Geodesic
Geometry of plane trees
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 6, pp. 149-158.

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“True form” of plane trees, i.e., the geometry of sets $p^{-1}[0,1]$, where $p$ is a Chebyshev polynomial, is considered. Empiric data about true form are studied and systematized. 
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Yu. Yu. Kochetkov. Geometry of plane trees. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 6, pp. 149-158. http://geodesic.mathdoc.fr/item/FPM_2007_13_6_a8/

[4] Dremov V., Kochetkov Yu. Yu., “Geometriya derevev i abelevy integraly”, Voprosy teorii grupp i gomologicheskoi algebry, Yaroslavl, 2003, 61–74

[5] Kochetkov Yu. Yu., “O geometrii odnogo klassa ploskikh derevev”, Funkts. analiz i ego pril., 33:4 (1999), 78–81 | MR | Zbl

[6] Bétréma J., Péré D., Zvonkin A., Plane Trees and Their Shabat Polynomials. Catalog, Technical Report LaBRI No 92-75, Bordeaux, 1992

[7] Shabat G. B., Zvonkin A. K., “Plane trees and algebraic numbers”, Jerusalem Combinatorics' 93, Contemp. Math., 178, eds. H. Barcelo, G. Kalai, Amer. Math. Soc., 1994, 233–275 | MR | Zbl