I work as a senior assistant at the Department for Mathematics and Computer Science at the University of East Sarajevo. I joined the GeoGebra team in 2011 and I play with curves.

Current tasks

• IMPLICIT CURVES (with Philipp)
  • Construct through given points - DONE
  • Translation, Rotatikon, Dilation, Reflection, Inversion - DONE
  • ClosestPoints and Distance DONE
  • Tangents DONE
  • Investigation algorithms for intersections of two implicit curves (Groebner basis, Geometric!?)
  • Asymptotes DONE
  • Maximum and Minimum
  • Nodes, Cusps, Conjugate points
  • Curvature
  • Isolated points (behavior, display), ie. (x-y)*((x-2)²+(y-3)²) = 0 - point (2,3) is missing, ((x-1)²+(y-1)²)*((x-2)²+(y-2)²)=0 is undefined
  • ...
• Turning Locus into an Implicit Equation ​http://dev.geogebra.org/trac/wiki/LocusLineEquation (with Arnaud)

BARYCENTRIC COORDINATES

• Support for barycentric coordinates and create database of triangle centers (​http://faculty.evansville.edu/ck6/encyclopedia/ETC.html) (with Zbynek) DONE
• Support for curves in barycentric coordinates and create database of them (​http://bernard.gibert.pagesperso-orange.fr/ctc.html)

Next tasks

• Non-Euclid geometries?! (maybe)
• ...

Tickets

GeoGebra 4.0 milestone tickets:

#642

Intersect[Ellipse [(3, -5), (-3, 3), 5],53x -29y + 56 = 0] slightly inaccurate

#654

y=x^2 + 10^5 x +1 crashes GeoGebra

#680

Problem with ImplicitCurve.througtPoints method

#725

Problem with intersect eg Ellipse, Cirlce

#844

Intersect[ImplicitCurve, Tangent] doesn't work

#855

File with intersection of ImplicitCurve and Line couldn't open

#858

PathParameter[implicit curve] gives 0