Ham, getting the heat right is important!!! …. Too little heat doesn’t cut , too hot makes big Wallowing cuts … It’s most practical to make a Bow type hot wire and use some type of adjustable DC power supply ( like an old train transformer) . We still use an old Variac , but that puts low AC on the bow ( dangerous) …
Over the years we’ve cut literally hundreds of Foam wings for model planes …. Once you do a few , you can get great results , and with smaller cutting wires and a pair of templates , you can cut most any shape you want ...the sky is the limit ...
Ps. our Favorite Hot wire is still Stainless steel Fishing leader material ( solid) … Cuts great , lasts a long time , and it’s cheap and available

… Remember you don’t want the wire glowing HOT , just hot enough to melt the foam …
Ps , Don’t do like I did using an AC plug at the wire end ( fits my Variac) , as someone might accidentally plug it in the wall …

Big alligator clips work great instead … With a wire , polarity doesn’t seem to matter ...