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Wheel size

rim size

The tikit wheels are the 349mm '16 inch' size. Quite a wide range of tyres available, standard issue will be Schwalbe Marathons, 16 x 1-3/8.
Rob.

Standard issue tyres

How about making the standard issue tyres Greenspeed Scorcher 40-349 rather than Schwalbe Marathons. The Scorchers are the lowest rolling resistance, smoothest riding 349 mm tyres available. The Marathon has relatively high rolling resistance. If the Scorcher is too expensive then I'd recommend the Primo Comet 37-349.

20"

Will 405mm diameter wheels also fit on the tikit?

Not that I would want to buy one with 20" wheels, but it would be nice to have the option, just like it's nice to have a wide range of gearing options.

nope

Everything's a careful balance and even with the 16" wheels it's a bit bigger than a Brompton. No need to make it bigger still, especially given that such a thing would render it difficult to fit in many commuter trains.