An explicit method to compute algebraic equations of curves constant width and Zindler generated by a family middle hedgehogs is given thanks property Chebyshev polynomials. This extends the methodology used Rabinowitz Martinez-Maure in particular generate full equations, both curves, defined trigonometric polynomials as support functions.

the study area is situated in the middle part of the tabas block. it contains outcrops of rocks that formed along longitudinal faults in early cimmerian orogenic phase. the basin subsided along these faults from the late triassic to early cretaceous, which include two sedimentary cycles. a sedimentary cycle, related to upper triassic to bajocian is known as shemshak group. another sedimentary c...

in this paper we intend to generate some set of optimal trajectories according to the number of control points has been applied for parameterizing those using b-spline curves. the trajectories are used to generate an optimal locomotion gait in a crawling worm-like robot. due to gait design considerations it is desired to minimize the required torques in a cycle of gait. similar to caterpillars,...