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map projections that minimises differences

I have an odd map projection requirement, but I would like a world map projection where even very small countries, like Luxembourg or Belgium are still visible when also showing China and Canada on the same map. The idea is to use this map to show reach and engagement with the hue and therefore a map projection that minimises the area differences would be great as it maximises visibility for small countries for a given map size. Obviously angles, area and distances would be distorted, but as long as the country is recognisable (so not like some maps used in electoral mapping) that is fine. I guess rectangular maps would be great and the highest latitudes can be cut. Any ideas?

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    Baidu
    map