Abstract
Triangle ABC (cf. Figure 20–1) is isosceles: AB = AC. A is called its apex, BC its base. The apex angle is less than sixty degrees. Another triangle, BCD, is constructed inside ABC, which is also isosceles and has B as its apex; the point D lies on AC. Since their base angles are the same, triangles ABC and BCD are similar. In analogy to dynamic symmetry nomenclature we shall call triangle DAB the gnomon of ABC.
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Notes
Penrose, Roger: The Role of Aesthetics in Pure and Applied Mathematics Research, J. Inst. Mathematics and Its Applications, 10, 266–271 (1974).
Gardner, Martin: Mathematical Games; Extraordinary Nonperiodic Tiling that Enriches the Theory of Tiles, Scientific American, January, 1977.
The remainder of this chapter is adapted from Loeb, A. L., and William Varney: Is There a Golden Spiral and If Not, Where Is Its Center? in Spiral Symmetry, I. Hargittai, ed. World Science Books, Singapore, 47–61 (1991).
Huntley, H. E.: The Divine Proportion. Dover, 1970.
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© 1993 Springer Science+Business Media New York
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Loeb, A.L. (1993). The Golden Triangle. In: Concepts & Images. Design Science Collection. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0343-8_20
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DOI: https://doi.org/10.1007/978-1-4612-0343-8_20
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