mathematics in architecture

5. Here (a + b) / a = a/b=Φ≈1.6180339887
Golden ratio is (a+b):a or a:b which is 1: Φ
i.e. 1: 1.6180339887…

6. The Greek used it extensively for beauty and
balance in the design of the Parthenon and
other architecture:

8. dimensions: 27
feet long, 18 1/2
feet wide, and
23 feet tall. The
ratio of height to
diameter of the
columns is 7:1,

10. DORIC ORDER
Examples of the
Doric order are
Parthenon the
temple for the
goddess of wisdom.

11. LONIC ORDER
Some examples of
the Lonic order are
the temple of Apollo
at Didyma/Turkey.
The temple of
Athena Nike was
also the Lonic
order.

12. CORINTHIAN ORDER
The Corinthian
order was the latest
order.
The oldest example
of the Corinthian
order was the
temple of Apollo at
Bassae.
The Greeks made
little use of this
order.

14. Great Mosque of Kairouan

16. The
grand
Imam
Mosque

19. The carved stucco of the ceiling in the Hall of the Two
Sisters in The Alhambra palace in grenda

23. Φ was used in the construction of the Taj
Mahal,

31. Indians employed planning principles and
proportions that rooted the buildings to the
cosmos, considering the movements of
sun, stars, and other heavenly bodies.
vastu shastra , the ancient Indian canons
of architecture and town planning employs
mathematical drawings called mandalas

36. Jaipur was designed using the pithapada mandala as the basis. In this
mandala of nine squares that represent the universe, earth occupies the
central square. In the city, which consists of nine large squares, the central
square is assigned to the royal palace. They calculated and planned city
map using recursion:
Length of City / Length of Middle Town : 771.1/340.5 ≈ 2.26; Length of
Middle Town / Length of Castle: 340.5/151 ≈ 2.26

38. During the Indus Valley Civilization at the sites of Harappa and
Mohenjo-Daro constructions took place following precise
mathematical calculation

40. x x

56. Pythagoras theorem used in architecture:
The Samrat Yantra, at Jaipur, designed by Jai Singh, measuring
147′ at its base and 90′ high could calculate time within two
seconds accuracy per day.
.

57. pillar of mehrauli

60. Φ was used it in the design of
Notre Dame in Paris, which was
built in the 1163 and 1250

62. Christian church in china

65. Chichen Itza, Mexico
has fifty two panels on
each side of the
pyramid represent the
number of years in the
Mayan cycle, the
stairways dividing the
eighteen tiers
correspond to
the Mayan calendar of
eighteen months and
the steps within El
Castillo mirror
the solar year, with a
total of 365 steps, one
step for each day of
the year.

67. STRUCTURAL ENGINEERING
Structural engineering.
What shapes are rigid or
flexible, how they
respond to forces and
stresses. Statics
(resolution of forces) is
essentially geometry.
This goes over into all
levels of design, form,
and function of many
things.

72. Development of the
Tower 1 level 43
floor plan from a
Rub el Hizb symbol(
Islamic symbol)

74. The CN Tower in Toronto has contains the golden
ratio in its design. The ratio of observation deck at
342 meters to the total height of 553.33 is 0.618 or
phi, the reciprocal of Phi!

77. where is the half-width of the Tower
at height , is the half-width of the
Tower at the ground and is the
maximum wind pressure the Tower can
withstand at a height .

78. W
I
L
L
I
S

T
O
W
E
R

80. Φ was used in the UN building

83. The Gherkin’s(UK) unusual
design features – the round
building, bulge in the
middle, the narrow taper at
the top and spiraling design
– create an impact in more
ways than you might think.
The cylindrical shape
minimizes whirlwinds that
can form at the base of
large buildings, something
that can be predicted by
computer modeling using
the math of turbulence.

84. The Eden Project, Cornwall, UK
the building
structure, is
derived from
phyllotaxis, the
mathematical
basis for most
plant growth
(opposing spirals
are found in
many plants,
from pine cones
to sunflower
heads).