Actual Measurement and Analysis on Angles Between Principal Veins of Three Major Lobes of Platanus acerifolia (Ait.) Willd
The 505 leaves collected with one leaf per plant from Platanus acerifolia (Ait.) Willd.were measured.Two new phenomena were found:Firstly,angles between principal veins of three major lobes from the plant indicated the "recessive" golden number".It was meant that golden number was showed by trigonometric function (values were 0.618 and 0.382); Secondly,angle of 60° between principal veins of three major lobes from the plant was a manifestation of taking the shortest path to transport moisture and nutrient,meanwhile this angle was a kind of the Steiner tree structure.Statistical analysis showed angles between principal veins of three major lobes of the plant containing recessive golden number were 31.72°,38.18°,51.86°and 67.55°,respectively.The amount of angles including 31.72°,38.18°,51.86° and 67.55°,were accounted for 60.69％ of all collected leaves.And the percent of angle with 60° was 34.85％ of all samples.Thus the amount of angles containing "recessive" golden number and presenting the Steiner tree structure was calculated for 95.54％ in the whole samples.The new findings of angles between principal veins of three major lobes of P.acerifolia (Ait.) Willd.are very beneficial for people to deeply understandthe plant architecture.
Platanus acerifolia (Ait.) Willd.angles between principal veinsgolden numberSteiner tree structure
NETL
NSTL
万方数据
维普
