Individual variability of linear dimensions, mass (weight), shape, external structure, structure of the superficial vascular network of the human cerebellum and structure of the white matter of cerebellar vermis (arbor vitae) were investigated. Their range and patterns were established. The obtained data can be used as standard criteria for sectional and clinical investigations of the cerebellum. The age dynamics of the mass of the cerebellum was specified. It was shown that the period of relative stability in men lasts up to 50 years, and in women - up to 70 years. The interrelation between the mass of the cerebellum and the size and shape of the cerebral part of the skull, length of the body and Rees-Eysenck Body Index were specified. It was founded, that sex differences in the mass of the cerebellum are dynamic. They change with age due to unequal age dynamics in men and women. They depend on the length of the body and the size of the skull: these differences increase with increasing of the body length and increasing of the size of the skull. Paired ratios of linear dimensions were proposed as quantitative criteria for the shape of the cerebellum; ranges of their variability were determined; different variants of the shape of the cerebellum were distinguished depending on the size of them. The surface structure and typical external signs of the cerebella with different shape was defined. The regularities of the variability of the shape of the cerebellum have been studied. It was shown that the shape of the cerebellum is an independent vector of the individual anatomical variability of the cerebellum. Fractal analysis was first used to quantify the structure of the human cerebellum superficial vascular network. The range (1,036~1,816) and average value of the fractal index [1,52±0,01 (M±m)] were determined. A classification based on the magnitude of the fractal index was proposed. The intermediate type corresponds to the values of the fractal index from 1,421 to 1,619 (M±S), trunking - up to 1,420 and loose - more than 1,620. Fractal index depends on the mass and shape of the cerebellum. New data on the structure of the white matter of the human cerebellar vermis were obtained. Eight branches of white matter form lobules of the cerebellar vermis. Their terminology was proposed. The structure of the white matter of vermian lobules was investigated. Variants and patterns of individual variability were described. The 1st, 2nd and 3rd branches form lobules I-III respectively, 4th - lobules IV-V, 5th - lobules VI-VII, 6th - lobule VIII, 7th - lobule IX, 8th branch - lobule X. Trunks of white matter common for the two (3rd and 4th; 5th and 6th; 6th and 7th) or three (5th, 6th, and 7th) branches were described. The 5th, 6th and 7th branches can begin either directly from the corpus medullare cerebelli, or from white matter trunk common to two or three branches, or from a white matter trunks common to the two branches, which, in turn, begins from the white matter trunk, common for three branches. As a result, the number of branches varies from 5 to 8. The fractal analysis was used to quantify the branching of the human cerebellum vermis white matter. Range (1,196~1,486) and average values (M±m) of the fractal index were determined for hole vermis (1,372±0,006) and its parts. The main regularities of the fractal index of white matter were the dependence on age and absence of sex differences.
