In a previous post and video, I introduced system prompts in Mathify.
The basic idea is simple: system prompts control the style of animations that are generated, not what animation you ask for.
You can describe the same idea in one sentence, but depending on the system prompt you choose, Mathify will approach the visualization very differently.
For example:
a proof-centric style
a 3Blue1Brown-like intuition-first style
equation-heavy layouts
3D-focused visuals
preschool / early-intuition visuals (shapes, colors, motion only)
zero-text, visual-only animations
The default Mathify system prompt works well for most use cases. But once you start working on a series of related animations, or you care about consistency and tone, more targeted system prompts become very powerful.
What’s new: remixing system prompts
The new feature I’m introducing is the ability to remix system prompts.
System prompts can now be:
public
featured by the community
copied
modified
reused as your own custom variants
Instead of starting from scratch, you can take an existing prompt that’s close to what you want and refine it.
This is especially useful because system prompts are not just “styles” in a superficial sense. They encode:
layout constraints
text rules
visual priorities
pacing
background assumptions
tradeoffs between precision and clarity
Small changes in the system prompt can lead to very different animation behavior.
Example: adapting a 1-Minute-Physics-style prompt
In the video, I walk through a concrete example.
I start with an existing system prompt inspired by the 1-Minute Physics style. It’s fast, insight-driven, and focused on making one idea click as quickly as possible.
However, I wanted to make it more faithful to the visual tone of that style, especially for short explainers:
white background
light, clean visuals
strong contrast on a bright canvas
fewer dark or heavy elements
So instead of manually rewriting everything, I:
Click Remix on the system prompt
Open the prompt editor
Ask ChatGPT to modify it toward a light, white-background theme
Paste the updated version back into Mathify
Once pasted, the system prompt autosaves. There’s no manual save step, and you can immediately reuse it.
You can then go back, read through it carefully, and tweak anything you don’t like. Every line is editable.

Mass and Acceleration
Using the remixed system prompt
After remixing the system prompt, I select it and request the same kind of animation as before.
For example:
show why doubling mass does not double acceleration
Because the system prompt has changed, the animation now:
uses a white background
adopts a lighter color palette
follows the same fast-insight pacing
stays consistent with the modified style rules
The underlying idea hasn’t changed. What changed is how Mathify chooses to express it.
This is important if you’re:
making multiple animations in the same style
working on a series or playlist
building educational content with a consistent look
experimenting with different explanatory approaches
Why this matters
System prompts are essentially high-level creative constraints.
They let you decide:
how much text is allowed
where text can appear
whether equations are central or optional
whether visuals should exaggerate effects
how fast scenes should move
what tradeoffs to make between realism and clarity
By making system prompts remixable and shareable, Mathify turns them into a community resource, not just an internal setting.
You don’t need to be an expert in prompt engineering to benefit. You can:
start from featured prompts
remix what others have built
gradually refine your own variants
Over time, this should make it easier to converge on styles that actually work well for specific domains.
Exploring the prompt ecosystem
In the community list, you’ll find prompts for things like:
pure mathematics
economics
lecture / slide-style explanations
preschool intuition
equation-heavy derivations
3D-focused visuals
zero-text, visual-only explanations
counter-example and proof-debugging styles
Any of these can be remixed.
You’re not locked into the default. And you’re not locked into whatever I think is “best.”
Closing thoughts
The main idea behind this feature is flexibility without chaos.
You can ask for the same animation idea in one sentence, but decide ahead of time how Mathify should think about:
layout
clarity
speed
abstraction
visual tone
Once you find a prompt you like, you can reuse it consistently. And if it’s close but not perfect, you can remix it.
I’m looking forward to seeing what people build with this, especially as more community system prompts emerge and evolve.
