The Most Beautiful Bridge
in Paris
P aris,France–the“city of lights”is also a city of bridges. Straddling the Seine River,the French capital is connected above ground by37bridges(in French–ponts),including5 pedestrian spans(passerelles).A bridge across the Seine is documented from Roman times,and bridges today represent construction from the16th to the20th centuries.
This exhibit shows all French stamp and postal stationery designs that include images of Parisian bridges.It focuses on the late19th century French and Russian friendship that led to the construction of the most beautiful bridge in Paris–the Pont Alexandre III.
Fine designs and printing of French postal issues permit identification of individual Parisian bridges.Only the 100franc 1949air mail stamp,highlighted in this exhibit,features a detailed image of the Pont Alexandre III,an architectural and artistic masterpiece of the end of the nineteenth
century.
This presentation is a PowerPoint slide show,and the right cursor key allows the viewer to progress through the exhibit.The left cursor key allows the viewer to remove overlapping images and text so that each philatelic piece may be viewed individually.
Exhibit Plan
Introduction 1Parisian Bridges on French stamps and stationery 3Franco-Russian
friendship 12Pont Alexandre III 15
Pont Alexandre III , postcard ca. 1920
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Illustrated Postal Card -1935
Pont au
Change
Illegal cut-
out used
with stamp
for the
1 franc
postcard
rate.
1936 Airmails
The1936airmail design,“Airplane
over Paris,”shows many identifiable
monuments,but only one Seine River
bridge.The bridge’s five low arches
suggest the Pont d’Iéna and a view
looking toward the northeast..
Pont d’Iéna
The same design as the airmail
series above was repeated at a
smaller size as the vignette for
the high denomination airmail
stamp also issued in1936.
1947 –the UPU issue
Pont Neuf
Four regular postage stamps, two showing bridges, and a large format airmail stamp were issued in 1947 to commemorate the 12th Universal Postal Union Congress held in Paris.
Pont au Change
Pont au Change
Pont Saint Michel
Pont Neuf
Pont Notre Dame
Pont Louis-Philippe
1947 –UPU Panorama Design
The design of the 500 UPU airmail, attributed to Henri Gandon, is nearly identical to the design by René Cottet of the postcard and cinderella issued in 1943 for the Paris Philatelic Exposition. The cloud pattern is different, as are the plane and bird.
High denomination definitive air mail stamps were issued in 1949-1950 showing aerial views of major French cities.
Engraved proof of the essay of an unadopted design by Albert Decaris
Enlarged image of the essay shown on page 7, the unadopted design by Decaris featuring 12 identifiable Paris bridges.
Pont de la Concorde Pont Royal Pont du Carrousel Passerelle des Art Pont Neuf Pont Saint-Michel Petit Pont Pont au Double
Pont Neuf Pont au Change Pont Notre-Dame Pont
d’Arcole
Essay of another unadopted design by Albert Decaris depicting a nearly overhead view of the ?le de la Citéwith 12 identifiable bridges.
Pont de la Tournelle Pont de ArchevêchéPont au Double Petit-Pont
Pont Saint-Michel Pont-Neuf
Pont Louis-Philippe Pont Saint-Louis
Pont d’Arcole Pont Notre-Dame Pont au Change
Pont-Neuf
The adopted design by Albert Decaris shows ten identifiable Paris bridges. The distinctive single span of the Pont Alexandre III is at the top. An unidentified bridge with three piers appears near the top. The three-arched Pont au Change is missing.
Pont Alexandre III
Pont de la Concorde
?
Pont Royal
Pont du Carousel
Passerelle des Arts
Pont-Neuf
(Pont au Change)
Pont Notre-Dame
Pont d’Arcole
Pont Louis-Philippe
Pont Marie
View looking west
Recent Bridge Stamps
Only three more recent stamps have featured Paris bridges.
Pont Neuf (1978), built in 1578, is the oldest
Passerelle des Arts (2005) with Passerelle des Arts (1978), built in 1804, rebuilt in 1984
French-Russian Friendship The Pont Alexandre III is tangible evidence of French-Russian friendship
in the late 19th century.
Diplomatic relations
between France and
Russia were especially
good in the 1890’s.
A formal military alli-
ance was signed in
1892. Navy squadrons
visited each other’s
ports in 1891 and 1893.
France issued a postal
card featuring Czar
Alexander III to comme-
morate the visit to
Toulon by the Russian
naval squadron in 1893.
Death of Alexander III
The unexpected death
of Czar Alexander III,
1 November 1894 was
commemorated in
France by a mourning
postal envelope that
showed the date and
place of his death.
Privately produced mourning
post card with pictures and the
death dates of Czar Alexander
III and the assassinated French
President Sadi Carnot.
Czar’s visit to Paris -1896 Czar Nicholas and Czarina Alexandra paid a state
visit to Paris on 6-8 October 1896, reaffirming
friendly relations and to honor the czar’s late father.
Printed to private order commemorative postal card
Laying the cornerstone for the Pont Alexandre III,
7 October 1896
Construction of the Pont Alexandre III Construction lasted three years, and the distinctive 109 meter single span was designed by four architects and decorated by the works of 13 sculptors.
1895 map of Paris
showing future
location of the
Pont Alexandre III
This engineering and artistic marvel, completed in 1900,
was not recognized in a stamp image until 1949.
Inauguration -1900
The Pont Alexandre III was inaugurated at the Exposition Universelle in 1900 and has been a major Paris landmark for more than a century.
Commemorative post card from
the exposition showing the Pont
Alexandre III, with the imprinted
image of the Russian pavilion
and Czar Nicholas II
Stereo photo of the
inauguration of the
Pont Alexandre III at
the Paris exposition
Almost 50 years after its completion, the Pont Alexandre III appeared on an airmail stamp issued in 1949 to commemorate
the International Telecommunications Conference (C.I.T.T.). Designed and engraved by Pierre
Gandon, the stamp shows a view of
the north end of the bridge with the
Petite Palais in the background.
No plating varieties or errors are
reported for this stamp, which exists
perforated and imperforate.
Pre-and post-production proofs are
shown on pages 19-22.
The 100 franc airmail stamp was issued in panes of 25 stamps.
Panes contained printing press numbers in the selvage, but did not have the printing dates (coin dates), which were used only with definitive issues.
The total printing was 1,625,000 stamps.
Artist’s Proof
The artist’s proof in black is a pre-production proof.
Trial Color Proof
The trial color proof in blue is a pre-production proof,
CFOP (精选顺手公式,多用对称,减少公式记忆量) 步骤介绍 CFOP法共分四步: (1)在底层架好十字(CROSS) (2)完成前两层(F2L) (3)顶面颜色统一(OLL) (4)完成顶层(PLL) 字母介绍 F,B,L,R,U,D分别代表魔方的前,后,左,右,上,下六个面(与颜色无关,只表示位置) 即:英文的Front, Behind, Left, Right, Up, Down。 拧法介绍 一个字母代表顺时针转90度,字母加“' ”表示逆时针转90度,加“2”表示转180度 单层转:F、B、L、R、U、D,F'、B'、L'、R'、U'、D',F2、B2、L2、R2、U2、D2 两层转(单层转的同时中间层一起转):f、b、l、r、u、d,f '、b'、l'、r'、u'、d',f2、b2、l2、r2、u2、d2 整体转(三层转):x、y、z,x'、y'、z',x2、y2、z2【方向对应为x-R,y-U,z-F】 转中层:M、M'、M2 (M的方向同R) F B r y' M 注:顺、逆指面对该面看时的转向,故对于B、B'、L、L'、D、D'的转向要特别小心。 第一步、底层架十字(CROSS) 这一步较简单,自己领悟。 4个棱块复位后是这样的 不要是这样
第二步、完成前两层(F2L) 共有41种情况 U'F'UF URU'R' URU'R' U'F'UF (RU2R'U)2 F'U'F (RUR'U')2 RUR' RU'R' F'U2F RBL U' L'B'R' F'L'B' U BLF RUR' U2RU'R'U' RUR' UF'U'FU' RUR' U'RU'R'U RUR' RU'2R'U' RUR' RUR'U'2 RUR'U' RUR' U' RUR'U' RUR' F'U'F U'2F'UFU F'U'F U'RUR'U F'U'F UF'UFU' F'U'F F'U2FU F'U'F F'U'FU2 F'U'FU F'U'F U F'U'FU F'U'F U' F'UF U'F'U2FU' F'UF U2F'U'FU' F'UF UF'U2FU2 F'UF UF'U'FU2 F'UF (F'UFU')2U' F'UF F'UFU' F'UF U F'UFU'2 F'UF U RU'R' URU'2R'U RU'R' U2RUR'U RU'R' U'RU'2R'U2 RU'R' U'RUR'U2 RU'R' (RU'R'U)2U RU'R' RU'R'U RU'R' U'RU' R'U2 RU'R' RUR'U'2 RU'R'U RUR' F'U'FU2 F'UFU' F'U'F RUR'U' RU'R'U2 F'U'F F'U'FU F'UFU'2 RUR' 蓝色为4种基本情况,首先掌握。 红色为2个特殊公式 每一行为一组(第一行除外),这一组每个公式最后的步骤与本行的第一个公式相同(分组原则)。 第2行与第3行上下对应的是对称的情况。 第4行与第5行上下对应的是对称的情况。 第6行与4、5行归为一类(装不下了…)。 注:这一步给出的公式中有部分并不是对应的情况的最 简公式,只是便于理解和顺手的公式。本步其实非常简 单,不要一看到有这么多公式就头疼。需要理解这些公 式的原理:让角块和棱块通过转动后组合到一起(右 图),然后把它们放到正确的位置。
魔方小站 CFOP 公式表 OLL 按小站 顺序分 组 (2014/8 /26更 新) 1-1 R’ U2 R U R’ U R 1-2 R U’ U’ R’ U’ R U’ R’ 1-3 (r U R’ U’) (r’ F R F’) 1-4 F’ (r U R’ U’) (r’ F R) 1-5 (R2 D’) (R U’ U’) (R’ D) (R U’ U’ R) 1-6 (R U U R’ U’) (R U R’ U’) (R U’ R’) 1-7 R U’ U’ (R2’ U’) (R2 U’) R2’ U2 R 2-1 F (R U R’ U’) F’ 2-2 f (R U R’ U’) f’ 2-3 B’ U’ (R’ U R B) 2-4 (R U R’ U’) (R’ F R F’) 2-5 F (RU R’ U’)2 F’ 2-6 F’ (L’ U’ L U)2 F 2-7 f (RU R’ U’)2 f’ 3-1 (F R U R’ U’ F’) (f R U R’ U’ f’) 3-2 (f R U R’ U’ f’) U’ (F R U R’ U’ 3-3 (f R U R’U’ f’) U (F R U R’ U’ 3-4 (R U’ U’) (R2’ F R F’) U2 (R’ F R 3-5 (r’ U2) (R U R’ U) r
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CFOP完整版公式大全
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魔方小站 CFOP 公式表 OLL 按小站顺序分组 (2014/8/26 更新 ) 1-1 R’ U2 R U R’ U R 1-2 R U’ U ’ R’ U’ R U’ R’ 1-3 (r U R’ U’) (r’ F R F’) 1-4 F’ (r U R’ U’) (r’ F R) 1-5 (R2 D’ ) ( R U’ U ’ ) ( R’ D ) ( R U’ U ’ R ) 1-6 (R U U R’ U’) (R U R’ U’) (R U’ R’) 1-7 R U’ U’ (R2’ U’) (R2 U’) R2’ U2 R 2-1 F (R U R’ U’) F’ 2-2 f (R U R’ U’) f’ 2-3 B’ U’ (R’ U R B) 2-4 (R U R’ U’) (R’ F R F’) 2-5 F (RU R’ U’)2 F’ 2-6 F’ (L’ U’ L U)2 F 2-7 f (RU R’ U’)2 f’ 3-1 (F R U R’ U’ F’) (f R U R’ U’ f’) 3-2 (f R U R’ U’ f’) U’ (F R U R’ U’ F’) 3-3 (f R U R’ U’ f’) U (F R U R’ U’ F’) 3-4 (R U’ U ’) (R2’ F R F’) U2 (R’ F R F’) 3-5 (r’ U2) (R U R’ U) r 3-6 (r U’ U’) (R’ U’ R U’ r’) 3-7 r U R’ U R U U r’ 3-8 r’ U’ R U’ R’ U2 r 4-1 F (R U’ R’ U’) (R U R’ F’) 4-2 R U’ U’ (R2’ F R F’)(R U’ U’ R’) 4-3 (R B’) (R2 F) (R2 B) (R2 F’) R 4-4 (R’ F) (R2 B’) (R2 F’) (R2 B) R’ 4-5 r ’ U2 (R U R’ U’) (R U R’ U) r 4-6 r U (R’ UR U’)2 U’ r’ 4-7 (R U R’ U) (R’ F R F’) U2 (R’ F R F’) 4-8 F (R U R’ U) y’ (R’ U2) (R’ F R F’) 4-9 (M 下 U) (R U R ’ U ’) M 上 (R ’ F R F ’) 5-1 (R U R’ U’) (R’ F) (R2U R’ U’) F’ 5-2 (R U R’ U) (R’ F R F’) (R U’ U ’ R’) 5-3 (r U R’ U’) (r’ R) (U R U’ R’) 5-4 (R U R’ U’) r R’ (U R U’ r’) 5-5 (R’ U’) (R’ F R F’) (U R) 5-6 (R U R’ U’) x D’ (R’ U R) E’ 5-7 (R U R’ U) (R U’ R’ U ’) (R’ F R F’) 5-8 (R’ U’ R U’) (R’ U R U) (l U’ R’ U) 5-9 (F R U R’ U’ F’) U (F R U R’ U’ F’) 5-10 (r U R’ U) (R’ F R F’) R U2 r’ 6-1 (R U) (B’ U’) (R’URB R’) 6-2 (R’ U’ F) (U R U’) (R’ F’ R) 6-3 R’ F (R U R’ U’) F’ (U R) 6-4 L F’ (L’ U’ L U) F (U’ L’) 6-5 (R U R’ U R U2 R’) (F R U R’ U’ F’) 6-6 (R’ U’ R U’ R’ U2 R) (F R U R’ U’ F’) 6-7 (r’ U2 R U R’ U r) (R U2 R’ U’ R U’ R’) 6-8 (r U2 R’ U’ R U’ r’) (R’ U2 R U R’ U R) 7-1 7-2 7-3 7-4 7-5 7-6 7-7 7-8 公式5-6里的E’的意 思是: 从上往下看时,顺时针如对标记有问题, 请到最后页去看标记说
按小 1-1 R’ U2 R U R’ U R 1-2 R U’ U’ R’ U’R U’ R’ 1-3 (r U R’ U’) (r’ F R F’) 1-4 F’ (r U R’ U’) (r’ F R) 1-5 (R2 D’) (R U’U’) (R’ D) (R U’U’ R) 1-6 (RUU R’U’) (R U R’ U’) (R U’ R’) 1-7 R U’U’ (R2’ U’) (R2 U’) R2’ U2 R 2-1 F (R U R’ U’) F’ 2-2 f (R U R’ U’) f’ 2-3 B’ U’ (R’ U R B) 2-4 (R U R’ U’) (R’ F R F’) 2-5 F (RU R’U’)2 F’ 2-6 F’ (L’ U’ L U)2 F 2-7 f (RU R’U’)2 f’ 3-1 (F R U R’ U’ F’) (f R U R’ U’f’) 3-2 (f R U R’ U’f’) U’ (F R U R’ U’F’) 3-3 (f R U R’U’f’) U (F R U R’ U’F’) 3-4 (R U’U’) (R2’ F R F’) U2 (R’ F R F’) 3-5 (r’ U2) (R U R’U) r 3-6 (r U’U’) (R’ U’ R U’ r’) 3-7 r U R’ U R UU r’ 3-8 r’ U’ R U’ R’ U2 r 4-1 F (R U’R’U’) (R U R’ F’) 4-2 R U’U’ (R2’ F R F’)(R U’U’R’) 4-3 (R B’) (R2 F) (R2 B) (R2 F’) R 4-4 (R’ F) (R2 B’) (R2 F’) (R2 B) R’ 4-5 r’ U2 (R U R’ U’) (R U R’ U) r 4-6 r U (R’ URU’)2 U’ r’ 4-7 (R U R’ U) (R’ F R F’) U2 (R’ F R F’) 4-8 F (R U R’ U) y’(R’ U2) (R’ F R F’) 4-9 (M下U) (R U R’ U’) M上 5-1 (R U R’ U’) (R’ F) (R2UR’ U’) 5-2 (RUR’U) (R’F R F’) 5-3 (r U R’ U’) (r’ R) (U R U’ R’) 5-4 (R U R’ U’) r R’ (U R U’ r’) 5-5 (R’ U’) (R’ F R F’) (U R) 5-6 (R U R’ U’) x D’ (R’ U R) 5-7 (R U R’U) (RU’R’U’) (R’F R F’) 5-8 (R’U’R U’) (R’U R U) (l U’R’U)
魔方小站CFOP 公式表OLL 按小站顺序分组 (2014/8/26 更新) 1-1 R’ U2 R U R’ U R 1-2 R U’ U’ R’ U’ R U’ R’ 1-3 (r U R’ U’) (r’ F R F’) 1-4 F’ (r U R’ U’) (r’ F R) 1-5 (R2 D’) (R U’U’) (R’ D) (R U’U’ R) 1-6 (R U U R’U’) (R U R’ U’) (R U’ R’) 1-7 R U’U’ (R2’ U’) (R2 U’) R2’ U2 R 2-1 F (R U R’ U’) F’ 2-2 f (R U R’ U’) f’ 2-3 B’ U’ (R’ U R B) 2-4 (R U R’ U’) (R’ F R F’) 2-5 F (RU R’ U’)2 F’ 2-6 F’ (L’ U’ L U)2 F 2-7 f (RU R’ U’)2 f’ 3-1 (F R U R’ U’ F’) (f R U R’ U’f’) 3-2 (f R U R’ U’f’) U’ (F R U R’ U’F’) 3-3 (f R U R’ U’f’) U (F R U R’ U’F’) 3-4 (R U’U’) (R2’ F R F’) U2 (R’ F R F’) 3-5 (r’ U2) (R U R’ U) r 3-6 (r U’U’) (R’ U’ R U’ r’) 3-7 r U R’ U R U U r’ 3-8 r’ U’ R U’ R’ U2 r 4-1 F (R U’R’ U’) (R U R’ F’) 4-2 R U’U’ (R2’ F R F’)(R U’ U’R’) 4-3 (R B’) (R2 F) (R2 B) (R2 F’) R 4-4 (R’ F) (R2 B’) (R2 F’) (R2 B) R’ 4-5 r’ U2 (R U R’ U’) (R U R’ U) r 4-6 r U (R’ UR U’)2 U’ r’ 4-7 (R U R’ U) (R’ F R F’) U2 (R’ F R F’) 4-8 F (R U R’ U) y’(R’ U2) (R’ F R F’) 4-9 (M 下 U) (R U R’ U’) M 上 (R’ F R F’) 5-1 (R U R’ U’) (R’ F) (R2U R’ U’) F’ 5-2 (R U R’ U) (R’ F R F’) (R U’U’ R’) 5-3 (r U R’ U’) (r’ R) (U R U’ R’) 5-4 (R U R’ U’) r R’ (U R U’ r’) 5-5 (R’ U’) (R’ F R F’) (U R) 5-6 (R U R’ U’) x D’ (R’ U R) E’ 5-7 (R U R’ U) (R U’R’ U’) (R’ F R F’) 5-8 (R’U’ R U’) (R’ U R U) (l U’R’ U)
C F O P完整版公式大全 91687
魔方小站CFOP 公式表 OLL 按小站顺序分组(2014/8/26 更新) 1-1 R’ U2 R U R’ U R 1-2 R U’ U’ R’ U’ R U’ R’ 1-3 (r U R’ U’) (r’ F R F’) 1-4 F’ (r U R’ U’) (r’ F R) 1-5 (R2 D’) (R U’ U’) (R’ D) (R U’ U’ R) 1-6 (R U U R’ U’) (R U R’ U’) (R U’ R’) 1-7 R U’ U’ (R2’ U’) (R2 U’) R2’ U2 R 2-1 F (R U R’ U’) F’ 2-2 f (R U R’ U’) f’ 2-3 B’ U’(R’ U R B) 2-4 (R U R’ U’) (R’ F R F’) 2-5 F (RU R’ U’)2 F’ 2-6 F’ (L’ U’ L U)2 F 2-7 f (RU R’ U’)2 f’ 3-1 (F R U R’ U’ F’) (f R U R’ U’ f’) 3-2 (f R U R’ U’ f’) U’ (F R U R’ U’ F’) 3-3 (f R U R’ U’ f’) U (F R U R’ U’ F’) 3-4 (R U’ U’) (R2’ F R F’) U2 (R’ F R F’) 3-5 (r’ U2) (R U R’ U) r 3-6 (r U’ U’) (R’ U’ R U’ r’) 3-7 r U R’ U R U U r’ 3-8 r’ U’ R U’ R’ U2 r 4-1 F (R U’ R’ U’) (R U R’ F’) 4-2 R U’ U’ (R2’ F R F’)(R U’ U’ R’) 4-3 (R B’) (R2 F) (R2 B) (R2 F’) R 4-4 (R’ F) (R2 B’) (R2 F’) (R2 B) R’ 4-5 r’ U2 (R U R’ U’) (R U R’ U) r 4-6 r U (R’ UR U’)2 U’ r’ 4-7 (R U R’ U) (R’ F R F’) U2 (R’ F R F’) 4-8 F (R U R’ U) y’ (R’ U2) (R’ F R F’) 4-9 (M下 U) (R U R’ U’) M上 (R’ F R F’) 5-1 (R U R’ U’) (R’ F) (R2U R’ U’) F’ 5-2 (R U R’ U) (R’ F R F’) (R U’ U’ R’) 5-3 (r U R’ U’) (r’ R) (U R U’ R’) 5-4 (R U R’ U’) r R’ (U R U’ r’) 5-5 (R’ U’) (R’ F R F’) (U R) 5-6 (R U R’ U’) x D’ (R’ U R) E’ 5-7 (R U R’ U) (R U’ R’ U’) (R’ F R F’) 5-8 (R’ U’ R U’) (R’ U R U) (l U’ R’ U) 5-9 (F R U R’U’ F’) U (F R U R’ U’ F’) 5-10 (r U R’ U) (R’ F R F’) R U2 r’ 6-1 (R U) (B’ U’) (R’URB R’) 6-2 (R’ U’ F) (U R U’) (R’ F’ R) 6-3 R’ F (R U R’ U’) F’ (U R) 6-4 L F’ (L’ U’ L U) F (U’ L’) 6-5 (R U R’ U R U2 R’) (F R U R’ U’ F’) 6-6 (R’ U’ R U’ R’ U2 R) (F R U R’ U’ F’) 6-7 (r’ U2 R U R’ U r) (R U2 R’ U’ R U’ R’) 6-8 (r U2 R’ U’ R U’ r’) (R’ U2 R U R’ U R) 7-1 (r U r’) (R U R’ U’) (r U’ r’) 7-2 (l’ U’ l) (L’ U’ L U) (l’ U l) 7-3 R’ F (R U R’ F’ R) y’ (R U’ R’) 7-4 F (U R U’) (R2’ F’) (R U R U’ R’) 7-5 (R’ U’ R U’) (R’ U) y’ (R’ U R B) 7-6 (r U r’) (UR U’ R’)2 (r U’ r’) 7-7 R’ F (U R U’) (R2’ F’) (R2 U R’ U’ R) 7-8 (r’ R U) (R U R’ U’) (r2 R2’) (U R U’ r’) 公式5-6里 的E’的意 思是: 从上往下看 时,顺时针 转水平的中 间层。国际 规定E和D 顺逆方向一 致。 如对标记有 问题, 请到最后页 去看标记说 明。
Gan OLL手法 123 f(R U R'45 (R U'U') (R2' F R F') U2 (R' F RF') (F R U R' U' F') (f R U R' U' f) U')f U' F(R U R' f(R U R' U')y x(R F)(R U R' (r' U2) (R U R'U) U')F' U')F' 11 rm r'(R2 U R' U)(R U'U' R' U) (r R') 12 U')(R' U' R)r' 22 6 ■[ □[ IO ■n □±1 7 (R' U' R U' r') U'U' r' 13 U')(r U r') (F' U F ) 14 R' F'R (F U; F') II O 15 (r' U' r) (R'U'R U) (r' U r) ■ 16 (r U r)' (R U R' U') (r U' r') 26 17 (R U R' U) (R' F R F'U2) R' F R F' 21 (R' U'in?n R U'U' R U R' U') (R U'_ R') (R'2 U') (R2 U') R'2 U' U'R 31 32 (R U)( B 23 (R' U2) (R F U') (R' U' R U F') (r' F UF) (L F' L' U' r) 33 (R' F R F') U')(R' U R B R') 41 R U y R UJ_ R' U' F' 51 imn □□□imn f (R U R' U')2 f □ 1■[■1 42 (r' R2)y (R U R' U') (R' U R')r 二 — 一□ □ □ R'U' R U' R' d R' U l U LI]l 1 43 (B U') (R' U R B) 53 I I I I (r' U2) (R U R'U') (R U R'U) 24 F R F) (r' 2527 R' U2 R U —■ ■ ■ ■■■ 34 y(r U R' U')r' R 44 f (R U R' U')f 54 (r U'U') (R' U' R U R' U') F(r U R' U') (r' F R) R Up R' U' R U' R' R' U R 35 R U'U'R2' 3637 F R F'(R U'U'R') R'U R U l U'R'U F (R U' R'U'R U) (R' F') ir 丄 L— 45 F (R U R' U') F' □ □ □ (R U'U') (R'2 U') R U' R'U2 46 47 (R' U') B(R' U' R' F R F' R U)2 B (U R) 56 =(r' U' r irTTii U')(R' U R □□□I U' R' U)(R r' U r) F (R U =(r U R'U')(R r')(U R U' F')(r U R')2(r U' 8 ■m ■■n i rBni r' U' R U' R' U2 r 18 I FS H I F (R U R' d)(R' U2) (R' F R F') 28 (r U R' U') (r' R U) (R U' R') 38 (R U R'U) (RU'R'U') (R'F R F') 48 F (R U R' U')2 F' 57 H H R (R U R' U' r)(R' U) (R U' r') □■ L JH 9 U')(R'F) (R U R') 19 U R' U' r) (R'2 F R F') 29 U')(R r'2 F R F') (r R') 39 R' f') 49 □■n i R B(R2 F)(R2 B) R2 F' R 10 (R U R'U)(R'F R F') (RU'U'R') 匚□ 20 r'(R U) (R U R'U' r2)(R2'U) (R U') r' 30 (f R U)(R2 U'R' U R2 U' R' f') 40 (R' F R U R'U') (F' U R) 50 nan L'B (L2 F')(L2B') L2 F L'
1 y’(U’R’UR) 2 d(R’U’R) (U’2R’UR) 3 d(R’U2RU’2) (R’UR) 4 (RU’R’U) d(R’U’R) 5 y’(R’UR)d’ (U’RUR’) 6 U’RU’2R’U2 (RU’R’) 7 (U’RUR’) U2(RU’R’) 8 (URU’R’) 9 (RU’R’U)2 (URU’R’) 10 (U’RUR’) U(RUR’) 11 (RUR’) 12 U’(RU’R’U) (RUR’) 13 d(R’URU’) (R’U’R) 14 y’(R’U’R) 15 d(R’U’R) U’(R’U’R) 16 U’RU2R’U y’(R’U’R) 17 y’R’U2 (RUR’U’)R 18 y’U’R’U2R (U’R’UR) 19 y’(R’UR) U’2(R’U’R) 20 y’U2R’2U2 (RUR’)UR2 21 (RUR’)U2 (RUR’U’) (RUR’) 22 (RU’R’)U2 (RUR’) 23 URU’2R’ (URU’R’) 24 RU’2 (R’U’RU)R’ 25 RU’2(RUR’) URU’2R2 26 R2y(RUR’U’) y’(R’UR’) 27 (RUR’U’) (RU’2R’U’) (RUR’) 28 R(U’RU)y (RU’R’)F2 29 y’(R’URU’) (R’UR) 30 (RUR’) (U’RUR’) 31 y’(R’U’RU) (R’U’R) 32 (RU’R’U) (RU’R’) 33 U’(RU’2R’U) (RUR’) 34 d(R’U’R) d’(RUR’) 35 U’(RU’R’U2) (RU’R’) 36 (U’RUR’) d(R’U’R) 37 (RUR’U’)2 (RUR’) 38 (RU’R’) y’R’U2R 39 (URU’R’) y'(U’R’UR) 40 y'(U’R’UR) y(URU’R’) 41 (RU’2R’U)2 y’(R’U’R)
OLL手法Gan 1 (R U'U') (R2' F R F') U2 (R' F R F') 2 (F R U R' U' F') (f R U R' U' f') 3 f(R U R' U')f' U' F(R U R' U')F' 4 f(R U R' U')y x(R’ F)(R U R' U')F' 5 (r' U2) (R U R'U) r 6 (r U'U') (R' U' R U' r') 7 r U R' U R U'U' r' 8 r' U' R U' R' U2 r 9 (R' U' R) y' x' (R U')(R'F) (R U R') 10 (R U R'U)(R'F R F') (RU'U'R') 11 r'(R2 U R' U)(R U'U' R' U) (r R') 12 (r R'2 U' R U')(R' U2 R U' R)r' 13 (r U' r' U')(r U r') (F' U F) 14 R' F R U R' F'R (F U' F') 15 (r' U' r) (R'U'R U) (r' U r) 16 (r U r') (R U R' U') (r U' r') 17 F(U R' U'F ')U (F R2 U R'U'F ') 18 F (R U R' d)(R' U2) (R' F R F') 19 (r' R U)(R U R' U' r) (R'2 F R F') 20 r'(R U) (R U R'U' r2)(R2'U) (R U') r' 21 (R U'U') (R' U' R U R' U') (R U' R') 22 R U'U' (R'2 U') (R2 U') R'2 U' U'R 23 (R2 D') (R U'U') (R' D) (R U'U' R) 24 (r U R' U') (r' F R F') 25 F'(r U R' U') (r' F R) 26 R U' U' R' U' R U' R' 27 R' U2 R U R' U R 28 (r U R' U') (r' R U) (R U' R') 29 (r U R' U')(R r'2 F R F') (r R') 30 (R2 U R' B')(RU') (R2' U) (R B R') 31 (r' F' U F) (L F' L' U' r) 32 (R U)(B' U')(R' U R B R') 33 (R U R' U') (R' F R F') 34 (R'U'R U) y(r U R' U')r' R 35 R U'U'R2' F R F'(R U'U'R') 36 R'U'R U' R'U R U l U'R'U 37 F (R U' R'U'R U) (R' F') 38 (R U R'U) (RU'R'U') (R'F R F') 39 (r U' r' U' r)y(R U R' f') 40 (R' F R U R'U') (F' U R) 41 R U' R' U2 R U y R U' R' U' F' 42 (R'U R U'U'R'U')( F'U)(F U R) 43 (B' U') (R' U R B) 44 f (R U R' U')f' 45 F (R U R' U') F' 46 (R' U') R' F R F' (U R) 47 B'(R' U' R U)2 B 48 F (R U R' U')2 F' 49 R B'(R2 F)(R2 B) R2 F' R 50 L'B (L2 F')(L2B') L2 F L' 51 f (R U R' U')2 f' 52 R'U' R U' R' d R' U l U 53 (r' U2) (R U R'U') (R U R'U) r 54 (r U'U') (R' U' R U R' U') (R U' r') 55 (R U'U') (R'2 U') R U' R'U2 (F R F') 56 F (R U R'U')(R F')(r U R'U')r' 57 (R U R' U' r)(R' U) (R U' r') 对标记 有问题 请到最 后页去 看标记 说明。
1-1 R’ U2 R U R’ U R 1-2 R U’ U’ R’ U’ R U’ R’ 1-3 (r U R’ U’) (r’ F R F’) F R) 1-5 (R2 D’) (R U’ U’) (R’ D) (R U’ U’ R) 1-6 (R U U R’ U’) (R U R’ U’) (R U’ R’) 1-7 R U’ U’ (R2’ U’) (R2 U’) R2’ U2 R 2-1 F (R U R’ U’) F’ 2-2 f (R U R’ U’) f’ 2-3 B’ U’(R’ U R B) 2-4 (R U R’ U’) (R’ F R F’) 2-5 F (RU R’ U’)2 F’ 2-6 F’ (L’ U’ L U)2 F 3-1 (F R U R’ U’ F’) (f R U R’ U’ f’) 3-2 (f R U R’ U’ f’) U’ (F R U R’ U’ F’) 3-3 (f R U R’ U’ f’) U (F R U R’ U’ F’) 3-4 (R U’ U’) (R2’ F R F’) U2 (R’ F R F’) 3-5 (r’ U2) (R U R’ U) r 3-6 (r U’ U’) (R’ U’ R U’ r’) 3-7 r U R’ U R U U r’ 3-8 r’ U’ R U’ R’ U2 r 4-1 F (R U’ R’ U’) (R U R’ F’) F R 4-3 (R B’) (R2 F) (R2 B) (R2 F’) R 4-4 (R’ F) (R2 B’) (R2 F’) (R2 B) R’ 4-5 r’ U2 (R U R’ U’) (R U R’ U) r 4-6 r U (R’UR U’)2 U’ r’ 4-7 (R U R’ U) (R’ F R F’) U2 (R’ F R F’)
CFOP分阶段学习教程 三叶虫步骤介绍 CFOP法共分四步: (1)在底层架好十字(CROSS) (2)完成前两层(F2L,41个基本情况) (3)顶面颜色统一(OLL,57个基本情况) (4)完成顶层(PLL,21个基本情况) 公式说明 (1)顺时针用字母表示,如U表示上层顺时针旋转90度。 (2)逆时针用一撇表示,如U'表示上层逆时针旋转90度。 (3)180度用2来表示,如U2表示上层顺时针旋转180度,U'2表示上层逆时针旋转180度。 (4)相应的小写字母f、b、l、r、u、d代表转动两层。 (5)x(整个魔方以R的方向转动),y(整个魔方以U的方向转动),z(整个魔方以F的方向转动)。 注:顺、逆指面对该面看时的转向,故对于B、B'、L、L'、D、D'的转向要特别小心。 基本公式有41+57+21=119个,刚开始学的朋友不可能一次学完,可以按照一定的步骤分阶段学习。 第一阶段CROSS+3+(1+2)+(2+2) CROSS首先掌握基本的做出CROSS的方法 4个棱块复位后是这样的不要是这样 然后在此基础上完成第一层(还差4个角) F2L先掌握三个公式 (R'U'R'U'R')(URUR)y'(RURUR)(U' R'U'R')(R U 'U' R' U)2y'(R'U' R)
OLL分两步做(顶面出“+”字,顶面颜色统一) OLL-1 只背1个公式F RUR'U' F' F RUR'U' F' F RUR'U' F' U F RUR'U' F' OLL-2 先背2个公式(总共处理7种情况) ①RUR'U RU'2R' ②R'U'RU' R'U2R 遇到其他5种情况时先用RUR'U RU2R' PLL分两步(角块归位,棱块归位) PLL-1 2个公式(总共处理3种情况) ①(l U’R) D2 ( R’ U R ) D2 R2②x' R2 D2(R' U' R)D2(R' U R') PLL-2 2个公式(总共处理4种情况) ①(R U' R)(U R U R)(U' R' U' R2)②(R2' U)(R U R' U')(R' U')(R'U R') 第一阶段的公式足以还原魔方 第二阶段CROSS+(3+?)+(3+7)+(3+4) CROSS不多作要求,快速完成第一层 .F2L在第一阶段的基础上,逐步理解F2L,掌握几种简单的情况
魔方小站CFOP 公式表 OLL 按小站顺序分组(2014/8/26 更新) 1-1 nan R U2 R U R' 1-3 1-4 1-5 1-7 2-1 2-3 2-4 B' U' (R' U R B) (R U R' U (R' F' 3-6 rmi (r U U ) (R ' U' R U r ') 3-7 R U R 1-2 U SB1-6pap il 2-2 f R R U' 2-5 iT_n (RU R' U )2 F ' 3-8 □ I R U2 5-1 (r U R ' U ) (r ' R F') F' (r U R ' U ) (r ' F R) (R2 D') (R U U ) (R' D) (R U' U R) 3-1 (R U U R U ) (R U R' U ) (R U R ) 3-2 R U' U (R2' U') (R2 U') R2 U2 R (R U R' U ) F ' (R U R' U ) f ' 4-84-9 2-7 F ' f ■ri □mi 2-6 (L' U' L U)2 F (RU R' U )2 f 'R U R' U f') 4-1 4-2 4-3 3-3 (R U R U) y' (R' U2) (R ' F R F') (M 下U) (R U R ' U') M上 (R' F R F') U ) (R ' F) (R2U U ) F' F (R U' R U ) (R U R' F') 5-2 R U' U (R2' F R F' )(R U ' U R ) (R B ') (R2 F) (R2 B) (R2 F ' ) R 5-3 ma (R U R' U) (R' F R F') (R U U R ) (r U R ' U ) (r ' R) (U R U ' R ) U ) r R ' (U R U ' r') (f R U R U f') U (F R U R' U F') 4-4 (f R U R' U f' ) U 3-43-5 (r ' U2) (R U R U) (R' F) (R2 B') (R2 F') (R2 B) R ' 5-5 (R' U') (R' F R F') (U R) (F R U R' U F') 4-5 (R U R' U ) (R U R ' U) r 5-6 (R U R (R' U R) E' F' ) U2 (R' F R F') 4-6 (R' UR U )2 U r ' 5-7 (R U R ' U) (R U R U ) (R ' F R F') ■ ■ ■ 4-7 (R U R U) (R' F R F' ) U2 (R' F R F') 5-8 U ) (R' U R U) (l U R U) II LU (r U R ' U) (R' F R F' ) R U2 5-106-1 ) (B' U' (R' URB R ) 6-2 (R ' U (U R U ' (R' F' F) ) R) 6-3 (R U R' U ) F ' (U R) 6-4 (L' U' L U) F (U' L ') 6-66-8 U R' U2 R) (F R U R' U (r ' U2 R U R' U r) (R U2 R' U R U' (r U2 R ' U R U r') (R' U2 R L
1-1 R’ U2 R U R’ U R 1-2 R U’ U’ R’ U’ R U’ R’ 1-3 (r U R’ U’) (r’ F R F’) 1-4 F’ (r U R’ U’) (r’ F R) 1-5 (R2 D’) (R U’ U’) (R’ D) (R U’ U’ R) 1-6 (R U U R’ U’) (R U R’ U’) (R U’ R’) 1-7 R U’ U’ (R2’ U’) (R2 U’) R2’ U2 R 2-1 F (R U R’ U’) F’ 2-2 f (R U R’ U’) f’ 2-3 B’ U’(R’ U R B) 2-4 (R U R’ U’) (R’ F R F’) 2-5 F (RU R’ U’)2 F’ 2-6 F’ (L’U’L U)2 F 2-7 f (RU R’ U’)2 f’ 3-1 (F R U R’ U’ F’) (f R U R’ U’ f’) 3-2 (f R U R’ U’ f’) U’ (F R U R’U’F’) 3-3 (f R U R’ U’ f’) U (F R U R’U’F’) 3-4 (R U’ U’) (R2’F R F’) U2 (R’ F R F’) 3-5 (r’ U2) (R U R’ U) r 3-6 (r U’ U’) (R’ U’ R U’ r’) 3-7 r U R’ U R U U r’ 3-8 r’ U’ R U’ R’ U2 r 4-1 F (R U’ R’ U’) (R U R’ F’) 4-2 R U’ U’ (R2’ F R F’)(R U’ U’ R’) 4-3 (R B’) (R2 F) (R2 B) (R2 F’) R 4-4 (R’ F) (R2 B’) (R2 F’) (R2 B) R’ 4-5 r’ U2 (R U R’ U’) (R U R’ U) r 4-6 r U (R’ UR U’)2 U’ r’ 4-7 (R U R’ U) (R’ F R F’) U2 (R’ F R F’) 4-8 F (R U R’U) y’(R’ U2) (R’F R F’) 4-9 (M下 U) (R U R’ U’) M上 (R’ F R F’) 5-1 (R U R’ U’) (R’ F) (R2U R’ U’) F’ 5-2 (R U R’ U) (R’ F R F’) (R U’ U’ R’) 5-3 (r U R’ U’) (r’ R) (U R U’ R’) 5-4 (R U R’U’) r R’ (U R U’ r’) 5-5 (R’ U’) (R’ F R F’) (U R) 5-6 (R U R’U’) x D’ (R’U R) E’ 5-7 (R U R’ U) (R U’ R’ U’) (R’ F R F’) 5-8 (R’ U’ R U’) (R’ U R U) (l U’ R’ U) 5-9 (F R U R’ U’F’) U (F R U R’U’F’) 5-10 (r U R’ U) (R’F R F’) R U2 r’ 6-1 (R U) (B’ U’) (R’URB R’) 6-2 (R’ U’ F) (U R U’) (R’ F’ R) 6-3 R’ F (R U R’ U’) F’ (U R) 6-4 L F’ (L’U’L U) F (U’ L’) 6-5 (R U R’ U R U2 R’) (F R U R’U’F’) 6-6 (R’U’R U’R’ U2 R) (F R U R’U’F’) 6-7 (r’U2 R U R’ U r) (R U2 R’U’R U’ R’) 6-8 (r U2 R’U’ R U’ r’) (R’U2 R U R’ U R) 7-17-2 7-3 7-4 7-5 7-6 7-7 7-8