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:

  1. Click Remix on the system prompt

  2. Open the prompt editor

  3. Ask ChatGPT to modify it toward a light, white-background theme

  4. 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.

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