a) When h is convex, the conics are ellipses, when not, they are hyperbolas.

b) For every point P on c2, the Poncelet conic c(P) tangent to c1 is symmetric too.

c) Is there a homography mapping the corresponding in/circum-scribed of the

d) When are the two conics c1, c2 homothetic w.r. to D ? Is it true that sqrt(3)/2 is the only possible homothety ratio? (the answer is yes)

The second example below shows that the [conic hexagons] have also the in/circum-conics, and that these conics are homothetic. For these hexagons it is also interesting to know when they are symmetric.

(*) A simple proof: show that the matrix with rows the expressions {x

For a further study of special symmetric hexagons look at the file: Symmetric_Hexagons_Special.html .

Symmetric_Hexagons_Special.html

HexagonsSymmetricRepeat.html

Poncelet.html

Symmetric_hexagons_All.html

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