In the next update of Geometer, you'll be able to use set lengths/radii. I think it will be useful to subdivide and multiply these quickly by integer factors. The number keys seem an obvious candidate for this, but if you go with the most obvious mathematical interpretation (divide/times the length by the number), 1 becomes useless, wasting 10% of the buttons.
I'm wondering whether you think it might be reasonable to bump each number up one (1 -> divide/times by 2), with the following mental model (where you imagine lengths drawn as straight lines):
- Divide - number of subdivisions (e.g. 1 in the centre)
- Times - number of times you add the current length to itself
What do you think?
Alternatively, if you can think of a meaningful use for '1' for times and/or divide, that would also be very helpful!
Any input is appreciated.