1.May 2007 Awani Kumar has constructed a (semi)magic 3-dimensional 8*8*8 knight's tour ! Consecutive numbers (including 1 and 512) are a 3d-knight's move apart. All the rows,columns,piles and 2 of the 4 space-diagonals add to 2052. Each of the 3 octal-digit-cubes is magic too. the 8 layers: 019,482,509,016,461,480,035,050 490,027,008,501,036,049,462,479 511,014,017,484,465,452,063,046 006,503,492,025,064,045,466,451 117,100,411,398,429,448,067,082 410,399,120,097,068,081,430,447 387,118,109,412,433,420,095,078 112,409,386,119,096,077,434,419 510,015,020,481,472,453,058,043 007,502,489,028,057,044,471,454 018,483,512,013,460,473,038,055 491,026,005,504,037,056,459,474 414,395,116,101,440,421,090,075 113,104,415,394,089,076,439,422 108,413,390,115,428,441,070,087 391,114,105,416,069,088,427,442 495,030,001,500,033,052,463,478 022,487,508,009,464,477,034,051 003,498,493,032,061,048,467,450 506,011,024,485,468,449,062,047 099,406,397,124,065,084,431,446 400,121,098,407,432,445,066,083 405,388,123,110,093,080,435,418 122,111,408,385,436,417,094,079 002,499,496,029,060,041,470,455 507,010,021,488,469,456,059,042 494,031,004,497,040,053,458,475 023,486,505,012,457,476,039,054 396,125,102,403,092,073,438,423 103,402,393,128,437,424,091,074 126,107,404,389,072,085,426,443 401,392,127,106,425,444,071,086 231,252,285,258,219,296,197,314 286,257,232,251,294,201,316,215 249,230,259,288,311,220,297,198 260,287,250,229,202,309,216,299 145,136,383,362,165,334,339,188 382,363,148,133,340,187,326,173 359,146,137,384,331,164,189,342 140,381,358,147,190,341,172,323 276,271,234,245,306,221,304,195 233,246,275,272,207,308,209,302 270,273,248,235,222,289,196,319 247,236,269,274,291,208,317,210 378,367,152,129,330,161,192,343 149,132,379,366,191,344,169,322 144,377,354,151,168,335,338,185 355,150,141,380,337,186,327,176 253,226,263,284,295,204,313,214 264,283,254,225,218,293,200,315 227,256,281,262,203,312,213,298 282,261,228,255,310,217,300,199 135,370,361,160,179,348,325,174 364,157,134,371,166,333,180,347 369,360,159,138,349,182,171,324 158,139,372,357,332,163,350,181 266,277,244,239,206,305,212,303 243,240,265,278,307,224,301,194 280,267,238,241,290,205,320,211 237,242,279,268,223,292,193,318 368,153,130,375,352,183,170,321 131,374,365,156,329,162,351,184 154,143,376,353,178,345,328,175 373,356,155,142,167,336,177,346 and here with octal digits 000...777 : 022,741,774,017,714,737,042,061 751,032,007,764,043,060,715,736 776,015,020,743,720,703,076,055 005,766,753,030,077,054,721,702 164,143,632,615,654,677,102,121 631,616,167,140,103,120,655,676 602,165,154,633,660,643,136,115 157,630,601,166,137,114,661,642 775,016,023,740,727,704,071,052 006,765,750,033,070,053,726,705 021,742,777,014,713,730,045,066 752,031,004,767,044,067,712,731 635,612,163,144,667,644,131,112 160,147,636,611,130,113,666,645 153,634,605,162,653,670,105,126 606,161,150,637,104,127,652,671 756,035,000,763,040,063,716,735 025,746,773,010,717,734,041,062 002,761,754,037,074,057,722,701 771,012,027,744,723,700,075,056 142,625,614,173,100,123,656,675 617,170,141,626,657,674,101,122 624,603,172,155,134,117,662,641 171,156,627,600,663,640,135,116 001,762,757,034,073,050,725,706 772,011,024,747,724,707,072,051 755,036,003,760,047,064,711,732 026,745,770,013,710,733,046,065 613,174,145,622,133,110,665,646 146,621,610,177,664,647,132,111 175,152,623,604,107,124,651,672 620,607,176,151,650,673,106,125 346,373,434,401,332,447,304,471 435,400,347,372,445,310,473,326 370,345,402,437,466,333,450,305 403,436,371,344,311,464,327,452 220,207,576,551,244,515,522,273 575,552,223,204,523,272,505,254 546,221,210,577,512,243,274,525 213,574,545,222,275,524,253,502 423,416,351,364,461,334,457,302 350,365,422,417,316,463,320,455 415,420,367,352,335,440,303,476 366,353,414,421,442,317,474,321 571,556,227,200,511,240,277,526 224,203,572,555,276,527,250,501 217,570,541,226,247,516,521,270 542,225,214,573,520,271,506,257 374,341,406,433,446,313,470,325 407,432,375,340,331,444,307,472 342,377,430,405,312,467,324,451 431,404,343,376,465,330,453,306 206,561,550,237,262,533,504,255 553,234,205,562,245,514,263,532 560,547,236,211,534,265,252,503 235,212,563,544,513,242,535,264 411,424,363,356,315,460,323,456 362,357,410,425,462,337,454,301 427,412,355,360,441,314,477,322 354,361,426,413,336,443,300,475 557,230,201,566,537,266,251,500 202,565,554,233,510,241,536,267 231,216,567,540,261,530,507,256 564,543,232,215,246,517,260,531