Your notes … Forgive me for looking. But the references to a parabola are intriguing — I heard the word from a snake the reflection of a nephrite lens transformed into, and had no idea what to make of it, except that it may have to do with symmetry, with mirror-images. And Narciso has told me that in his dreams parabola is a place; perhaps it’s the place ‘behind the mirror’ some denizens of Fallen London have spoken of?
That’s all… very intriguing, Theodor. Very intriguing indeed. I had most of my dream memories wiped out during my stay at the Royal Bethlehem and have been laboriously retracing them ever since….
A parabola is a symmetry, which can be described mathematically, as I’ve done here in the Cartesian equation. If you divide any arc in half you see this — what is on one side of the division (or directrix) is a mirror image to what is on the other. An “axis of symmetry,” if you will.
If the mirrors in our dreams are that division, the directrix… then what is on the other side of the mirror is symmetrically equal to what is on this side. Only because it’s a mirror, it would figure itself in reverse.
In reverse. This… has connotations which should drive us both straight into the laudanum bottle, my dear friend.