Heh - are you ready for this? I thought this might have been Bear, but he capitalizes. It's been so long since I've taken or used any higher level math that this doesn't resonate as much with me as it might have once upon a time, but neither is it as confusing and the formulas scrawled in "A Beautiful Mind", so there's that.
I'm not a big math fan, so I really didn't get this challenge on so many levels. Moving onward, I think this is a lovely image portraying darkness and light.
Wow a stunning shot. I really like this one. Simplistic beauty. The Pi thing, well it's there but not a bam in your face representation. I like the curves and the way the shrub/tree seems to be out stretching for the sun.
Okay, normally, I offer what I think to be compositional and technical ideas to help a photographer do "better" with regards to dpc challenges. "Knowing" you though, I already know that you "know" the rules, you simply "apply" them in different ways. Also, unless I am sorely mistaken, you do not shoot for a score, but rather a reaction. So, I am going to give you my 'reaction' on a more emotional level than a technical reaction. If this is not satisfactory, please PM, and I will amend it. But, I have ot say, without the title, I would have been left scratching my head. :)
This shot reminds me of this year's transition from winter (the bare branches) to summer (the sunshine) without the wonderful season of spring (a few buds, but nothing substantial -- as if it doesn't even exist). It is a desolate feeling, but a shallow desolate feeling, if such a thing can exist, simply because the sunshine, be it a sunset or sunrise, seems to be a symbol of better things to come. Everything must come to an end, but in that, new things can begin. It is a photograph that portrays change, both with its hope of what is to come and reluctance to turn loose of what is. It is reaching to a new height, regardless of what might be holding you to the ground.
Hmmm... and this picture relates to Pi ....how? The picture itself is a grand one. I love silhouette shots, but I don't understand why it is here. Sorry. (5)
It took a lot of thought to figure out the pi relationship, then finally figured it out in the caption. I'm not sure if the diameter is the branch or cloud. More definition in the circumference of the sun would help.