## Unproved Conjectures

The problems below are either problems that I've not yet managed to solve or ones that I've not had much time to work on. It is hoped that by sharing them here, others may become interested in solving some of these.

*Cyclic Quadrilateral Conjecture*

*Nested
Fermat Quadrilaterals Conjecture*

Prove that the results at *Parallelo-hexagon Areas* are also true for crossed parallelo-hexagons.

*Sandor Szanto's Conjectures *with respect to my *generalization of Neuberg's theorem and the Miquel line *

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If anyone visiting here manages to prove or refute
any of the conjectures above, please let me know so as to update its status. It may also be that they are not original and already appear in some journal or book somewhere - such references would be appreciated.

Updated, Michael de
Villiers, 16 July 2011.