"an order-4 associated pan-3,5-agonal 5-dimensional magic hypercube" "dimension",5,"order",4 Plane,"(1,1,1)",,,,Plane,"(1,1,2)",,,,Plane,"(1,1,3)",,,,Plane,"(1,1,4)",, 1,503,574,972,,863,662,356,169,,190,332,641,887,,996,553,479,22 732,785,231,302,,441,79,902,628,,615,942,92,401,,262,244,825,719 318,204,769,759,,612,937,95,406,,385,119,958,588,,735,790,228,297 999,558,476,17,,134,372,697,847,,860,657,359,174,,57,463,518,1012 Plane,"(1,2,1)",,,,Plane,"(1,2,2)",,,,Plane,"(1,2,3)",,,,Plane,"(1,2,4)",, 936,621,411,82,,197,307,762,784,,795,722,296,237,,122,400,581,947 322,184,893,651,,544,981,35,490,,509,11,962,568,,675,874,160,341 667,850,168,365,,506,16,965,563,,552,1005,27,466,,325,179,890,656 125,395,578,952,,803,746,288,213,,194,312,765,779,,928,597,419,106 Plane,"(1,3,1)",,,,Plane,"(1,3,2)",,,,Plane,"(1,3,3)",,,,Plane,"(1,3,4)",, 126,396,577,951,,804,745,287,214,,193,311,766,780,,927,598,420,105 679,878,156,337,,454,52,1017,527,,540,977,39,494,,377,143,838,692 321,183,894,652,,543,982,36,489,,510,12,961,567,,676,873,159,342 924,593,423,110,,249,271,710,820,,807,750,284,209,,70,436,633,911 Plane,"(1,4,1)",,,,Plane,"(1,4,2)",,,,Plane,"(1,4,3)",,,,Plane,"(1,4,4)",, 987,530,488,45,,186,336,645,883,,872,685,347,146,,5,499,570,976 317,203,770,760,,611,938,96,405,,386,120,957,587,,736,789,227,298 744,813,219,274,,389,115,954,592,,603,914,104,429,,314,208,773,755 2,504,573,971,,864,661,355,170,,189,331,642,888,,995,554,480,21 Plane,"(2,1,1)",,,,Plane,"(2,1,2)",,,,Plane,"(2,1,3)",,,,Plane,"(2,1,4)",, 983,542,492,33,,182,324,649,895,,876,673,343,158,,9,511,566,964 305,199,782,764,,623,934,84,409,,398,124,945,583,,724,793,239,294 748,801,215,286,,393,127,950,580,,599,926,108,417,,310,196,777,767 14,508,561,967,,852,665,367,166,,177,327,654,892,,1007,550,468,25 Plane,"(2,2,1)",,,,Plane,"(2,2,2)",,,,Plane,"(2,2,3)",,,,Plane,"(2,2,4)",, 77,443,626,904,,787,730,304,229,,242,264,717,827,,944,613,403,90 664,861,171,354,,501,3,970,576,,555,994,24,477,,330,192,885,643 370,136,845,699,,560,997,19,474,,461,59,1010,520,,659,858,176,357 939,610,408,93,,202,320,757,771,,792,733,299,226,,117,387,586,960 Plane,"(2,3,1)",,,,Plane,"(2,3,2)",,,,Plane,"(2,3,3)",,,,Plane,"(2,3,4)",, 940,609,407,94,,201,319,758,772,,791,734,300,225,,118,388,585,959 334,188,881,647,,532,985,47,486,,497,7,974,572,,687,870,148,345 663,862,172,353,,502,4,969,575,,556,993,23,478,,329,191,886,644 113,391,590,956,,815,742,276,217,,206,316,753,775,,916,601,431,102 Plane,"(2,4,1)",,,,Plane,"(2,4,2)",,,,Plane,"(2,4,3)",,,,Plane,"(2,4,4)",, 50,456,525,1019,,880,677,339,154,,141,379,690,840,,979,538,496,37 747,802,216,285,,394,128,949,579,,600,925,107,418,,309,195,778,768 269,251,818,712,,595,922,112,421,,434,72,909,635,,752,805,211,282 984,541,491,34,,181,323,650,896,,875,674,344,157,,10,512,565,963 Plane,"(3,1,1)",,,,Plane,"(3,1,2)",,,,Plane,"(3,1,3)",,,,Plane,"(3,1,4)",, 62,460,513,1015,,868,681,351,150,,129,375,702,844,,991,534,484,41 743,814,220,273,,390,116,953,591,,604,913,103,430,,313,207,774,756 257,247,830,716,,607,918,100,425,,446,76,897,631,,740,809,223,278 988,529,487,46,,185,335,646,884,,871,686,348,145,,6,500,569,975 Plane,"(3,2,1)",,,,Plane,"(3,2,2)",,,,Plane,"(3,2,3)",,,,Plane,"(3,2,4)",, 923,594,424,109,,250,272,709,819,,808,749,283,210,,69,435,634,912 381,139,834,696,,547,1002,32,469,,450,56,1021,523,,672,853,163,362 680,877,155,338,,453,51,1018,528,,539,978,40,493,,378,144,837,691 66,440,637,907,,800,725,291,234,,253,267,706,824,,931,618,416,85 Plane,"(3,3,1)",,,,Plane,"(3,3,2)",,,,Plane,"(3,3,3)",,,,Plane,"(3,3,4)",, 65,439,638,908,,799,726,292,233,,254,268,705,823,,932,617,415,86 668,849,167,366,,505,15,966,564,,551,1006,28,465,,326,180,889,655 382,140,833,695,,548,1001,31,470,,449,55,1022,524,,671,854,164,361 935,622,412,81,,198,308,761,783,,796,721,295,238,,121,399,582,948 Plane,"(3,4,1)",,,,Plane,"(3,4,2)",,,,Plane,"(3,4,3)",,,,Plane,"(3,4,4)",, 1000,557,475,18,,133,371,698,848,,859,658,360,173,,58,464,517,1011 258,248,829,715,,608,917,99,426,,445,75,898,632,,739,810,224,277 731,786,232,301,,442,80,901,627,,616,941,91,402,,261,243,826,720 61,459,514,1016,,867,682,352,149,,130,376,701,843,,992,533,483,42 Plane,"(4,1,1)",,,,Plane,"(4,1,2)",,,,Plane,"(4,1,3)",,,,Plane,"(4,1,4)",, 1004,545,471,30,,137,383,694,836,,855,670,364,161,,54,452,521,1023 270,252,817,711,,596,921,111,422,,433,71,910,636,,751,806,212,281 727,798,236,289,,438,68,905,639,,620,929,87,414,,265,255,822,708 49,455,526,1020,,879,678,340,153,,142,380,689,839,,980,537,495,38 Plane,"(4,2,1)",,,,Plane,"(4,2,2)",,,,Plane,"(4,2,3)",,,,Plane,"(4,2,4)",, 114,392,589,955,,816,741,275,218,,205,315,754,776,,915,602,432,101 683,866,152,349,,458,64,1013,515,,536,989,43,482,,373,131,842,704 333,187,882,648,,531,986,48,485,,498,8,973,571,,688,869,147,346 920,605,427,98,,245,259,714,832,,811,738,280,221,,74,448,629,899 Plane,"(4,3,1)",,,,Plane,"(4,3,2)",,,,Plane,"(4,3,3)",,,,Plane,"(4,3,4)",, 919,606,428,97,,246,260,713,831,,812,737,279,222,,73,447,630,900 369,135,846,700,,559,998,20,473,,462,60,1009,519,,660,857,175,358 684,865,151,350,,457,63,1014,516,,535,990,44,481,,374,132,841,703 78,444,625,903,,788,729,303,230,,241,263,718,828,,943,614,404,89 Plane,"(4,4,1)",,,,Plane,"(4,4,2)",,,,Plane,"(4,4,3)",,,,Plane,"(4,4,4)",, 13,507,562,968,,851,666,368,165,,178,328,653,891,,1008,549,467,26 728,797,235,290,,437,67,906,640,,619,930,88,413,,266,256,821,707 306,200,781,763,,624,933,83,410,,397,123,946,584,,723,794,240,293 1003,546,472,29,,138,384,693,835,,856,669,363,162,,53,451,522,1024 order = 4, magic constant = 2050 normal: Yes 1-agonal : Yes 2-agonal : No 3-agonal : Yes 4-agonal : No 5-agonal : Yes pan-2-agonal : No pan-3-agonal : Yes pan-4-agonal : No pan-5-agonal : Yes associated : Yes complete : No 2D compact : No 5D compact : No knight tour : No