瀛﹁€呮潕涓栨槬 鍙戣〃浜? 2010-1-17 6:15:57
鍒嗙被锛氬師瀛愬潗鏍囧拰鐐圭兢鎿嶄綔鈹?a href="#t1" style="color:Blue">鏌ョ湅璇勮锛? 鈹? 娴忚锛?72       鎺ㄨ崘缁欐湅鍙?/span>

400骞达細寮€鏅嫆鐚滄兂銆佹暟瀛﹀爢鍨涘拰淇℃伅绾犻敊鐮?/span>

鎼炴潗鏂欑殑浜猴紝閮界煡閬撳師瀛愬爢鍨涙垚闈㈠績绔嬫柟鍜屽瘑鎺掑叚鏂圭殑鑷村瘑搴︽槸0.74锛屼絾鏄緢灏戞湁浜虹煡閬撶悆鍫嗗灈鏄釜鍙ゅ吀鐨勬暟瀛﹂棶棰樸€?/span>

绉戝闇€瑕佺偣绾㈡潖鍑哄銆?/span>

鎼炴潗鏂欑殑浜猴紝鍙叧娉ㄧ幇瀹為棶棰橈紙0缁淬€佷竴缁淬€佷簩缁村拰涓夌淮锛夛紝鎬绘槸浣庡ご璧拌矾锛屽緢灏戞姮澶翠话鏈涘ぉ绌恒€?/span>

鎼炴暟瀛︾殑浜猴紝浠栦滑涓嶄絾鐢熸椿鍦ㄧ幇瀹炵殑涓夌淮绌洪棿锛屼篃鐢熸椿鍦ㄦ娊璞＄┖闂达紙渚嬪24缁存垨鏇撮珮缁寸┖闂达級锛岃憲鍚嶇殑24缁寸┖闂村爢鍨涘氨鏄粠寮€鏅嫆鍫嗗灈姗樺瓙鍙戝睍璧锋潵鐨勩€?/span>

铏界劧鎴戜滑閫犱笉鍑哄洓缁达紙鎴栬€呮洿楂樼淮锛夋潗鏂欙紝浣嗘槸鎴戜滑鐨勫ぇ鑴戝嵈鍙互宸ヤ綔鍦ㄩ珮缁寸┖闂达紝甯姪鎴戜滑瑙ｅ喅涓€浜涘湪浜洪棿锛堜笁缁寸┖闂达級鏃犳硶瑙ｅ喅鐨勯棶棰樸€?/span>

寮€鏅嫆涓嶆劎鏄悶澶╂枃鐨勶紝浠呬粎鏍规嵁瑙傚療姘存灉搴楀爢鍨涙瀛愶紝涓烘暟瀛︾晫鎻愬嚭涓€涓鏂椾簡400骞寸殑闂銆?/span>

鐜板湪锛屾暟瀛﹀涓嶄絾瑙ｅ喅浜嗗紑鏅嫆鐚滄兂锛岃€屼笖杩樺彂灞曚簡24缁寸┖闂村爢鍨涚悊璁猴紝涓烘暟瀛椾俊鍙风殑瀹夊叏浼犳挱锛堢籂閿欑爜锛夊瀹氫簡鐞嗚鍩虹銆?/span>

瀵逛簬鍩虹鐮旂┒锛屾€ュ姛杩戝埄鑰呮€绘槸鍙戦棶锛?/span>

浣犻偅涓滆タ鏈変粈涔堢敤鍛紵

鐜板湪涓嶆槸淇℃伅绀句細鍚楋紵

淇℃伅鍌ㄥ瓨鍜屽帇缂╀紶鎾殑鏍稿績鍘熺悊锛屽氨鏉ユ簮浜?ldquo;鍌讳箮涔?rdquo;鐨勫嚑涓暟瀛﹀鍦ㄩ珮缁寸┖闂村爢鍨涚Н鏈ㄧ悆鐨勬暟瀛︽父鎴忋€?/span>

1948骞达紝Shannon 鍙戣〃鍏充簬淇℃伅鐞嗚鐨勯噷绋嬬鏂囩珷鏃讹紝鎶婃暟瀛楅€氳鐨勬牳蹇冮棶棰樹箣涓€褰掔撼涓?ldquo;濡備綍鐢ㄧ悆濉厖涓€涓?span lang="EN">N缁寸┖闂?rdquo;銆?span lang="EN">

鍜屽～鍏呬笁缁寸┖闂寸被浼硷紝鎻忚堪濉厖N缁寸┖闂翠篃鏈変袱涓熀鏈弬鏁帮細濉厖瀵嗗害鍜岄厤浣嶆暟锛?/span>kissing number锛夈€?span lang="EN">

1900骞达紝Gosset灏卞凡缁忕爺绌朵簡8缁寸偣闃碉紝鍗?E₈ 鐐归樀锛屼篃琚О涓?/span>Gosset鐐归樀銆?/span>

鐢辨鍙锛屾暟瀛﹀鎬绘槸璧板湪鍓嶉潰銆?span lang="EN">

    1965骞达紝Leech鐮旂┒浜?span lang="EN">24缁寸偣闃点€?/span>

鍙や汉鐜╁爢鍨涳紙鐩稿悓鍦嗙悆锛夌Н鏈ㄦ父鎴忕殑鏃跺€欙紝鎬绘兂鍦ㄦ湁闄愮殑绌洪棿涓～鍏呮渶澶氱殑鐞冿紝鍗冲浣曞爢鍨涙墠鑳藉疄鐜板～鍏呭瘑搴︽渶澶э紵

1611骞达紝寰峰浗澶╂枃瀛﹀寮€鏅嫆锛?/span>Johannes Kepler锛夌粰鍑轰簡涓€涓寽鎯冲瀷鐨勭瓟妗堬細

娌℃湁浠€涔堝爢鍨涙ā寮忔瘮FCC鍫嗗灈鐨勫瘑搴︽洿澶э紝寮€鏅嫆缁欏嚭鐨?/span>FCC鍫嗗灈瀵嗗害鏄?/span>0.7405銆?/span>

杩欏氨鏄憲鍚嶇殑寮€鏅嫆鐚滄兂锛?/span>Kepler's Conjecture锛夛紝鐩村埌澶х害400骞村悗鐨?/span>1998骞达紝鎵嶈缇庡浗鏁板瀹?/span>Thomas Hales缁欏嚭浜嗘纭殑璇佹槑銆傚紑鏅嫆鐚滄兂涔熻甯屽皵浼壒鏀跺叆鍒?/span>23涓暟瀛﹂棶棰橈紙绗?/span>18棰樼殑閮ㄥ垎鍐呭锛夈€?/span>

1850骞达紝鏅朵綋瀛﹀Bravais褰掔撼鍑轰簡14绉嶆櫠浣撳鐐归樀锛屽叾涓寘鎷?/span>FCC鍜?/span>HCP涓ょ鐐归樀锛屽叾鍫嗗灈瀵嗗害閮芥槸0.74銆?/span>

鏇村噯纭殑鍊兼槸π/(3srq(2))≈0.7404804770618256407353373605801銆?/span>

浣嗘槸锛屾暟瀛︾偣闃靛拰鏅朵綋鐐归樀涓嶆槸涓€鍥炰簨銆?/span>

渚嬪锛屾暟瀛︽壙璁?/span>FCC鍫嗗灈鏄竴绉嶇偣闃碉紝鑰?/span>HCP鍫嗗灈灏变笉鏄竴绉嶆暟瀛︾偣闃点€?/span>

鍐涢槦鍫嗗灈鐐脊锛岀収鐗囨潵鑷?/span>NATURE|VOL 425 | 11 SEPTEMBER 2003

铏界劧鎴戜滑鐭ラ亾锛屽湪3缁寸┖闂达紝鍦ㄦ墍鏈夌殑鍫嗗灈妯″紡涓紝鏈€澶х殑鍫嗗灈瀵嗗害鏄?/span>0.74銆?/span>

濡備綍鐢ㄦ暟瀛﹁瘉鏄庤繖涓粨璁猴紝鍗存槸涓?/span>400骞寸殑鑰侀棶棰樸€?/span>

Thomas Hales鐢ㄤ簡6骞寸殑鏃堕棿锛岀粓浜庣粰鍑轰簡姝ｇ‘鐨勮瘉鏄庯紝6绡囩郴鍒楁枃绔犲彂琛ㄥ湪Discrete & Computational Geometry锛?/span>2绡囦簬1997骞村彂琛紝4绡囦簬2006骞村彂琛紝6骞达紜9骞达紳15骞淬€傛枃绔犵殑棰樼洰寰堢畝鍗曪細Sphere Packings銆?/span>

Discrete Comput Geom 17:1-51 (1997)锛岀瘒骞?/span>51椤碉紱

Discrete Comput Geom 18:135–149 (1997)锛岀瘒骞?/span>15椤碉紱

Discrete Comput Geom 36:71–110 (2006)锛?/span>绡囧箙40椤碉紱

Discrete Comput Geom 36:111–166 (2006)锛?/span>绡囧箙56椤碉紱

Discrete Comput Geom 36:167–204 (2006)锛?/span>绡囧箙38椤碉紱

Discrete Comput Geom 36:205–265 (2006锛?/span>绡囧箙61椤点€?/span>

浠ヤ笂6绡囨枃绔犵殑浣滆€呮暟鐩紝鍙湁Thomas Hales鑷繁1浜恒€?/span>

鐢辨鍙锛屾悶绉戝涓嶆槸澶х偧閽㈤搧锛岀爺绌剁瀛﹂棶棰橈紝浜鸿秺灏戣秺濂姐€傝€屽ぇ鐐奸挗閾佸嵈鏄汉瓒婂瓒婄孩鐏€?/span>

鍏充簬寮€鏅嫆鐚滄兂鐮旂┒鐨勮〃鏄庯細

鍘熷垱鎬х殑绉戝鐮旂┒鏄棤娉曡繘琛岃鍒掔殑銆?/span>

鍦?/span>Shannon 鍒涚珛淇℃伅璁轰箣鍓嶏紝璋佷篃涓嶇煡閬撻珮缁村爢鍨涚悊璁哄氨鏄俊鎭€氳鐞嗚鐨勬牳蹇冨唴瀹逛箣涓€銆?/span>

鏈夋澘鏈夌溂鐨勭鐮旇鍒掗兘鏄湀瀛愰噷鐨勪汉鏈夌粍缁囨湁绾查鍦版妸绉戠爺缁忚垂鎻愬墠鐡滃垎浜嗐€?/span>

鍦ㄤ俊鎭璇炵敓涔嬪墠锛岃皝涔熶笉鐭ラ亾鏁板瀹跺湪杩滅鎴戜滑鐢熸椿鐨勪笁缁寸┖闂达紝鍦ㄩ珮缁寸┖闂寸帺鍫嗗灈姗樺瓙鐨勬父鎴忔湁浠€涔堥噸澶х瀛︽剰涔夊拰绀句細鎰忎箟锛?/span>