We study the unwheeled rational Kontsevich integral of torus knots. We give a precise formula for these invariants up to loop degree 3 and show that they appear as colorings of simple diagrams. We show that they behave under cyclic branched coverings in a very simple way. Our proof is combinatorial: it uses the results of Wheels and Wheelings and new decorations of diagrams.

Many spiders, and in particular those in the genus Argiope, spin highly visible web decorations whose function and significance are the subject of spirited debate. In this work, we present data to address two of the competing hypotheses that fuel this controversy. In particular, we examine the relationship between the presence of web decorations and spider survivorship (predator-protection hypo...

monosomy 21 is a rare chromosomal abnormality which is persented in mosaic or homogenous forms.the latter form which is very rare,is determined by intra uterin growth retardation)IUGR),failure to thrive (FTT),prominent craniofacial,skeletal deformities and differnt degrees of delay in psychomotor activities.we report an eight years old boy who was admitted in pediatric ward(hospital No 1 of Ker...

due to avoiding utilization of human figures and abstaining from idolatry, decorations have specific geometry in islamic art and architecture. one of the striking characteristics of the knots (girih) that has caused to dynamicity throughout its thousand-year history is its regeneration and diversification of the diverse geometric properties. girih tiling decoration is part of geometric arts in ...

abstract sun was always in special place among iran and world myths that can be know as the eldest station for worshiping sun, cross or swastika is the most common face which has been turned to capital for the craftsmen and artists of the various eras in order to decorate handicrafts beside other various images of sun.  this   epidiascope is one of the eldest ancient epidiascope and it can be s...