Discovery of A Geo-Geometric Wonder of the World: The Peak-Harbour Layout of HKSAR with Redefining the Western Boundary of Victoria Harbour of HKSAR

Abstract

Hong Kong Special Administration Region of China, HKSAR, consists of HK Island (represented by Victoria Peak), Kowloon and New Territories, (i.e. N. T., represented by Lion Rock), Lantau Island (represented by Lantau Peak, or Phoenix Peak- translation of the Chinese name) , Victoria Harbour, ( bounded by Lei Yue Mun Pass to the East, and The West Boundary joining Tsing Yi Island , HK Island , and Ting Kau of N. T.) and some other islands and sea regions. Four straight lines joining the highest natural points of Victoria Peak, Lion Rock, Lautau Peak [i.e. Phoenix Peak], and one point at the Existing Eastern Boundary Line and another point at the Proposed Western Boundary Line of Victoria Harbour, will form a world-iconic Six-Point Four-Line Geometric figure. The sixth point is the intersecting point of two of the four geometric lines, and this sixth point coincides with the central position of the existing International Commerce Centre at West Kowloon, which is the tallest building in HKSAR. Applying Menelaus' Theorem directly, an established Euclidian Plane geometric theorem, will result in obtaining “1” on multiplication of ratios of the map distances between the Peaks, the two points at East and West boundaries of Victoria Harbour, and International Commerce Centre at West Kowloon, provided the existing western boundary is shifted from its existing location at central-south of Tsing Island to the South-western end of Tsing Yi Island, joining to Green island, as proposed in this paper, resulting in a slight expansion of Victoria Harbour. Using all the same six points as above and adding two more lines which intersect, a Seven-Point Six-line geometric figure is formed. Applying Ceva’s Theorem to this geometric figure, which is also an established Euclidian Plane geometric theorem, will also result in obtaining “1” on multiplication of ratios of the map distances. Thus the two theorems will produce Two “1”s, hence Double-One, world legacy for HKSAR in physical geo-geometric sense. This “Double-One” discovery will be accomplished, if the Western Boundary of Victoria Harbour is shifted to touch onto the South-Western end of Tsing Yi Island, by expanding the coverage of Victoria Harbour westward, and hence protecting a larger harbour. While mountains and peaks exist in nature without human intervention to define their height, the harbour boundary lines are artificially determined. Attaining world-iconic Geo-Geometric records, and simultaneously protecting a slightly expanded harbour, contributing to world mathematical education and geographical studies, and boosting local and international tourism on actual site visits to HKSAR or via internet, are overriding reasons for Redefining the Western Boundary of Victoria Harbour.