A day in the life of architect Le Corbusier:
This is one of the entries on an intriguing infographic by R J Andrews posted at infowetrust.com. It shows typical daily routines of some famous historical figures, displaying their work/recreation activities on a 24 hour chart.
The two advantages of the 24 hour analog way of displaying time are that the entire day can be seen at a glance, and that time is displayed in context. Whereas a digital display tells you the time right now, an analog dial can show you the current time in the context of the surrounding time periods.
To use this kind of display to plan your time rather than record it, you could look for some suitable software, although there isn’t much around at the moment. One example I spotted recently is the CandooIt concept, currently available for iPhone and iPads, but perhaps planned for Androids soon, who knows. The idea is that your calendar and other plans can be shown on a circular chart, thus allowing you to see ‘at a glance’ what your day looks like.
However, in its present form, CandooIt is difficult to use with an interface that’s both too minimalistic and confusingly animated, and it doesn’t really provide the features that you would expect from a basic calendar/planning app (such as reading from the built-in calendar…). Hopefully the author can improve the execution and make the concept work.