I'll agree it's pretty, and irrefutably symmetrical, but I'm reminded of an old saw: If you have an infinite number of chimpanzees and an infinite number of typewriters, eventually you're going to find a Shakespeare sonnet amongst the infinitely large stack of incomprehensible scrabble. You are free to disagree, but if Lower and Middle Palaeolithic archaeologists ever see fit to acknowledge the full range of bifacially flaked pieces in their assemblages this most symmetrical handax EVER, would be seen for what it is--a one in a million fluke.
To illustrate a point [cough] that I've made before, I spent about a half-hour this morning Googling images using terms such as Acheulean handax, cleaver, pick and discoid, which if memory serves are the four official categories of Lower Palaeolithic bifaces. Half an hour! Imagine what I could show you if I had some serious time to examine every biface that ever came out of a Lower Palaeolithic site. You can see a smallish version of the collage below. If you'd care to see it a bit larger, just go here.
There are at least three kinds of variability in evidence. First is likely due to the raw material. Quartzite [thanks, IainS] doesn't release nice little flakes, so you end up with something that looks like the one shown at the middle of the right hand edge of the above array. On the other hand, micro- or cryptocrystalline material is more amenable to large and small flake removals. So you tend to see the kind of morphology exhibited in the centre left, where if you focus on the hand resting on a table you'll see the difference a fine-grained material makes. You'll also see the second kind of variability that's illustrated here--overall size. The four bifaces in this image range from palm sized to clipboard-sized dimensions. Just to show you how ridiculous this typology is, have a look at another artifact from the Kathu Pan area.
Look at the size of it! Not even as long as a ball-point pen! And don't get any ideas about it's being a 'point' because it's about as thick ventro-dorsally as it is wide from margin to margin. The wonder of it all is that no one seems to care! No one seems to notice that some of these so-called handaxes are almost too big to heft, much less wield effectively as a cutting tool. Check out the guy up above, middle right near the top. He's demonstrating exactly why the idea that any of these bifaces are finished artifacts is a laughable myth. Come on, people!
The third kind of variability about which archaeologists are in desperate need of acknowledging is the abundance of different shapes that Lower Palaeolithic bifaces can take. Don't, please, let the old four-fold classification colour your perception. When, for instance, Louis Leakey showed up in National Geographic in the 1960s he had to give the rocks he'd found some kind of function that you and I could apprehend, and so he called some picks, some cleavers, some discoids, and some handaxes. I think you'd have to be blind or simply obstructionist to view the variability that's in evidence above as anything other than an expression of the continuous variability of Lower Palaeolithic bifaces from 'amorphous lump' to the shining example from Kathu Pan.
Face it! Are all of those shapes the result of mental templates in the Palaeolithic hominids' heads? You must be joking! If you persist in thinking that way, then you'll want to come up with something better than the four-fold classification with which we've all 'grown up.' Nothing short of several dozen nomina would do to describe half the variability in evidence here. And don't waste my time trying to tell me that the ones that don't fall neatly into the handax, cleaver, pick and discoid classes fail because they were imperfectly made. If you think that, you'll want to rethink the idea of a mental template, since the only seemingly constant amongst all of the above is that they exhibit flake removals on both faces. They're BIFACES, fer gawd's sake!
The only thing that distinguishes one from another is planted firmly in the mind of the thoroughly indoctrinated archaeologists who perpetuate this farce of a classification system. What, pray tell, would one do with the one that's one frame in from the left edge about half way down? It looks like nothing so much as a flaccid penis! What about the one that looks like a sawfish bill, second row from the top, three in from the right? And look at the size of it! It's like half a metre long! I think it's time for a fifth category--chain saw! For reals? For reals.
GIVE ME AN EFFING BREAK!
Get over it.