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Titlebook: Concepts & Images; Visual Mathematics Arthur L. Loeb Book 1993 Springer Science+Business Media New York 1993 design.mathematics.synergetics

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https://doi.org/10.1007/BFb0045205 has its rondeau, ballad, virelai and sonnet, so spatial structures, whether crystalline, architectural or choreographic, have their grammar, which consists of such parameters as symmetry, proportion, connectivity, valency, stability. Space is not a passive vacuum; it has properties which constrain
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Photosynthesis and Sucrose Production,t overlap or spaces in between is said to be ., a term derived from the Greek word ., or tessera, a tile. Principally, we shall concern ourselves here with the problem of covering a plane with mutually identical tiles; in Chapter XX we shall deal with a particular . of tiles.
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Topics in Dietary Fiber Researchers (Figure 4-1). Furthermore, we generated a two-dimensional array of four distinct types of two-fold rotocenters by postulating a two-fold rotocenter off the row of two-fold rotocenters already generated (Figure 3-8). The question which we are to address here is what would happen if we placed a th
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https://doi.org/10.1007/978-3-0348-5416-0 Diophantes of Alexandria, who is presumed to have discovered them. In general, all variables in such an equation are to be rational; in our case they are integers. Although in general one cannot solve a single equation in three variables, the restriction that the variables be integers limits us to
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Countable Almost Rigid Heyting Algebrasverlap each other completely by rotation in the plane; one needs to be flipped over out of the plane to be brought into coincidence with its neighbor. The operations which we have considered so far, rotation and translation, do not relate motifs which need to be flipped over to be brought into coinc
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Unions of Perfect Matchings in Cubic Graphsions. Figure 10-2 shows a hexagonal tessellation in which pairs of opposite edges of each tile are mutually parallel and of equal length. The angles α and . occur twice in each hexagon; since the angles of a hexagon add up to 720°, the two remaining angles are 360° - α - ..
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Topics in Dynamic Model Analysis, which are specific to the particular system under consideration, such as interest rate, amounts of reagents, half-lives, etc. We can scale the variables in equation (17-5) as follows. Instead of . we shall define a variable . which equals +1 when . = ., and which equals −1 when . = .; its aymptoti
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