全國中小學科展

四等獎

魚洗水跳現象的探討

In the previous year study, we assumed that the fish basin as a column-shape model in order to exam and explain how the water spouting. This year, we established a reality-like situation of the fish basin to construct our theory base. At this point, round-waves and up-down waves are found as the beginning point of the water spouting. The sound from the basin is the frequency of the vibrations. Meanwhile, this process enables us to understand the causes of four, six, and eight waves. In addition, we tried to change the basin's positions, the capacities of water, the densities of liquids, and the sizes of the containers to demonstrate the theory. Furthermore, we used similar containers, such as high-heel cup and big magnetic bowl to experiment. The results are also corresponded with the theory. These results can also be used to explain the Chinese aeolian bell, clock, shaking bell, etc. That is a major innovation for us. Finally, we obtain better understanding of the abstractive theory though the simulation of the computerized photographs. 魚洗,也稱龍洗,傳說是中國唐宋時代皇帝洗臉的臉盆,內底四條魚紋,麟尾畢具。洗內盛水後,用手摩擦其兩個雙耳,立即發出響亮的嗡鳴聲,並出現美麗了漣漪,水珠四濺,摩擦越快,聲音越響,波浪翻騰,水珠越烈。對此在上一年度的研究中,是將洗盆視為圓柱狀,然後由圓柱狀所建立的模型去解釋水跳的原因,初步瞭解了水跳的原因。今年我們以洗盆真實的情況建立理論模型,在殼體產生共振的圓形駐波及上下駐波,此為水跳產生點,此時殼體發出的聲音就是共振的頻率。也瞭解了有四個、六個、八個、十個波腹的原因。並以改變殼體不同位置、水量、液體密度及洗盆大小等變因應證模型,結果與理論相符合。繼而以高腳杯、大磁碗等類似魚洗盆構造的容器,加以實驗應證,也能符合此理論。甚可推到中國古時候的編鐘、搖鈴、風鈴等器材。對於我們總認為碰撞就產生聲音的觀念實是一大突破。最後經由電腦動畫的模擬,讓此抽象的理論更容易瞭解。

強電場下DNA穿透細胞膜的蒙地卡羅電腦模擬

去年暑假,我們從Newton雜誌得知,布洛貝爾博士(Dr. Gunter Blobel)由於發現了蛋白質如何在細胞之間運送,增進了人們對遺傳性疾病的了解,因而榮獲1999年的諾貝爾醫學獎。同為高分子鏈的DNA,在基因遺傳工程中常被用來在強電場的情況下穿破細胞膜,以進行基因的改造,其穿的物理機制又為何?在一場演講中,我們知道鍵振盪模型(bond-fluctuation model)可用來模擬高分子系統,因此我們想以之模擬DNA在強電場下穿透細胞膜的行為。

空間震盪與擴散

筆者將K?Cr?O?置於明膠溶液中煮沸,加入AgNO?水溶液,使之造成空間震盪反應。產生Liesegang ring。並且在研究空間震盪的過程中,筆者在研究過程中同時發展出一個程式,可以完成空間震盪實驗完成之後,由其震盪條紋的時空關係,得知ksp與擴散係數。或者可以在已知ksp和擴散係數的條件之下,預測出空間震盪實驗完成時的情形。We put K?Cr?O? into glutin, boiling it. After it concretizes, add AgNO? aqua into the glutin of K?Cr?O?. It is made to be space oscillation reaction with the Liesegang rings. And when we research for the process of space oscillation, we develop a program which can know the Ksp or diffusing coefficient after finising an experiment in Lablratory. Or we can predict the statement after the experiment on the condition of the Ksp and diffusing coefficient.

台海的冬季訪客-鯔魚洄游的研究

每年一到冬季,常常會看到新聞報導有關烏魚洄游的消息。往往在當季讓漁民有可觀的收穫。恰巧國三的地球科學課時,第四章「地球上的水」有一小段提到:「冬季時台灣海峽由於東北季風吹送,中國沿海的海流向南流至澎湖群島附近,使台灣西南海域的水溫降低,正適合烏魚習性,因此每年在冬至前後左右,大量烏魚為台灣的漁民帶來可觀的魚獲。」為什麼冬季時台灣海峽會因東北季風吹送,中國沿海的海流會南流至澎湖群島附近?台灣酉南海域水溫降低,範圍有多廣?台灣的東南海域呢?烏魚有何習性?適合的海域水溫為何?除了水溫使大量烏魚洄游至台灣西南海域外,是否還有其他的因素?.....經過老師的鼓勵和指導後,我決定把烏魚洄游的情形整理出來並試著找出疑點的答案。

彩色蠶繭之研究

近幾年來,蠶繭彩色化已引起廣泛的注意,日本與中國大陸紛紛投入此研究領域。我們用食用色素、酸性染料和活體染色劑中性紅等色素水溶液,以沾附於桑葉餵食、浸泡蠶體、注射入蠶體血腔等方法,使白色繭品系的家蠶生產出多種顏色的彩色蠶繭,其中以附於桑葉餵食最有效率,我們就此法找出投與色素的有效期間,可以比日本、中國的方法更節省色素。同法處理黃色品系的家蠶則產生黃色與所加色素的混合色蠶繭。由於這樣得到的彩色蠶繭放久了都會褪色,我們試用奈米色素餵食家蠶所得彩色蠶繭,與一般食用色素所製成的彩色蠶繭比較,發現對各種光照、清潔劑清洗等處理,用奈米色素所得蠶繭明顯較用一般食用色素所得蠶繭不易褪色。這樣用奈米色素生產的彩色蠶繭,因為解決了褪色的問題而更具有潛在的產業價值。To make silkworm cocoons with different colors has received a great attention recently. Japan and China have invested great resources in this field of the study. In order to let white cocoon silkworms produce cocoons of different colors, we used the aqueous solutions of food dyes, acid dyes and neutral red, and fed the worms with mulberry leaves immersed with such aqueous solutions, or directly soaked or injected them with the solutions. We found that using mulberry leaves immersed in the dye solutions was the best approach. We improved this approach by finding a critical, effective time of applying dyes. It saved the dyes and labor than those of Japan and China. We also found that yellow cocoon silkworms produced yellow and mixing colored cocoons by the mulberry leaf feeding method with the same dyes. Because all colors of the cocoons mentioned above faded easily, we furthermore tested nano-dye and found that colors of the cocoons had better resistant to fading away in washing with detergents under various types and intensities of light illumination. This result suggested that nano-dye has a potential in solving the fading problem of the colored cocoons.

Amazing Fairy Chess -討論多元方形鏈的數量

在這篇研究報告中,我們討論的是一種方形集合圖形的數量。”多元方形鏈”約略在 60 年代被提出,衍生出一系列的問題和遊戲,例如熟知的電玩軟體 『 俄羅斯方塊 』 ,或是 『 益智積木 』 的遊戲,都是多元方形鏈的應用。在這些問題當中,最令人頭痛的難題就是 n 元方形鏈的圖形總數。為了解決這道難題,我們採用一種轉換方法將圖形轉換成序組,並且給出序組的性質,再據此寫成 C 語言的程式;反覆地修改程式以增進執行效率及速度,最後利用該程式成功地統計出圖形總數。 In this report, we discussed the amount of polyominoes, the graphs of a set of squares. “Polyominoes” has been brought up in 1960s, and later developed into a series of questions and games, such as a well-known video game — Tetrix, and the game of puzzle blocks. Both are the applications of polyominoes. Among those questions, the toughest one is the amount of n-polyominoes. To solve this problem, we used a method which transforms the graphs into sequences. By looking into the properties of those sequences, we obtain a set of rules that can be used to determine the quantity of n-polyomines. The rules are implemented into computer codes in C language with proper modifications made to speed up the efficiency of our algorithm. The computational results show that the amount has been successfully calculated.

以3DVR虛擬實境融入教學活動設計之研究

面對一個終身學習,多元化學習的社會,學習的方法不再侷限於閱讀或求教於師了,取而代之的是電腦科技的變革。上屆學長利用線上代理人融入遠距教學的作品令我印象深刻,但總覺得少了些趣味及互動性,於是本實驗嚐試將虛擬實境加入線上代理人及遠距教學,利用空間魔法師建構出來的環境,讓使可者能夠融入其中,悠遊在虛擬的世界,並配合鍵盤的滑鼠的控制移動,點選建構出來的虛擬物件,透過超連結連結至網路上的知識網頁,配合線上代理人的互動及帶領,結合了主動、趣味、互動與便利,開創未來的學習方法,一個講求效率、速度及克服空間無時無刻都能學習的環境。With the arriving of 21st century,things are widely different,including the ways of learning. Because of the revolution of multi-media,computer technology will change the traditional way of learning. I was impressed by the master piece 「Long-distance with Agent」 which was done by the schoolmates last semester. But I feel their work still have much room for improvement,so I combine to use the virtual environment with the advantages of their work. Learners can move and click the objects in the virtual reality space,and they can be linked to the knowledge website through the Internet. Learners can enjoy the interesting ,fast,interactive and efficient learning environment. This work is done by the Space Magician Ver3.0, which is used to design a 3D virtual reality environment. And the users can enjoy the net-surfing and through the hyperlinks to get the information.

光速的測定

本實驗改良菲左測定光速之實驗,將原本的光路以光纖取代,並將原本的光源改為紅外光。做了上述的改良以後,可將實驗的空間及時間縮小。實驗中輸入固定頻率的紅外光載送週期性的訊號經光纖傳輸後,利用示波器觀察訊號的延遲時間,以此實驗技巧可精密計算出光速。在輸入訊號為0.1~5MHz時,光在光纖的平均速率為2.09×108 (m/s)。換算真空中光速c=折射率n(1.467)×光纖中速率v(2.09×108m/s)=3.03×108 (m/s),平均百分誤差0.43%,平均誤差為0.13×108 m/s,準確度為99.57%。 若取最佳輸入頻率2~3MHz所得到之數值,光在光纖的平均速率為2.05×108 (m/s)。換算真空中光速c(3.00×108 m/s)=折射率n(1.467)×光纖中速率v(2.05×108 m/s),平均百分誤差為0.33%,平均誤差為0.01×108 m/s,準確度為99.67%。 A method using optical fiber is described for measuring the velocity of light . Measuring the velocity of light usually needs a long distance and in a brief time. These experiments use optical fiber and TOSA and ROSA

利用雷射光碟(CD)做光的繞射實驗

雷射光碟(以下簡稱CD)除了在電腦、音響方面有甚佳的視聽功能外,在光線照射下,呈現彩虹狀的光譜,必定引起你我研究其光學性質的興趣。國內以CD研究光的繞射的著作,有李偉等四人近三年發表五篇,國外科教期刊自1991年迄今共有19 篇,在老師指導下,利用CD進行了8 項實驗,分成三大項。1.利用氦氖雷射分別照射舊唱片、CD、DVD,反射光形成繞射現象,由dsinθ=mλ,量出槽距。2.將CD-R 的鋁層刮掉,(整疊購買的CD-R上下有數片未鍍鋁的瑕疵片),成為透光式CD(透射式光柵),將其中心半徑5.5 公分部份,用黑紙遮住,正對陽光,螺旋狀的溝槽將陽光聚成一點,量出各色光到CD的距離,可算出色光的波長。3.透射式CD置於投影機鏡頭前方,投影機置物台上,放置化學藥品,可直接在屏上觀察吸收光譜。The rainbow of colors reflected from the surface of an audio compact disc (CD) is a familiar sight.It is the phenomenon of light diffraction. A standard CD has 20,625 turns of the spiral, and each line is spaced by 1.6μm. This provides a grating of 625 lines/mm. We used ordinary CDs as reflection grating in our experiment,and transparent factory rejects with no coating but printed data spirals as diffraction grating. We conducted eight experiments of diffraction using the two kinds of CD. (a) Determined the grating spacing of an ordinary CD using a laser beam. (b) Determined the grating spacing of a transparent CD using a laser beam. (c) Studied the diffraction patterns caused by a laser beam held at angles to a transparent CD. (d) Measured the wavelengths of sunlight using a transparent CD. (e) Measured the wavelengths of sunlight using an ordinary CD. (f) Formed a rainbow using a transparent CD. (g) Observed the scattering of light using a transparent CD. (h) Demonstrated the absorption spectrum using a transparent CD and an overhead projector.

Developing Swarm Intelligence with Flying Robots for Life Saving

Purpose of the research I had a bicycle accident eight months ago and I suffered an opened humeral fracture. I wasn’t able to get up on my feet, I had to suffer on the ground while a couple accidentally walked there, and they called the emergency services, I lost a lot of blood and the doctors had to cut a small piece of muscle out of my biceps. Now this shouldn’t have happened if there were a faster method on making first aid. Example an intelligent flying robot could easily handle this situation. Procedures There is a hexcopter and a quadcopter. Both of them has cameras with live image transmissions in Full HD and they also have GPS. They are equipped with a lot of sensors (image recognition with Raspberry Pi, 6 axis distance sensors, long range communication modules) and with these they are able to solve problems just a bird or a human does. These drones can communicate up to 1.8 kilometers, they communicate with the main server, they share their knowledge with each other and this way they can learn about the world and about the terrain that surrounds them. In a very basic way they are able to learn… Each time they make their flying techniques smoother and their database is growing. These drones can cooperate and save lives faster than humans do. They are also able to fly in non-accessible zones by themselves with no human help. For example with their sensors they can fly in and map buildings that are inaccessible for people. They can also do artificial farming with their object recognizing features, like recognizing plants and colors. (Right now they are calibrated to look for survivors alone in the mountains/forests.) They go to a given GPS coordinate then they are flying in a spiral form to find the injured people in less than a half hour. I really hope that one day these flying intelligent machines will save lives! Note: (I probably can only take one drone with myself to Taiwan, because of the traveling restrictions on planes.)