Page 41 - Vertical City

RECONCILING HIGH-RISE LIVING AND THE SUN 41

height (48 stories of 3,3 m in height), and in tropical
zones (avec L/H = 1) to 86,1 × √5 = 192.5 m in height (58
stories).

These illustrations also show that the towers from
the third to the seventh ring (sixth in tropical zones)
entirely block the view of the horizon.

Ignoring the Pythagorean orthogonality, it is interes-
ting to note that it is possible to considerably improve
the situation with cylindrical towers organized on a grid
of equilateral triangles.

To be correct, the cylindrical tower shall present a
diameter of 34 m 23 to provide the same gross floor area
as that of the square plan, or 900 m² [figures 14 and 15].

Each tower is surrounded by a first ring of 6 others
distant of L = 34 m × 3,3 24 (or 1,37) that leads, B in this
case being the diameter of the tower, to a distance
axis-to-axis Lx of 34 m × 4,3 (or 2,37), in other words
146,2 m (or 80,6 m). Each tower only takes up a terri-
tory of 13,883 m² (or 4,217 m²), which allows for a net
density of 50% (77%) superior to that obtained with the
square grid, and the ground occupation coefficient rises
to C/S = 6,48 % (21,13%).

23 Their height is reasonably limited to 10 times their diameter for
issues related to strength and stiffness (that we shall examine later
on) in other words 340 m or, with a story height of 3,3 m, at 113
stories. Higher towers enlarge progressively towards the base. The
most intelligent present a star plan with three or four branches of
15 to 20 m in width to enable natural daylight and ventilation.

24 We pass from L/B = 3,8 to 3,3 because the shadow occurs to the
right of the diameter