Knowledge

File:Triangle-free penny graph.jpg

Source 📝

622:"}},"text\/plain":{"en":{"":"inception"}}},"{\"value\":{\"time\":\"+2018-05-17T00:00:00Z\",\"timezone\":0,\"before\":0,\"after\":0,\"precision\":11,\"calendarmodel\":\"http:\\\/\\\/www.wikidata.org\\\/entity\\\/Q1985727\"},\"type\":\"time\"}":{"text\/html":{"en":{"P571":"17 May 2018"}},"text\/plain":{"en":{"P571":"17 May 2018"}}}}": --> 38: 335: 214: 219: 98: 355:"}},"text\/plain":{"en":{"P2093":"David Eppstein","P4174":"David Eppstein"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":4174,\"id\":\"P4174\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":" 347:"}},"text\/plain":{"en":{"P2699":"https:\/\/commons.wikimedia.org\/wiki\/user:David_Eppstein"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":2093,\"id\":\"P2093\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":" 490:"}},"text\/plain":{"en":{"":"copyright license"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":18199165,\"id\":\"Q18199165\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P275":" 446:"}},"text\/plain":{"en":{"":"copyright status"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":50423863,\"id\":\"Q50423863\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P6216":" 534:"}},"text\/plain":{"en":{"":"source of file"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":66458942,\"id\":\"Q66458942\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P7482":" 578:"}},"text\/plain":{"en":{"":"captured with"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":64115,\"id\":\"Q64115\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P4082":" 339:"}},"text\/plain":{"en":{"":"creator"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":2699,\"id\":\"P2699\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":" 574: 343:"}},"text\/plain":{"en":{"":"URL"}}},"{\"value\":\"https:\\\/\\\/commons.wikimedia.org\\\/wiki\\\/user:David_Eppstein\",\"type\":\"string\"}":{"text\/html":{"en":{"P2699":" 260:– You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. 352: 344: 535: 491: 447: 579: 575: 531: 443: 356: 348: 340: 619: 487: 336: 494:"}},"text\/plain":{"en":{"P275":"Creative Commons Attribution-ShareAlike 4.0 International"}}}}": --> 64: 60: 56: 52: 48: 42: 109: 77: 561: 517: 473: 740:
This file contains additional information, probably added from the digital camera or scanner used to create or digitize it.
267: 605: 589: 545: 457: 421: 408: 393: 538:"}},"text\/plain":{"en":{"P7482":"original creation by uploader"}}}}": --> 428: 629: 501: 366: 325: 846: 869: 229: 743:
If the file has been modified from its original state, some details may not fully reflect the modified file.
266:– If you remix, transform, or build upon the material, you must distribute your contributions under the 582:"}},"text\/plain":{"en":{"P4082":"Canon EOS 40D"}}}}": --> 359:"}},"text\/plain":{"en":{"":"Wikimedia username"}}}}": --> 450:"}},"text\/plain":{"en":{"P6216":"copyrighted"}}}}": --> 725:
The following pages on the English Knowledge use this file (pages on other projects are not listed):
400: 117: 697: 692: 68: 37: 906: 156:
with the property that all the pennies on the convex hull touch at least three other pennies
226: 185: 8: 942: 708: 104: 315: 201:
I, the copyright holder of this work, hereby publish it under the following license:
752: 1026: 932: 888: 769: 762: 153: 809: 639: 599: 555: 511: 467: 376: 976: 729: 789: 779: 665:
Click on a date/time to view the file as it appeared at that time.
165: 345:
https:\/\/commons.wikimedia.org\/wiki\/user:David_Eppstein
518:
Creative Commons Attribution-ShareAlike 4.0 International
492:
Creative Commons Attribution-ShareAlike 4.0 International
92: 309:
Add a one-line explanation of what this file represents
82:(2,592 × 2,592 pixels, file size: 1.26 MB, MIME type: 723: 663: 116:
Commons is a freely licensed media file repository.
401:https://commons.wikimedia.org/user:David_Eppstein 947:Flash did not fire, compulsory flash suppression 277:https://creativecommons.org/licenses/by-sa/4.0 97: 283:Creative Commons Attribution-Share Alike 4.0 207: 161: 139: 181: 171: 14: 243:– to copy, distribute and transmit the work 230:Attribution-Share Alike 4.0 International 128: 715:User created page with UploadWizard 656: 218: 213: 13: 738: 314: 308: 204: 200: 146: 129: 75: 1099: 745: 313: 1079:757DB039E28AC50E6A546B73224FC472 800:Date and time of data generation 724: 299: 254:Under the following conditions: 225:This file is licensed under the 217: 212: 206: 96: 21: 1068:Date metadata was last modified 847:Adobe Photoshop CS5.1 Macintosh 296: 147: 1076:Unique ID of original document 660: 295: 26: 1: 562:original creation by uploader 536:original creation by uploader 142:Triangle-free penny graph.jpg 31: 968:DateTimeDigitized subseconds 720: 321:Items portrayed in this file 194: 7: 1002:Focal plane resolution unit 960:DateTimeOriginal subseconds 880:Date and time of digitizing 735: 10: 1104: 268:same or compatible license 136: 131: 853:File change date and time 657: 175: 16: 994:Focal plane Y resolution 986:Focal plane X resolution 298: 234: 103:This is a file from the 36: 1044:Serial number of camera 1010:Custom image processing 714: 164: 107:. Information from its 110:description page there 41:Size of this preview: 916:Maximum land aperture 827:Horizontal resolution 166:17 May 2018, 13:26:49 69:2,592 × 2,592 pixels 65:2,048 × 2,048 pixels 61:1,024 × 1,024 pixels 952:DateTime subseconds 835:Vertical resolution 749:Camera manufacturer 249:– to adapt the work 47:Other resolutions: 1071:12:21, 17 May 2018 1055:EF17-40mm f/4L USM 1036:Scene capture type 1031:Auto white balance 883:13:26, 17 May 2018 856:19:21, 17 May 2018 803:13:26, 17 May 2018 693:06:48, 18 May 2018 422:Wikimedia username 409:author name string 357:Wikimedia username 349:author name string 1091: 1090: 1060:Rating (out of 5) 864:Aperture priority 718: 502:copyright license 488:copyright license 307: 191: 190: 125: 124: 105:Wikimedia Commons 1095: 997:4,445.9691252144 989:4,438.3561643836 924:Subject distance 861:Exposure Program 746: 705: 667: 458:copyright status 444:copyright status 431: 426: 416: 413: 403: 398: 305: 290: 287: 284: 281: 278: 270:as the original. 227:Creative Commons 221: 220: 216: 215: 210: 209: 177: 167: 152:A triangle-free 151: 143: 137: 121: 100: 99: 93: 87: 85: 72: 57:768 × 768 pixels 53:480 × 480 pixels 49:240 × 240 pixels 43:600 × 600 pixels 1103: 1102: 1098: 1097: 1096: 1094: 1093: 1092: 774:1/50 sec (0.02) 734: 726: 719: 711: 703: 659: 658: 655: 654: 653: 652: 651: 650: 649: 648: 646: 636: 635: 634: 632: 617: 616: 615: 614: 613: 612: 611: 610: 608: 596: 595: 594: 592: 573: 572: 571: 570: 569: 568: 567: 566: 564: 552: 551: 550: 548: 529: 528: 527: 526: 525: 524: 523: 522: 520: 508: 507: 506: 504: 485: 484: 483: 482: 481: 480: 479: 478: 476: 464: 463: 462: 460: 441: 440: 439: 438: 437: 436: 435: 434: 433: 432: 427: 424: 418: 417: 414: 411: 405: 404: 399: 396: 387: 386: 385: 383: 373: 372: 371: 369: 334: 333: 332: 331: 330: 328: 312: 311: 310: 293: 292: 291: 288: 285: 282: 279: 276: 275: 233: 222: 203: 202: 197: 192: 157: 141: 134: 127: 126: 115: 114: 113:is shown below. 89: 83: 81: 74: 73: 46: 12: 11: 5: 1101: 1089: 1088: 1085: 1081: 1080: 1077: 1073: 1072: 1069: 1065: 1064: 1061: 1057: 1056: 1053: 1049: 1048: 1045: 1041: 1040: 1037: 1033: 1032: 1029: 1023: 1022: 1019: 1015: 1014: 1013:Normal process 1011: 1007: 1006: 1003: 999: 998: 995: 991: 990: 987: 983: 982: 979: 973: 972: 969: 965: 964: 961: 957: 956: 953: 949: 948: 945: 939: 938: 935: 929: 928: 925: 921: 920: 917: 913: 912: 909: 903: 902: 899: 895: 894: 891: 885: 884: 881: 877: 876: 873: 866: 865: 862: 858: 857: 854: 850: 849: 844: 840: 839: 836: 832: 831: 828: 824: 823: 820: 816: 815: 812: 805: 804: 801: 797: 796: 793: 786: 785: 782: 776: 775: 772: 766: 765: 760: 756: 755: 750: 737: 733: 732: 722: 717: 716: 713: 710:David Eppstein 709: 706: 702:2,592 × 2,592 700: 695: 690: 686: 685: 682: 679: 676: 673: 670: 662: 647: 644: 642: 641: 640: 638: 637: 633: 628: 626: 625: 624: 623: 621: 609: 604: 602: 601: 600: 598: 597: 593: 588: 586: 585: 584: 583: 581: 577: 565: 560: 558: 557: 556: 554: 553: 549: 546:source of file 544: 542: 541: 540: 539: 537: 533: 532:source of file 521: 516: 514: 513: 512: 510: 509: 505: 500: 498: 497: 496: 495: 493: 489: 477: 472: 470: 469: 468: 466: 465: 461: 456: 454: 453: 452: 451: 449: 445: 429:David Eppstein 420: 419: 415:David Eppstein 407: 406: 392: 391: 390: 389: 388: 384: 381: 379: 378: 377: 375: 374: 370: 365: 363: 362: 361: 360: 358: 354: 353:David Eppstein 350: 346: 342: 338: 329: 324: 322: 319: 318: 317: 316: 304: 303: 300: 297: 274: 273: 272: 271: 261: 252: 251: 250: 244: 237:You are free: 224: 223: 205: 199: 198: 196: 193: 189: 188: 186:David Eppstein 183: 179: 178: 173: 169: 168: 163: 159: 158: 144: 135: 133: 130: 123: 122: 101: 91: 90: 40: 35: 34: 29: 24: 19: 9: 6: 4: 3: 2: 1100: 1086: 1083: 1082: 1078: 1075: 1074: 1070: 1067: 1066: 1062: 1059: 1058: 1054: 1051: 1050: 1046: 1043: 1042: 1038: 1035: 1034: 1030: 1028: 1027:White balance 1025: 1024: 1021:Auto exposure 1020: 1018:Exposure mode 1017: 1016: 1012: 1009: 1008: 1004: 1001: 1000: 996: 993: 992: 988: 985: 984: 980: 978: 975: 974: 970: 967: 966: 962: 959: 958: 954: 951: 950: 946: 944: 941: 940: 936: 934: 933:Metering mode 931: 930: 926: 923: 922: 918: 915: 914: 910: 908: 907:Exposure bias 905: 904: 900: 898:APEX aperture 897: 896: 892: 890: 889:Shutter speed 887: 886: 882: 879: 878: 874: 871: 868: 867: 863: 860: 859: 855: 852: 851: 848: 845: 843:Software used 842: 841: 837: 834: 833: 829: 826: 825: 821: 818: 817: 813: 811: 807: 806: 802: 799: 798: 794: 791: 788: 787: 783: 781: 778: 777: 773: 771: 770:Exposure time 768: 767: 764: 763:Canon EOS 40D 761: 758: 757: 754: 751: 748: 747: 744: 741: 731: 728: 727: 712: 707: 701: 699: 696: 694: 691: 688: 687: 683: 680: 677: 674: 671: 669: 668: 666: 643: 631: 627: 607: 606:Canon EOS 40D 603: 591: 590:captured with 587: 580:Canon EOS 40D 576:captured with 563: 559: 547: 543: 519: 515: 503: 499: 475: 471: 459: 455: 430: 423: 410: 402: 395: 380: 368: 364: 327: 323: 320: 301: 294: 280:CC BY-SA 4.0 269: 265: 262: 259: 256: 255: 253: 248: 245: 242: 239: 238: 236: 235: 231: 228: 211: 187: 184: 180: 174: 170: 160: 155: 150: 145: 138: 119: 112: 111: 106: 102: 95: 94: 88: 79: 78:Original file 70: 66: 62: 58: 54: 50: 44: 39: 33: 30: 28: 25: 23: 20: 18: 15: 919:4 APEX (f/4) 810:focal length 759:Camera model 742: 739: 664: 661:File history 263: 257: 246: 240: 148: 118:You can help 108: 76: 22:File history 1084:IIM version 977:Color space 927:0.45 meters 819:Orientation 730:Penny graph 645:17 May 2018 474:copyrighted 448:copyrighted 264:share alike 258:attribution 154:penny graph 140:Description 1047:1120713332 721:File usage 678:Dimensions 382:some value 84:image/jpeg 27:File usage 1052:Lens used 790:ISO speed 704:(1.26 MB) 675:Thumbnail 672:Date/Time 630:inception 620:inception 195:Licensing 149:English: 1039:Standard 893:5.643856 780:F-number 736:Metadata 302:Captions 247:to remix 241:to share 232:license. 176:Own work 32:Metadata 937:Pattern 872:version 838:324 dpi 830:324 dpi 689:current 684:Comment 367:creator 337:creator 326:depicts 306:English 132:Summary 80:‎ 1087:52,090 1005:inches 822:Normal 792:rating 182:Author 172:Source 943:Flash 814:40 mm 808:Lens 753:Canon 981:sRGB 875:2.21 870:Exif 681:User 289:true 286:true 162:Date 17:File 795:400 784:f/8 394:URL 341:URL 971:01 963:01 955:01 425:: 412:: 397:: 67:| 63:| 59:| 55:| 51:| 45:. 1063:0 911:0 901:6 120:. 86:) 71:.

Index

File
File history
File usage
Metadata
File:Triangle-free penny graph.jpg
600 × 600 pixels
240 × 240 pixels
480 × 480 pixels
768 × 768 pixels
1,024 × 1,024 pixels
2,048 × 2,048 pixels
2,592 × 2,592 pixels
Original file
Wikimedia Commons
description page there
You can help
penny graph
David Eppstein
Creative Commons
Attribution-Share Alike 4.0 International
same or compatible license
depicts
creator<\/a>"}},"text\/plain":{"en":{"":"creator"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":2699,\"id\":\"P2699\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"URL<\/a>"}},"text\/plain":{"en":{"":"URL"}}},"{\"value\":\"https:\\\/\\\/commons.wikimedia.org\\\/wiki\\\/user:David_Eppstein\",\"type\":\"string\"}":{"text\/html":{"en":{"P2699":"https:\/\/commons.wikimedia.org\/wiki\/user:David_Eppstein<\/a>"}},"text\/plain":{"en":{"P2699":"https:\/\/commons.wikimedia.org\/wiki\/user:David_Eppstein"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":2093,\"id\":\"P2093\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"author name string<\/a>"}},"text\/plain":{"en":{"":"author name string"}}},"{\"value\":\"David Eppstein\",\"type\":\"string\"}":{"text\/html":{"en":{"P2093":"David Eppstein","P4174":"David Eppstein<\/a>"}},"text\/plain":{"en":{"P2093":"David Eppstein","P4174":"David Eppstein"}}},"{\"value\":{\"entity-type\":\"property\",\"numeric-id\":4174,\"id\":\"P4174\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"":"Wikimedia username<\/a>"}},"text\/plain":{"en":{"":"Wikimedia username"}}}}">

creator
URL
https://commons.wikimedia.org/user:David_Eppstein
author name string
Wikimedia username
David Eppstein
copyright status<\/a>"}},"text\/plain":{"en":{"":"copyright status"}}},"{\"value\":{\"entity-type\":\"item\",\"numeric-id\":50423863,\"id\":\"Q50423863\"},\"type\":\"wikibase-entityid\"}":{"text\/html":{"en":{"P6216":"copyrighted<\/a>"}},"text\/plain":{"en":{"P6216":"copyrighted"}}}}">

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