Elegant design and concept. Almost utopian, really. But a few practical issues:

1. This would be highly unpleasant if the rail was above ground.
2. How do people get into and out of the city? Does another rail line run through the central hub?
3. How is residential and commercial divided?
4. How do people have access to the green space? Is it completely cordoned off for wildlife or can it be used for agriculture, recreation, etc?
5. Where are you going to build it? The Amazon? Siberia? Mars? Most development has already happened worldwide so the infrastructure is already there. Are you going to level existing cities in order to build it? At what cost to people and resources?
6. Air travel?
7. No personal vehicles of any sort?
8. Doesn't seem to allow much variety and options for homes and public spaces.

How do people get into and out of the city? Does another rail line run through the central hub?

Each of the lobes has at least one district that can connect to external road or rail networks, for moving people and cargo (good, produce, etc).

How is residential and commercial divided?

Retail is on the first floor, with the largest retail near the center of each district. Commercial would tend to be located near the center of each district. Residential can be throughout the district, nominally above the first floor, especially near the center of the district.

How do people have access to the green space? Is it completely cordoned off for wildlife or can it be used for agriculture, recreation, etc?

This can be up to the city's preference. Obviously, with 80% open space, there will be plenty of parks, sports fields, gardens, wildlife areas, and so forth. Note that the interior of each city block, without the need for car parking, can look like the following picture;

Where are you going to build it?

While some countries might be pressed to find land to start such a project, other countries are creating new cities from scratch, such as Dubai and China;

Dubai Carbon Free City

China's new carbon free city

Air travel?

An airport could be located nearby, but such an investment would make little sense in a peak oil world.

No personal vehicles of any sort?

Inside each district, there could be bikes, segways, and motorized transport for those with physical challenges. For transport outside the city, 3 districts in each lobe could have car parking, for both private cars and for car-share cars.

Doesn't seem to allow much variety and options for homes and public spaces.

Any number of architectural themes can be realized. Suburbia-influenced yard layouts are not considered appropriate for this design theme, for all the obvious reasons.

There can be quite a bit of architectural diversity even within one city block;

I encourage you to visit the website Carfree.com to gain a greater sense of the way such a city would be designed, built, and lived-in.