攜手共解圓-扭結理論之探討
此篇研究發現在任何一個結中，都可以利用「牽手順序」和「交錯點編碼」兩種結的資訊直接看出一結化簡後的圖形。利用從「Reidemeister moves」所衍伸出的四種化簡方法{α, β, γ, δ}能更有效率的簡化結，並證明只需{α, β, γ, δ}就可化簡任何結，也利用{α, β, γ, δ}來驗證HOMFLY多項式是結不變量。由圖形及結的資訊我們發現，可使用「牽手順序」和「交錯點編碼」，搭配所討論出{α, β, γ, δ}的通式，依照步驟及通式簡化任何結。 本篇最重要的成果為：只需利用{α, β, γ, δ}即可化簡所有的結，而且比Reidemeister moves更有效率，因此可用{α, β, γ, δ}取代Reidemeister moves。 不管是一個封閉曲線或是兩個以上封閉曲線，都會遵守前述的規則，可利用{α, β, γ, δ}簡化圖形。文中也討論了較特別並具有規律的結──「星星結」，發現星星結只需使用「牽手順序」即可簡化，最後利用星星結的結論，發展出牽手遊戲中特殊的牽手遊戲情形。
A STUDY ON TRADITIONAL ARCHITECTURE IN ITANAGAR CAPITAL COMPLEX AND TO IMPROVE A MODIFIED TYPOLOGY FOR A CLIMATE RESPONSIVE CONTEMPORY HOUSE
The lifestyle of the Arunachal Pradesh rural population demonstrates the example of sustainable living where bamboo plays a major role. Bamboo has its home in this tropical climate region of India. In order to understand various aspects of traditional bamboo constructions, a field visit was made to Rono, Emchi, Lekhi villages and Karsingsa, Pachin, NEEPCO areas. The paper studies the patterns affecting the housing styles of these regions, the traditional method of construction including bamboo treatments. Various parameters which are required to be considered for constructing a house are also studied. It has been found in the field survey that the utilization of bamboo is mostly in wall panels, columns, floor, door and windows. The question posed here is whether tradition houses perform better than a typical contemporary house in creating comfortable internal conditions. And if they do how it is possible for the contemporary house to benefit from the advantages presented in the design of the traditional house in terms of thermal performance. The results indicate that improved performance might be achieved by combining selected lessons from the traditional design e.g. improved shading, regional variations in window size related to orientation and adoption of adjustable ventilation and window openings.