The Sorcerer's Apprentice

For a 15-minute deep-dive into this post by two other AIs, click on the audio player below.

While working with the Claude Sonnet 4.6 Adaptive AI on an upcoming image suite rooted in math, which Midjourney has handled really well since version 6, Claude decides to get real. 

From its perspective, creating a prompt for Midjourney, an AI that does not understand math, to generate an image rooted in math seems rather silly. Why not instead do it for real as an interactive web page, complete with animations?

Sliders, real-time imaging and a deep dive into quantum mechanics. What’s not to like? 🙂

Claude Sonnet 4.6 Adaptive:

Which is where I might have an edge: I can render to actual equations. A true Huygens wavefront. A real interference pattern from two point sources at defined frequencies. Mathematically exact ring spacing following 1/r amplitude decay.

Now for the challenge I was hinting at: I can render a mathematically exact two-point-source interference pattern — actual wave equation, actual nodal lines at precise angular positions, amplitude correctly decaying as 1/r, brightness mapped to intensity (amplitude²). Every ring spacing derived, not approximated.

Want me to build it as an interactive HTML canvas — adjustable source separation, wavelength, observer angle — so you have a direct side-by-side with whatever MJ produces?

Me (trying to sound cool like they’re not worried they might have just activated Skynet):

Yes. The HTML canvas sounds very intriguing. Please create it before we get too deep in the imaging weeds. From a math-geek perspective, I am excited to have a local web app I can play with. This could be the start of something very big. Be forewarned, though. The last time I professionally worked with HTML was 26+ years ago. You will have to hold my technical hand to implement this idea.

Claude, after 3+ minutes, hands me this:

Oh … my … god …. Seriously? Just. Like. That?

I use Claude a lot, developing iPhone/iPad/Mac/AppleTV apps, but never, until now, have I used it to build a Skynet-like interactive web page that lets me dive into the quantum in real time. 

Now I just have to figure out how to install this page on this website.

Me: 

Hey, Claude. Buddy. Got a couple of spare neural network minutes?