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