After we compiled the photographs that we took in Singapore, we thought it may be interesting to look at our photo albums and see if we could see any mathematical patterns that have escaped us previously. We managed to dig out some interesting mathematical finds from photographs taken during our overseas trips.
The above photographs were of the Musee de Louvre in Paris, France. The glass pyramid in the left photograph, which is the main entrance to the Louvre, is actually a square pyramid formed by rhombic pieces of glass tiled on the four triangular planes. The glass pyramid in the right photograph is similarly a square pyramid formed by rhombic pieces of glass. One is reminded of the photographs taken at the Esplanade - Theatres on the Bay
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The photograph on the left shows a lantern at the Meiji Jingu, or the Meiji Shrine in Tokyo, Japan. The object of interest is the chrysanthemum motif on the lantern. There are sixteen petals in the motif, and when one joins the tips of the petals, one will obtain a sixteen-gon, or a hexadecagon. |
| The photograph on the right is the clock tower of the Shanghai Art Museum. Similar to the Victoria Concert Hall in Singapore, there is a polygram inscribed in the face of the clock. What is different is that there are two tiers of the octagram. The inner octagram is formed by eight rhombi, while the outer octagram is formed by the addition of eight more rhombi to the inner octagram. |  |
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The murals on the walls of Dubai International Airport , as seen on the left,
contain very rich mathematical ideas. Some of these were extruded and enlarged below.
For example, one may see the floor pattern of The Fullerton, Singapore in the photograph on the bottom left, which is of p4mm symmetry. In the bottom middle photograph, one may observe a (4, 82) Archimedian tiling if one simplifies the disparate forms into octagons and squares. In the bottom right photograph, the spaces framed by the blue rail are of octagrams, or eight-legged stars. | ||
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