 67:video games 280:Categories 142:2024-05-21 122:References 43:Rectangles 239:20876604 110:See also 266:3220078 202:May 14, 53:History 20:Shikaku 264:  237:  172:  63:Nikoli 47:Nikoli 235:JSTOR 166:(PDF) 73:Rules 26:四角に切れ 204:2024 170:ISBN 258:216 227:doi 223:103 41:or 282:: 262:MR 256:. 233:. 221:. 193:. 106:. 69:. 49:. 29:, 268:. 241:. 229:: 206:. 178:. 145:. 35:) 23:(

Index

Nikoli
University of Kyoto
Nikoli
video games


NP-complete
List of Nikoli puzzle types
"Shikaku (Divide by Box)"
Milner, Susan
Mathematical Logic Puzzles on a Grid
ISBN
978-0-919558-30-4
"Inside Japan's Cult-Favorite Puzzle Laboratory"
Atlas Obscura
doi
10.5951/mt.103.4.0266
JSTOR
20876604
MR
3220078
Categories
Logic puzzles
Rectangular subdivisions
NP-complete problems
Japanese board games

Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.