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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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The Coexistence of Rotocenters,found to equal ., then it will appear to assume that position 2π/. times during a complete rotation. The wheel will then be found to have (2π/.)-fold rotational symmetry; at the center of the hub there will be a (2π/.)-fold rotocenter.
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The Postulate of Closest Approach,r 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 third distinct two-fold rotocenter . the line joining the equally spaced rotocenters.
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Sigmoids and the Seventh-year Trifurcation, a Metaphor,bles in equation (17-5) as follows. Instead of . we shall define a variable . which equals +1 when . = ., and which equals −1 when . = .; its aymptotic values would be . = − 1 and . = + 1. We write . = . + . and will determine . and . such that . has the desired asymptotes:
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Tessellations and Symmetry,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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The Postulate of Closest Approach,ers (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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