全國中小學科展

四等獎

永不妥協

本文籍由一套數學遊戲的必勝方法及其背後潛藏的數學原理,來作為研究目標。透過研究德國數學家E.Sperner 提出的方法所延伸的數學遊戲,來解決潘建強、邵慰慈兩位教授留下來沒有證完的遊戲結果[1],並將遊戲增廣至三維空間的探討且得到如下的結論: 一、平面棋盤 (1)不可換色,先下者恆勝,其最快獲勝方法,為依所下位置的三角形衍生子圖周界走。 (2)可換色,獲勝規則由棋盤的總頂點數決定,若棋盤的總頂點數為奇數,先下者獲勝;若棋盤的總頂點數為偶數,則後下者獲勝。 二、空間棋盤 (3) 不可換色,先下者恆勝,而最佳下法,則是下在大四面體本身內部的某一點,且其最快獲勝方法為,依正四面體稜邊所下位置走。 This study is mainly about an invincible method of a mathematical game and its theory from which it is derived. We want to solve the problems left by Professor Poon, K.K and Professor Shiu,W.C. and meanwhile extend it into three dimensions through the method brought up by E. Sperner[1]. On two dimensional case, the first player will win the game forever on condition that these two players can't change their chesses colors at will. And the fastest way to win will be just putting the chesses that along the baby triangle boundaries. If both players can change their chesses colors randomly, count the chesses number before starting the game. It is calculated that if the number of the total chesses is odd, the first player will win the game in normal and logical circumstances. On the contrary, if the number of total chesses is even, the latter will win. On three dimensional case, the first player will definitely win the game without allowing changing chesses colors. And the best strategy is putting chesses in the inner of the big tetrahedron; what’s more, going along the edge of the tetrahedron will be shortest way to win the game.

The Effect of Hands Free - Cell Phone Conversation on Visual Fields

It is a known fact that using a cell phone while driving can lead to reckless driving. According to research done by the World Health Organisation (2011) thousands of car accidents occur worldwide, each day, due to cell phone use whilst driving. Many of these car accidents result in serious injury or death of drivers, passengers or pedestrians. According to the Automobile Association (2012), cell phones are the number one cause of traffic accidents in South Africa. The high rate of car accidents due to cell phone use has led to legislation being passed, in most countries, banning hand-held cell phone use while driving. Hands-free phone equipment is not prohibited as it is widely regarded as a safe means of making and taking a phone call while behind the wheel. The purpose of this study was to show that the act of talking on a cell phone and not the method of talking (hand-held versus hands-free) increases accident probability. This study used a Friedman Visual field analyser which measures subject’s visual fields with and without engaging in hands-free cellular conversation. The results showed a significant constriction of the visual fields when subjects were conversing on a cell phone. These results were and can be explained by the fact that the test subject experiences cognitive distraction. Cognitive distraction occurs because the driver has to divide his/her attention between the cell phone conversation and the tasks relating to driving. These results have significant ramifications for road safety in a driving environment.

Robotic Window Cleaner

My project is a robot designed to clean windows and eliminate the need for human labor. My ultimate aim for this project is to develop my robot to clean high-rise buildings as well as homes. The current version of my robot is designed to clean only house windows. The idea to invent a robot that would automatically clean windows came to me when I arrived home from school one day and found my father struggling to clean the outside of our living room windows because he suffers from back and knee pain. During my research I stumbled upon high-rise window cleaning accidents in which people have lost their lives and this gave my project greater purpose. The major challenge I faced when designing my robot was getting my robot to stick to a vertical window while maneuvering around its surface without falling off. My solution was to use vacuum technologies, suction cups and direct current motors in my design. My robot is made up of a mechanical system, an electronic system and a pneumatic system. The mechanical system consists of direct current motors that drive the two arms of the robot backward and forward through a rack and pinion enabling movement. The pneumatic system provides the vacuum that enables my robot to stick to the window and also consists of pistons that lower the suction cups onto the glass. The electronics system is made up of a microcontroller that uses transistors to control the robots various components. Some key features of my robot include the new split unit design which includes a cleaning unit and a control panel that allows for a decrease in the weight of the device, ultrasonic distance sensors for window edge detection and a self drawing cleaning progress map which the robot displays on the LCD screen on the control panel. Gauges have been added to monitor pressure and vacuum levels in the system so that the user is aware if a problem were to occur. The dual squeegee design includes a squeegee on either end of the horizontal arm which are raised and lowered at certain times while the robot maneuvers across the window to result in the most effective clean. Attached to the squeegees are microfiber cleaning pads that are used to clean the window. I plan to one day develop my robot to clean high-rise buildings so it minimizes the risk of workers losing their lives.

Development of new manufacturing method to generate hydrogen energy by using waste silicon ~ Reuse of waste of the semiconductor industry for hydrogen community ~

Because of the presence of an activated multiple carbon-carbon bond, α,β-unsaturated sulfones are high-reactive compounds which are widely used in organic synthesis. These compounds readily undergo the reactions of nucleophilic addition and pericyclic processes. At the current moment, a wide range of 1,3-dipolar cycloaddition reactions with α,β-unsaturated sulfones as dipolarophilic systems is known. However the interaction of α,β-unsaturated sulfones with azinium ylides is less studied and limited to only a few examples. In the present study, the interaction between a number of stable isoquinolinium and pyridinium ylides with aliphatic and aromatic vinylsulfones has been investigated. We considered the regioselectivity of these reactions. Mostly cycloadditions of isoquinolinium ylides to α,β-unsaturated sulfones led to the mixtures of isomeric sulfonyltetrahydroindolizines in different ratios. Also we found several examples of high-regioselective addition. The stereochemical result of the cycloaddition was examined by methods of 2D correlational 1H-NOESY NMR spectroscopy and X-ray crystallographic analysis. The process of formation of major regioisomer of cycloaddition N-phenacylisoqunolinium ylide to ethylvinylsulfone was highly stereoselective. The series of new sulfonyltetrahydroindolizines with potential bioactivity were obtained. The structure of all products was proved by IR and 1H NMR

反輪得行—胎痕軌跡關係辨析

本研究旨在探討轎車四輪關係。藉由車體結構的限制:左右互相平行,其距離為輪寬w,後輪沿車身延長輪距d,會碰到當時刻的前輪位置,以此做為發想,發展出前推後、後推前、左推右及右推左四種推論方式,最後得到結論。 研究最後將結論應用於許多方面,如應用於刑事鑑定方面,此外亦將程式寫於MATLAB以利修改跑跑卡丁車只留下了後輪軌跡之程式不足。

Sustainable Graphene Oxide Support for Ruthenium Catalysts to Improve the Efficiency of the Hydrodesulfurization of Thiophenes

沙烏地阿拉伯 is the largest oil exporter in the world. 64,000,000 tons of sulfur oxides are produced every year through the combustion of organic sulfur compounds in the oil industry. This leads to several environmentally serious problems, including air pollution. This research provides a novel strategy to utilize natural-based Graphene Oxide (GO) as a support for ruthenium (Ru/GO) to functionalize as a green catalyst for hydrodesulfurization. Physical activation of camel bone samples was carried out by carbonizing them at 500oC to produce camel bone charcoal. Modified hammer’s method was employed for GO production, followed by doping of ruthenium in a simple synthesis step. The prepared catalyst has been characterized by XRD, SEM and EDX techniques. Thiophene and 3-methylthiophene were used as model compounds in the hydrodesulfurization process. The catalytic reactions were carried out at atmospheric pressure in a continuous up-flow fixed-bed quartz reactor. The composition of the sulfur containing gaseous products was analyzed by gas chromatography. The product distribution achieved for thiophene was 3-6% butadiene and 76-77% butane. And for 3-methylthiophene, it was 32.3% of pentaned 1-pentene and 2-pentene and the selectivity percentage was 45%. Ru/GO has been found to be an excellent catalyst of thiophene and 3- methylthiophene hydrodesulfurization and is a considerable improvement when compared to the commercially available catalysts. The prepared catalyst shall potentially lead to the reduction of sulfur pollution in the future. The positive effect on the environment could be substantial.

味噌萃取物Soyasaponin I 抑制肺癌細胞轉移並且減少細胞激素分泌及抑制惡體質進展

研究指出Soyasaponin I 是味噌中的一種成分,其效果可以抗發炎,因此,本實驗想使用Soyasaponin I 探討其是否能應用於肺癌治療,及其對肺癌的轉移及癌症引起惡體質影響。 方式:使用肺癌細胞A549和H1299及正常的肺細胞HEL299進行WST-8試驗,測試Soyasaponin I 對三種細胞的存活率影響,用螢光試驗及免疫染色確認死亡方式,用Western blot及免疫螢光染色測試Soyasaponin I 對p-NF-κB入核的效果,進行boyden chamber模型測試Soyasaponin I 對於A549和H1299的侵犯速度的作用,並使用ELISA測出癌症引起惡體質的細胞分泌的IL-6細胞激素濃度。為了研究Soyasaponin I對於cachexia (惡體質)的影響,我們以人類脂肪組織利用原始培養出脂肪細胞,加入Soyasaponin I於脂肪細胞,以免疫染色研究。 成果:在細胞存活實驗發現高濃度Soyasaponin I 的濃度以細胞自噬引發癌細胞死亡,且不傷害正常肺部細胞,另外低濃度的Soyasaponin I 則使兩種肺癌細胞的突觸皆縮短及細胞變圓形;用Western blotting 證明Soyasaponin I 治療後mesenchymal的標記 (N-cadherin)明顯減少,而epithelial 的標記 (E-cadherin)明顯增加,接著在boyden chamber模型發現Soyasaponin I 會引發肺癌細胞發生間質-上皮細胞轉型,轉換成爬行較慢的上皮細胞型細胞; Soyasaponin I 減少肺癌細胞IL-6的分泌,抑制發炎。用免疫組織染色證明Soyasaponin I 治療後,原始培養脂肪細胞的惡體質標記 (UCP-1)明顯減少,減少棕色脂肪細胞形成,減少能量消耗及惡體質發生。

好「鉀」的溶液-鉀離子濃度的偵測

嗜廢水者為「菌」解-高氨氮廢水於微生物電池的應用,及其裝置之探討

目前所發展之微生物燃料電池,不僅成本極高,多數皆直接使用河水、汙水中之微生物,多為雜菌,且所分解者多為一般河川、家庭廢水。而生活中,高氨氮廢水的處理成本較高,一般微生物亦較不易於高氨氮環境中生存。本實驗先篩選出可在高氨氮環境中生存之專一性菌種,以高氨氮生活廢水為分解對象,應用於微生物燃料電池,找出發電效果最佳之菌株,既可分解廢水又可發電,兼具環保與經濟價值。 本研究先以高氨氮培養基仿效高氨氮生活廢水,篩出合適菌種並作用於電池裝置,探討菌種、菌量、陰陽極面積大小、兩極間距、養分多寡/種類、環境明暗等變因之影響,最後以高氨氮廢水取代培養基進行實驗。微生物電池由第一代、第二代,終發展出材料取得容易、成本低、內電阻低、電壓穩定、可間歇式放電之第三代微生物電池,實用價值極高。

螂吞虎嚥-探討嗅覺及味覺刺激對蜚蠊口器、唾腺及砂囊的影響

本研究以不同濃度各種溶液作為嗅覺與味覺刺激,探討人體與蜚蠊的辨識率與口器反應,發現蜚蠊口器的嗅覺受器極為敏感,大致呈現劑量效應(dose response)趨勢,且可偵測人體無法辨識之揮發性極低的物質,且具熱量之營養物質可增強口器的反射行為。此外,利用記錄組織電位變化的方式,我們發現餵食蔗糖溶液時,蜚蠊唾腺放電反應減弱,推測蔗糖會抑制唾腺分泌水樣唾液,避免稀釋酵素濃度影響消化分解;餵食麩胺酸及醋酸溶液時,唾腺放電反應增強,推測其會引發唾腺分泌水樣唾液,稀釋過高濃度的溶液。而餵食蔗糖溶液時,蜚蠊砂囊放電反應減弱,推測蔗糖會抑制砂囊肌肉收縮;餵食麩胺酸溶液時,蜚蠊砂囊放電則增加,推測麩胺酸會增加砂囊肌肉收縮,以利磨碎食物。