Answer: While it is theoretically possible to do what you have described, in practical terms it is a bit difficult. You can certainly start with morning glories, four o'clocks and moonflowers (which open in late afternoon for the night). The Victorians tried to create these and I believe the inspiration came from work done
by early botanists including Linneaus in Sweden. Sharon Lovejoy's
book "Sunflower Houses: Garden Discoveries for Children of All
Ages" (ISBN 0-934026-70-X) includes detailed instructions on
creating a floral clock beginning on page 32. A brief look at Linneaus'
work on flower blooming times can be found here:
Unfortunately I can't find a sample plan from the Victorian era, but this
should get you started.
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