'Twas inspired by Bill and his bfh. The majority of the time was spent finding an old enough penny (can't be using one of the modern zinc buggers).
Did a bit playing with gnuplot. I can get contours, but not the pretty shaded color fills I want. I'll give it a little more effort, then move to the next.
In the meantime, a 2d coldplate. 40 by 6 mm, 10 mm wide uniform heat current in, 311.7 K peak temp, arbitrary convection coefficient leading to a 300K isothermal 'great beyond'. Check out them beautious isotherms!

Very, very (very!) rough start.