Designing Binary Trees

Vincent J. Matsko ()
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Vincent J. Matsko: Independent Scholar

Chapter 5 in Handbook of the Mathematics of the Arts and Sciences, 2021, pp 105-122 from Springer

Abstract: Abstract Binary trees are usually defined so that left and right branches are determined by scaled rotations. However, when arbitrary affine transformations are allowed, a wide variety of trees may be produced. By varying parameters in the transformations, it is possible to produce trees with interesting geometrical properties. This paper explores the inverse problem: if it desired that a tree is to possess a specific geometrical property, find out which pairs of left/right branching transformations produce trees with this property.

Keywords: Binary trees; Fractal binary trees; Applications of linear transformations (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/978-3-319-57072-3_131

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