What does a reciprocal cone look like?

Question

I know the definition of a reciprocal cone, but still I am not able to visualise it. I couldn't find by searching on Google, can anyone please help?

Answer 1

As your question is about visualization, here is a graphical answer:

with orthogonal generating lines (as can be seen on the two thicker generating lines).

Connected: https://math.stackexchange.com/q/1714646.

Answer 2

made CW: see links below........

http://math.stackexchange.com/questions/1714136/condition-for-cones-to-be-reciprocal/1714646#1714646

http://math.stackexchange.com/questions/1899004/reciprocal-cone

http://math.stackexchange.com/questions/2077228/how-can-we-factorise-a-general-second-degree-expression/2077673#2077673

http://math.stackexchange.com/questions/2151112/show-that-the-cones-ayzbxzcxy-0-and-ax1-2by1-2cz1-2-0-are/2151866#2151866