封閉折線形 - 拼圖

By Connor
at 2010-02-04T22:39
at 2010-02-04T22:39
Table of Contents
恭賀新版主上任
【題目】
請畫出一個 具有8個邊的封閉折線形,使得每條線上只有一個交叉點。
┌─┐
│ │
┌─┼─┘
│ │
└─┼─┐
│ │
└─┘ 毫無幫助的示意圖。避免誤導!! 折線不一定要90度啊。
又問,能滿足每邊只有一個交叉的折線形,最少必須有幾個邊?
(↑這個圖形畫出來之後前題秒殺↑)
又問,將交叉的情形寫成表格:
1 2 3 4 5 ... n
─┼──────── 編號k 的線不可能與自己,與左右兩條線交叉。
1│- - x x
2│- - - x
3│ - - - x 是否能一個表格對應一種圖形?
4│x x - - -
5│x - - - 若否,限制是什麼?
..│
n│ x - -
- - - -
--
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拼圖
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