Crop circle 'inspired by most beautiful formula in mathematics' appears in Wiltshire
A crop circle thought to be inspired by a formula acclaimed as the most beautiful in all mathematics has appeared on a hillside in Wiltshire.
一個麥田怪圈被認為是由一條公式所啟發，被譽為所有數學中最美麗的，出現在威爾特郡一個山坡上。
By Matthew Moore
Published: 5:30PM BST 24 May 2010
The circle, which is more than 300ft in diameter, was cut into a field of oil seed rape by Wilton Windmill at Wilton near Marlborough. Photo: PIN圓圈直徑超過三〇〇呎，被切割成一塊油菜種子田，被馬爾伯勒附近的威爾頓風車。圖文：密碼
The circle, which is more than 300ft in diameter, was cut into a field of oil seed rape by Wilton Windmill at Wilton near Marlborough.
圓圈直徑超過三〇〇呎，被切割成一塊油菜種子田，被馬爾伯勒附近的威爾頓風車。
Experts say that the design may be connected to Euler's Identity, a complex formula devised by the 18th Century Swiss mathematician Leonhard Euler.
專家說那設計可能被連接到歐拉的證明，一條複雜的公式由18世紀的瑞士數學家歐拉設計。
Lucy Pringle, the crop circle researcher who photographed the formation from a helicopter after it appeared in the early hours of Saturday morning, said that each segment of the circle represented an element of the formula.
麥田怪圈研究者露西普林格爾從直升機拍攝作物圈結構，在它於星期六早上清晨出現後，說圓圈的每一部分代表一條方程式的元素。
The pattern of dashes and spaces against each of the lines coming out of the centre forms the binary code for symbols and letters of the alphabet which feature in Euler's Identity, it is claimed.
She said: "This is one of the most profound and complicated equations of the past 2,000 years, and we think the crop circle is some form of visual translation."
The Wilton Windmill pattern is the latest in a long line of mathematical crop circles in Britain. In 2008 a coded image representing the first 10 digits of pi was discovered in a barley field in Wiltshire.
Euler's Identity is admired by mathematicians for linking several fundamental mathematical constants.
Keith Devlin, professor of mathematics at Stanford University in California, said that the formula "reaches down into the very depths of existence ... like a Shakespearean sonnet that captures the very essence of love."
http://www.telegraph.co.uk/science/science-news/7760079/Crop-circle-inspired-by-most-beautiful-formula-in-mathematics-appears-in-Wiltshire.html
麥田怪圈隱藏'美麗的' 數學公式出現在油菜種子田
Crop circle hiding 'beautiful' maths formula appears in rape seed field
By Daily Mail Reporter
Last updated at 6:36 PM on 24th May 2010
An extraordinary crop circle based on the 'world's most beautiful maths theorem' has appeared in a field next to a windmill in Wiltshire.
The complex disc, which measures 300ft across, appeared to the east of Wilton Windmill near Marlborough in a blazing yellow rape seed field.
It appeared on Saturday just 25miles from another circle that popped up a fortnight ago by the Iron Age hill fort of Old Sarum.
The latest circle appears to be based on a mathematical formula. It appeared on Saturday in Wiltshire最新的圈似乎是建基於一條數學公式，它週六在威爾特郡出現
Lucy Pringle, a renowned crop circle researcher was puzzled by what appears to be a hidden code based on complex numbers within the shape.
She said: 'I believe it contains binary, a numeral system, or base-2 number system that represents numeric values using two symbols, 0 and 1.
'Working from the centre outwards, people are suggesting it has a connection to Leonhard Euler's theorem e^(i)pi+1=0 which is thought to be one of the most beautiful theorems in mathematics.'
She added that it could even contain a hidden tune.
'Historically over the years, crop circles have been associated with diatonic scales (white notes on the piano),' she said.
'These diatonic scale frequencies are encoded in each segment of the crop circle and can be played on the piano.
'This is a unique formation incorporating both music and mathematics and is similar in importance to the famous 2008 Barbury Castle Pi event.'
There is speculation that the circle represents Leonhard Euler's complex theorem e^(i)pi+1=0
有猜測說，圓圈代表歐拉的複雜定理e^(i)pi+1=0
Another crop circle expert said everyone can draw their own conclusions from the circles, adding: 'The thing about maths and the circles is that you are dealing with something which isn't an exact science so one person may decode the circles as having diatonic ratios, the other may find meaning in binary numbers or astrological cycles.
'The only possible explanation which covers all areas would be humans, however this can only be a problematic relationship shared by creaters and researchers since the [UFO] researchers hate the idea that a sense of wonder and optimism is quoshed by the admittance of human involvement.'
Carved out in a barley field, the Barbury Castle crop circle was a pictorial representation of the first ten digits of Pi, one of the most fundamental symbols in mathematics. The image was an example of what is known as a fractal, or geometric pattern.
It was solved by astrophysicist Mike Reed who saw a picture of the crop circle and made the mathematical link.
Crop circle designs have developed from simple circles in the 1970s to pictorial designs in the late 1980s and binary number designers from 2001.
Number's up: The famous Barbury Castle crop circle. The astrophysicist Mike Reed realised it represented the first 10 digits of pi (3.141592654)
數字在上升：著名的巴伯里城堡麥田怪圈。天體物理學家邁克里德認知到它代表 pi 的前10位數字（3.141592654）
http://www.dailymail.co.uk/sciencetech/article-1280930/Complex-crop-circle-appears-rape-seed-field--does-mean.html
英發現2010首個「麥田怪圈」
英國發現結合樂譜與數學公式的麥田怪圈
2010年05月25日10:47
5月22日，英國威爾特郡文德米爾驚現一個奇特的麥田怪圈，令人驚嘆的是，它竟然展現了“世界上最美麗的數學定理”——萊昂哈德-歐拉定理e^(i)pi+1=0。
這個奇特的麥田怪圈呈復雜的圓形，直徑為300英尺(約合91.44米)，5月22日出現在威爾特郡文德米爾(Windmill)以東、馬爾伯勒附近一塊黃油油的油菜籽地中，距兩周前現身於威爾特郡舊塞勒姆“鐵器時代”山城堡遺址的另一個麥田怪圈25英裡(約合40公裡)。著名麥田怪圈研究者露西-普林格爾(Lucy Pringle)發現，最新出現的麥田怪圈看上去就像依照復雜數字組成的密碼。
普林格爾說：“我認為它包含了一個二進制。二進制是計算技術中廣泛採用的一種數制，而二進制數據是用0和1兩個符號來表示的數值。從中心向外延伸，人們認為它與萊昂哈德-歐拉的數學定理e^(i)pi+1=0存在聯系，而這個定理被認為是數學方面最美麗的定理之一。”
普林格爾指出，最新麥田怪圈甚至可能暗藏了一個秘密樂曲：“過去，麥田怪圈一般與全音階(鋼琴上的白鍵)有關。這些全音階頻率存在於麥田怪圈的每個部分中，可以在鋼琴上演奏出來。這是一個結合了音樂和數學的獨特怪圈，其意義不亞於2008年發現的著名巴伯裡城堡‘圓周率’怪圈。”
另一位麥田怪圈專家表示，每個人看到麥田怪圈都能得出他們自己的結論：“有關數學與麥圈聯系的一個問題是，大家面對的並不是與科學密切相關的現象，所以，有人可能認為某些怪圈包含有音階，有人可能發現其中隱藏二進制數碼或佔星術。唯一能涵蓋所有方面的潛在解釋涉及人類，但是這可能演變為怪圈創造者和研究人員的復雜關系，UFO研究人員一向痛恨這種看法，即驚奇感和樂觀主義因人為因素而變得復雜起來。”
巴伯裡城堡麥田怪圈出現於一塊大麥地裡，以繪畫的形式呈現了圓周率Pi的前十個數字。圓周率是最基本的數學符號之一。那個麥田怪圈也被稱為分形體(即一種貌似無規、復雜混亂、但又有其相似性的體系)的典型案例。
最終，英國天體物理學家邁克-裡德在看到巴伯裡城堡麥田怪圈的照片后，發現了它與數學的聯系，並最終揭開了這個謎團。麥田怪圈設計經歷了從簡單到復雜的演變過程，從20世紀70年代的簡單圓圈過渡到20世紀80年代末期的繪畫設計，直至2001年出現復雜的二進制數碼。（孝文）
來源：新浪科技
http://scitech.people.com.cn/BIG5/11688819.html
數學方程式麥田圈佐證阿丁星門
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