Brilliant! Thank you, I'll have a look at what I can get. Although I still don't understand how a couple of mm of tungsten steel can make a rubber tyre or your foot stick like glue to ice.
It's a question of ground load. with 10 2mm diameter spikes, you have a total surface area of ~31.5mm² vs a normal foot area of say 16500m²[1]. So your body weight is now spread across a much smaller area, a sharper, hard, small area. Which can cut through the ice, and give you some sort of traction. Where a rubber tyre on dry roads is all about having a maximum amount of friction (whilst limiting rolling resistance...), over a large area, traction on ice with spikes is all about having the very high ground load, on a very small foot print[2].
Now there are alternatives, you can get traction on ice without going for spikes, but it requires a whole lot more science and design. Canada has a system where by shoes are rated based on their traction on ice. Probably not worth it if you're going to be in the ice for only a few days, but if you're seeing out a winter, shoes that meet such requirements are better. Tom Scott explains more here:
https://www.youtube.com/watch?v=q1oRaUTbk3kJ
[1] Ball park, based on 75x220mm foot area
[2] Working out the comparative ground load in pascals based on the numbers provided and a 75kg human is left as an exercise for the reader...