Marc, this is where the benefits of SVG shine. All your shapes would be rendered as SVG Paths and as such are more accurate that PNG positioning.
I assume your performed Combine Shape > Intersect All Shapes?
My design page then shows a very faint slice line that grows no wider up to max zoom.
When rendered the browser shows the cuts more roughly and the edges more around when scaling.
I cheated by adding some CSS:
<style>
.edging {
transform: scale(1.018);
}
</style>
The proper way to do it is to apply the feMorphology Filter Primitive, using a filter SVG:
<svg>
<filter id="blur">
<feMorphology in="SourceGraphic" operator="dilate" radius="0.5">
</feMorphology>
</filter>
</svg>
and applying some CSS to all the shapes as filter: url(#blur);.
Acorn
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