The Waldspirale is a residential building complex in Darmstadt , Germany , built in the 1990s. The name translates into English as forest spiral , reflecting both the general plan of the building and the fact that it has a green roof . It was designed by Austrian artist Friedensreich Hundertwasser , planned and implemented by architect Heinz M. Springmann, and constructed by the Bauverein Darmstadt company. The building was completed in 2000.
10-463: The Waldspirale apartment building is located in Darmstadt's Bürgerparkviertel. It contains 105 apartments and a parking garage. In the past, the topmost part of the building has had restaurants, cafes and bars for people to visit. Currently, there are no open amenities for visitors. The inner courtyard contains a playground for the children of the residents and a small artificial lake. Peculiarities of
20-404: Is 1 cubic unit, and its total surface area is 6 square units. The term unit cube or unit hypercube is also used for hypercubes , or "cubes" in n -dimensional spaces , for values of n other than 3 and edge length 1. Sometimes the term "unit cube" refers in specific to the set [0, 1] of all n -tuples of numbers in the interval [0, 1]. The length of the longest diagonal of
30-537: The U-shaped building are the unique facade, which does not follow a regular grid organization, and the windows, which appear as if they were "aus der Reihe tanzen" (dancing out of line), everywhere different and appearing out of order, often with 'tree tenants' – trees growing out from the windows. The diagonal roof, planted with grass, shrubs, flowers and trees, rises like a ramp along the U-form. At its highest point,
40-552: The building has 12 floors. The windows of the Waldspirale, which number over 1000, are all unique: no two windows are the same. Similarly, different handles are attached in each apartment to the doors and windows. Some of the apartments are decorated in Friedensreich Hundertwasser's personal style and exhibit the colourful tiles in the bath and kitchen that are characteristic of his work. Furthermore, all
50-429: The corners are rounded off in these apartments along the roof and walls in an application of Hundertwasser's dogma "gegen die gerade Linie" or "against the straight line." For cost reasons, only a few of the apartments' interiors were designed individually. From the outside, the typical elements of Hundertwasser's personal style attract attention: the gilded onion domes , the absence of straight lines and sharp corners,
60-811: The derivatives of field variables can be conveniently expressed as finite differences, structured grids mainly appear in finite difference methods. Unstructured grids offer more flexibility than structured grids and hence are very useful in finite element and finite volume methods. Each cell in the grid can be addressed by index (i, j) in two dimensions or (i, j, k) in three dimensions, and each vertex has coordinates ( i ⋅ d x , j ⋅ d y ) {\displaystyle (i\cdot dx,j\cdot dy)} in 2D or ( i ⋅ d x , j ⋅ d y , k ⋅ d z ) {\displaystyle (i\cdot dx,j\cdot dy,k\cdot dz)} in 3D for some real numbers dx , dy , and dz representing
70-410: The grid spacing. A Cartesian grid is a special case where the elements are unit squares or unit cubes , and the vertices are points on the integer lattice . A rectilinear grid is a tessellation by rectangles or rectangular cuboids (also known as rectangular parallelepipeds ) that are not, in general, all congruent to each other. The cells may still be indexed by integers as above, but
80-410: The mapping from indexes to vertex coordinates is less uniform than in a regular grid. An example of a rectilinear grid that is not regular appears on logarithmic scale graph paper . A skewed grid is a tessellation of parallelograms or parallelepipeds . (If the unit lengths are all equal, it is a tessellation of rhombi or rhombohedra .) A curvilinear grid or structured grid is a grid with
90-592: The multicoloured painting of the building in earth tones and the colourful ceramic columns. 49°53′8″N 8°39′21″E / 49.88556°N 8.65583°E / 49.88556; 8.65583 Regular grid A regular grid is a tessellation of n -dimensional Euclidean space by congruent parallelotopes (e.g. bricks ). Its opposite is irregular grid . Grids of this type appear on graph paper and may be used in finite element analysis , finite volume methods , finite difference methods , and in general for discretization of parameter spaces. Since
100-416: The same combinatorial structure as a regular grid, in which the cells are quadrilaterals or [general] cuboids , rather than rectangles or rectangular cuboids. This elementary geometry -related article is a stub . You can help Misplaced Pages by expanding it . Unit cube A unit cube , more formally a cube of side 1 , is a cube whose sides are 1 unit long. The volume of a 3-dimensional unit cube
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