本研究從第46屆全國科展「滾滾紅成」延伸，以立體圖形為研究方向，試以「立體一筆畫」方式將兩個多面體互繞，將其中一個不動的多面體作為基準多面體，另一個多面體則沿著基準多面體的邊繞行基準多面體的面，最後繞回起始面，且繞行路徑不重複經過基準多面體的同一面，發現正多面體在接觸面相同時可立體一筆畫互繞詳盡證明之。另外，探討其繞法種類，其中正四繞正四面體為6種；正六繞正六面體為32種…等，接著求出環繞後的不同旋轉點其對應之旋轉中心變化、對應旋轉半徑、旋轉軌跡圖形及總旋轉軌跡長，其正m面體繞正n面體旋轉角度公式為360∘-[cos-1(1-(1-cosα)/sin2α)]-[cos-1(1-(1-cosβ)/sin2β)] ，並將研究結果應用至演唱會或KTV中的燈光設計及建築節能省電裝置。

研究發現農塘會變成泥塘，主要是北、東和西邊的地層都非常不穩定，地形陡峭，高度往湖裡遞減，泥岩邊坡的紋溝和泥裂發達，還有小斷層，特別容易發生泥流。農塘西邊山頂的厚層砂岩就有許多蜘蛛網狀的構造，是小斷層的證據。 西邊山頂的厚層砂岩在風化後，由小溪流流到牛埔農塘和埤底溝，因泥砂顆粒稍大，是屬於砂質泥岩，造成的個別泥裂面積也比較大，但泥裂最大深度並不超過1公尺，泥裂下為沒乾的泥漿，計算後發現飽和的泥漿含水量約有17座游泳池。另外，鹽度並不影響泥裂，但影響含水量。泥塘雖沒有土壤液化的潛能，但表層比較粉砂質的泥岩震動後會發生液化。很少見的泥裂崩塌，因受重力的影響，下面的泥漿也出現爆漿的奇妙現象。

Double Parallelogram Lifting Mechanism (DPLM) is a compact and stable lifting mechanism with a large extension range widely adopted in robot designs. Rubber bands and springs are often installed on the DPLM to lighten the motors' load and maintain its height, yet the installation positions are often obtained through trial and error. This project aims at finding the optimal rubber band installation positions for DPLM using modeling and optimization techniques. A mathematical model which describes the forces and moments acting on all the linkages of DPLM was derived based on the conditions for the static equilibrium and verified with a 3D simulation software. A genetic algorithm (GA) was implemented to optimize rubber band installation positions, which managed to find solutions with the overall root-mean-square- error (RMSE) of the net moment less than 2 for 2 to 6 rubber bands. A further statistical analysis of 50000 random rubber band samples showed that installing rubber bands in triangles is the best solution with the overall lowest RMSE. A test was conducted with a prototype of the DPLM and the results were consistent with our model and optimization. This project derived and verified a mathematical model for the DPLM, and found the optimal way and positions to install rubber bands. The results of this project provides a theoretical basis for controlling DPLM with rubber bands, allowing it to be further adopted in industrial robots that require repetitive lifting and lowering such as inspection robots and aerial work platforms.

People have become accustomed to single-use plastics. These are plastics that are used once only and are then thrown away or recycled. A piece of plastic can only be recycled 2-3 times before it is of bad quality and can no longer be of use. (Achyut K. Panda, 2019). Plastic waste fills up landfills and oceans, becoming hazardous and harmful to wildlife, while emitting greenhouse gasses. Alternatives, such as metal straws and paper bags have turned out inefficient and plastic is still a great need in society. Another way of getting rid of waste plastic is to burn it. Fossil fuels such as coal and natural gas are being utilised to burn plastic in industry. This causes many harmful emissions, such as carbon dioxide and carbon monoxide released from burning the plastic. It results in more damage being done than just leaving the plastic in a landfill. These emissions can be cleaned before being released into the atmosphere. Plastic is made of petroleum, so when it is burned it is converted back into a fuel. Plastic can be burned under controlled conditions to create a fuel source that can be used, thereby utilising the waste plastic. The research conducted aims to investigate the use of plastic waste to burn other plastic to create a renewable fuel source and to eliminate plastic waste.

本研究是以台灣學者開發之銠金屬催化劑與Benzocyclobutenol和Cyclodienenone進行不對稱加成反應作為實驗目標，利用不同的溶劑在不同溫度下進行反應，探討產物的衍生物產率和鏡像超越值的差異。 首先，尋找出一個最佳反應條件，改變濃度、溫度、比例等變因並優化反應。接著嘗試改變Cyclodienenone上的官能基組合，觀察其對反應造成的影響並探討，及測試此銠金屬催化劑對不同官能基的容忍性，增加其官能基廣度。 實驗結果顯示，大部分反應條件產率可達60%以上，光學選擇性e.e.超過 90%。未來希望能將此銠金屬催化反應應用於不對稱藥物合成，成為一個合成高光學選擇性和高光學活性產物的方法，達到省時、省錢及高效之目的。

本研究探討不同結構補強建築物的抗震能力與不同基礎建築物的抗土壤液化能力，最後合併出最能夠抗震及抗土壤液化的建築物型式。 我們測試地面以上不同結構補強的建築物以及地面以下不同的基礎，並將不同結構補強搭配不同基礎，分別測試其抗震及抗土壤液化能力。 本研究主要發現: 一、 單斜撐結構補強的抗震能力比加裝阻尼球好。 二、 樁基礎的抗土壤液化能力優於筏式基礎。 三、 單斜撐搭配樁基礎的建築物抗震效果較佳。 四、 使用砂石改善土壤，能使筏式基礎建築物提升抗震效果。

本實驗主要是探討孑孓及植物在不同濃度的酸鹼性溶液下存活的情形。根據網路資料得知孑孓適合生存在中性偏鹼的水域環境，除了實驗求證之外，進階研究植物可否也適合生 存在中性偏鹼的水域環境下？以此推論在生活中若能利用一定濃度的水溶液，不僅可以消滅孑孓，又能讓植物頭好壯壯，生活中多了份期待，豈不快哉？ 此實驗從調查孑孓喜歡出現的地點及其所適應之水域的酸鹼值(ph值)及鹽度外，並以平常容易取得的食鹽、醋、糖、汽水、蘇打粉、肥皂粉來操作不同濃度的酸鹼溶液，分別調製不同濃度的酸鹼溶液為水域環境後，利用試管培養，觀察孑孓與植物在不同濃度的酸鹼溶液下存活與生長的情形？以此找出可以狙殺孑孓存活又不影響植物生長的最佳水域環境。

自由落體是什麼？對我們學生來說是抽象的單元，透過這次研究，利用不同的積木組合，設計出最穩定的架構，學習程式語言與機器溝通，讓程式為我們簡化人為運算過程，算出最精準的重力加速度，驗證課本所敘述內容，深切了解重力加速的意義。本機器經過實際物體落下測量出時間，準確測量出物體的重力加速度。透過數據的紀錄，可以比較出不同物體間重力加速度其實是不同的，愈重的物體愈不易受到空氣各項阻力的影響，了解更多課本以外的內容。

把 個箱子依序編號後排成一排，接著把 顆球也依序編號，這樣一來每個球都有相對應的箱子可以放入。如果今天我們隨意的將球放置在箱子裡，再觀察球跟箱子的編號是否一致，我們可以發現到三種情形： 第一種：每顆球剛好都放進所對應號碼的箱子 第二種：有些球剛好放進所對應號碼的箱子，而有些沒有 第三種：每顆球皆沒有放進所對應號碼的箱子 除了第一種之外，其他兩種有很多種排列的方法數，在考量到排列總數量或是錯誤排列個數這兩個變因後，最後我們得出一個關係式為f(n,t)×Πk=n+x-t-y+1n+xk/Πk=n-t+1nk×Σk=2t+y[(-1)k×1/k!]/Σk=2t[(-1)k×1/k!]=f(n+x, t+y) ，其中n, t, x, y ϵΝ且n≧t>1、n+x≧t+y>1

高溫超導釔鋇銅氧(Yttrium barium copper oxide，YBa2Cu3O7-δ，YBCO)於1987年由科學家朱經武、吳茂昆、和趙忠賢共同發現，其重要性是首次除了突破了液態氮的「溫度壁壘」，亦即以液態氮取代以往以液態氦的方式降溫以外，另外我們還發現生活中要取得氧化釔(Y2O3)、碳酸鋇(BaCO3)、及氧化銅(CuO)並不難，這使得造價相較起來大幅降低。本研究嘗試將YBCO的反磁性結合發光二極體使顯示器不再只是固定在一平面上。實驗找出釔鋇銅氧的磁懸浮乘載力關係圖、如何從封裝中剝離LED晶粒、以及取出內嵌式電路板(Integrated Circuit, IC)中的晶片，藉此若能將三者和一將能使飄浮顯示器的可能性提高。

本研究分析位於台灣西南部東經120.5度、北緯21.7度地震群。數據顯示在1994-2017年6月間，於20-70公里深度處頻繁地出現地震，並且規模4.0以上的中大型地震好發於40km左右。資料顯示此地區地震發生和向西傾斜的張裂及走向滑移斷層關係密切，為說明聚合性板塊交界此種非聚合型低角度斷層的地震群的發生，我們利用一些模擬實驗和假設模型，解釋地震發生的空間規則，可能和板塊隱沒時應力施於交界處附近，使應力易累積於弱下部地殼與強上部地殼交界處有關，此模型在地震個數隨深度的分布與應力累積的空間分布均得到很好的證實。

This is the self-driving and navigating vehicle which follows a track. This robot is made by our group. We made this robot together assembling the parts. This robot is commonly used in industries to shift goods and product. In this robot we have arranged all the things also metal detector which buzz when a metal is detected under it. This robot helps a lot in industrial life and is also easy to make if we learn the steps. This robot also needs programming to make it work. The programming software used for it is known as Arduino IDE. This is the figure of this robot in industries. Here the people are keeping goods in the pickup and shifting them. This robot can also run in white track, only if we do the programming right for the white track. Nowadays in cars too this type of system is used like example: Tesla model X. In the car this system is used and to avoid the obstacles something named Lidar is used. To make this vehicle follow its track and the motor to run different things are used like IR Sensor, and L298N motor driver module respectively.