File: nested-iframe.html

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<!DOCTYPE html>

<style>
body {
  --top-scale: 1;
  --sub-scale: 1;
  margin: calc(12px * var(--top-scale));
  background-color: orange;
}
iframe {
  border: none;
  width: calc(96px * var(--top-scale) * var(--sub-scale));
  height: calc(48px * var(--top-scale) * var(--sub-scale));
}
</style>

<iframe id="target" scrolling="no"></iframe>

<script>
let target = document.getElementById("target");
let params = new URLSearchParams(location.search);
let scale = 1;

if (params.has("zoom")) {
  target.style.zoom = parseFloat(params.get("zoom"));
}
if (params.has("topscale")) {
  let topscale = parseFloat(params.get("topscale"));
  document.body.style.setProperty("--top-scale", topscale);
  scale *= topscale;
}
if (params.has("subscale")) {
  let subscale = parseFloat(params.get("subscale"));
  document.body.style.setProperty("--sub-scale", subscale);
  scale *= subscale;
}

let url = "leaf.html";
if (scale != 1) {
  url += `?scale=${scale}`;
}
target.src = url;
</script>