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Palindrome

回文
Cat: ECO
Pub: 2007
#: 0726a

Kanzo Kobayashi
07Z16u/18303r
Index
  1. Introduction:
  2. English palindrome:
  3. Japanese palindrome:
  4. Mathematical palindrome:
  1. 序:
  2. 英語の回文:
  3. 日本の回文:
  4. 数学的な回文:
Why?

  • Palindrome is not only interesting, but also more effective and more stable as a memory trick.

  • 回文はおもしろいだけでなく、記憶する上での秘訣としてより効果的でかつより安定的である。
Key phrase
キーフレーズ

>Top 0. Introduction:

  • "Palindrome":
    • A word, phrase, verse, or sentence that reads the same backward or forward. (AHD) eg: "Madam"
    • Etymology: From Greek, palindromos = running back again, recurring: palin again
  • Palindrome in DNA:
    • A segment of double-stranded DNA in which the nucleotide sequence of one strand reads in reverse order to that of the complementary strand.
    • DNA and DNA and DNA and ...

0. 序:

  • 回文とは:
    • 和歌・連歌・俳諧などで、上からよんでも下から読んでも同音のもの。
    • 語原：
  • DNAの中の回文:
    • DNA上の塩基配列の反転対称構造。遺伝子のDNA上に多く発見されている。
    • DNA and DNA and ...

>Top 1. English palindrome:

  • Symmetry by characters:
    • Abel was I ere I saw Elba. [ere=before]
    • A man, a plan, a canal - Panama.
    • A Toyota! Race fast, safe car. A Toyota!
    • Borrow or rob?
    • Cigar? Toss it is a can. It is so tragic.
    • Damn, I Agassi miss again, mad!
    • Desserts, I stressed.
    • Devil never even lived.
    • Dogma: I am God.
    • Don't nod.
    • Gate man sees name, garage man sees name tag.
    • I prefer π(pi) - Never odd or even.
    • Laminated ET animal!
    • Live not on evil.
    • Ma is as selfless as I am.
    • Madam in Eden, I'm Adam. - Eve.
    • Maps, DNA, and spam.
    • Murder for a jar of Redrum.
    • Mr. Owl ate my metal worm.
    • Must sell at tallest sum.
    • Name now one man.
    • Niagara, O roar again!
    • No lemon, no melon.
    • No, it is opposition.
    • No, Sir, panic is a basic in prison.
    • NOW NO SWIM ON MON.
    • Nurses run.
    • On a clover, if alive, erupts a vast, pure evil; a fire volcano.
    • Pull up, if I pull up.
    • Saw tide rose? So red it was
    • Some men interpret nine memos.
    • Step on no pets.
    • Star comedy by Democrats.
    • Tuna roll or a nut?
    • Was it a bar or a bat I saw?
    • Was it a cat I saw? - Was it a rat I saw?
    • Won't it now?
    • Wonders in Italy, Latin is red now.
    • Won't lovers revolt now?
    • Wonton? Now now,
    • Zeus was deified, saw Suez.
    • Are we not drawn onward, we few? Drawn onward to new era?
  • Symmetry by words:
    • First ladies rule the state and state the rule: ladies first.

1. 英語の回文:

  • 文字の対称性:
    • 我々はほとんど進めないのではないか。新しい時代までは。
  • 言葉の対称性:
    • 最初の女性達が国家を支配して規則を決めた。レディー・ファーストと。

>Top 2. Japanese palindrome:

  • 回文のことば:
    • よく効くよ； 縄の罠; 足しました;　皆 花見;　色白い ; 安い椅子屋; 悲しい品か; いか食べたかい; 確かに貸した;　長崎屋の焼き魚 ; ; ;
  • Japanese palindrome (called kaibun) by hiragana syllabary.
    • むら草に草の名はもし備はらば　なぞしも花の咲くに咲くらむ
    • 長き夜の遠の眠りの皆目覚め　波乗り船の音のよきかな
    • 白波の高き音すら長浜は　必ず遠き潟のみならし
    • 茂る葉もかざして岩間闇砕く　御山は出でじ坂も遙けし
    • 松の葉に　悲しみ深し追憶を　いつしか踏みし　中庭の妻
  • 盐飞乱蝶舞　花落飘粉奁 奁粉飘落花 舞蝶乱飞盐 yánfēi luàn diéwǔhuā luòpiāo fěnlián

2. 日本の回文:

  • 　日本の回文は、ひらがなの対称性:
    • 竹藪焼けた (たけやぶやけた)
    • 野茂のパパの物は野茂のママのもの、野茂のママのものは野茂のパパのもの
    • この子ねこの子
    • 内科では薬のリスクはでかいな
    • 外科でも薬のリスクもでかげ
    • 迂闊な買い方薬のリスク高いかな使う
    • 否言う良し薬のリスク仕様以内

>Top 3. Mathematical palindrome:

  • Palindromic primes:
    • 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, 10301, 10501, 10601, 11311, 11411, 12421, 12721 12821, 13331, 12831, 13931, 14341, 14741, 15451, 15551, 15061, 16361, 16561, 16661, 17471, 17971, 18181
    • [二進法]11 (3), 101 (5), 111 (7), 10001 (17), 1111 (31), 1001001 (73), 1101011 (107), 1111111 (127), 100000001 (257), 100111001 (313), 110111011 (443), 10010101001 (1193), 10110101101 (1453), 11000100011 (1571), 11001010011 (1619), 11011111011 (1787), 11100100111 (1831), 11101010111 (1879), (4889), (5113), (5189), (5557), (5869), (5981), (6211), (6827), (7607), (7759), (7919), (8191), (17377), (18097), (18289), (19433), (19609), (19801), (21157), (22541), (22669), 101100101001101 (22861), 101110000011101 (23581),
      , 101110111011101 (24029)
  • Palindromic perfect squares: 0^2=0, 1^2=1, 2^2=4, 3^2=9, 11^2=121, 22^2=484, 26^2=676, 101^2=10201, 111^2=12321, 121^2= 14641, 202^2=40804, 212^2=44944, 264^2=69696, 836^2=698896, 1001^2=1002001, 1111^2=1234321, 11111^2=123454321 ...

3. 数学的な回文:良し
Comment
  • Palindrome in kanji character, which is "回文" is a palindrome itself horizontally. This could be called as 'visual palindrome.'
  • 漢字の"回文"そのものが水平的に見てすでに回文となっている。これは視覚的な回文というのだろうか？

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