Blessed by the four elements The Indian stone temple also included, in its architectural form, the means for being blessed by the four elements—earth, wind, water, fire. Before entering the temple gates, one removed one's shoes to touch and be blessed by the earth. Then upon passing through the temple gateway, one is blessed by the air with a gust of wind. A blessing by water is obtained by bathing in the temple tank, or at least descending its steps to touch the water. Finally, on entering the cool interior of the sanctuary, the worshipper is given a mark on the forehead with ashes taken from a sacred flame by an attendant priest. Even this blessing by fire has a slight cooling sensation to it. Perhaps it is only coincidental that each of these four blessings is associated with a cooling sensation; and yet, the use of forms and materials that inevitably create coolness is quite remarkable. Lisa Heschong, Thermal Delight in Architecture Avatar: The Last AirbenderThe Legend of KorraA hierarchical system of sense elements
A hierarchical system of sense During the Renaissance, the five senses were understood to form a hierarchical system from the highest sense of vision down to touch. Vision was correlated to fire and light, hearing to air, smell to vapour, taste to water, and touch to earth. Juhani Pallasmaa, The Eyes of the Skin: Architecture and the Senses Avatar: The Last AirbenderPrometheusBlessed by the four elements fireelementssenses
Avatar: The Last Airbender A Series The Legend of KorraBlessed by the four elementsA hierarchical system of sense spiritelements
The Legend of Korra A Series If you look for the lightWhen we hit our lowest point Avatar: The Last AirbenderBlessed by the four elements spiritelements
Wang tiles Wang tiles (Hao Wang, 1961) are a class of formal systems. They are modelled visually by square tiles with a color on each side. A set of such tiles is selected, and copies of the tiles are arranged side by side with matching colors, without rotating or reflecting them. The basic question about a set of Wang tiles is whether it can tile the plane or not, i.e., whether an entire infinite plane can be filled this way. The next question is whether this can be done in a periodic pattern. In 1966, Wang's student Robert Berger solved the problem in the negative. He proved that no algorithm for the problem can exist, by showing how to translate any Turing machine into a set of Wang tiles that tiles the plane if and only if the Turing machine does not halt. The undecidability of the halting problem then implies the undecidability of Wang's tiling problem. Wikipedia en.wikipedia.org Truchet TilesThe Tiling Patterns of Sebastien Truchet and the Topology of Structural Hierarchy mathalgorithms