Maths in architecture

1. Name – Priya
Class – 10 - C
Roll No. – 27
Maths In Architecture
Submitted To – Ms. Rekha
mam

2. Greek Architecture
The ideal of proportion that was used by Ancient Greek
architects in designing temples was not a
simple mathematical progression using a square module.
The math involved a more complex geometrical
progression, the so-called Golden mean
.
The Greek used extensively for beauty and balance in
the design of the Parthenon and other architecture.

5. Islamic architecture
The ratio of most islamic structures is 1:√2.
Researchers thought that muslims were able to create
tilings by direct strapwork method. This means that the
entire tiling has to be created with only utilizing a
straighedge and compass.
Direct Strapwork Method

6. By 1200 there was an important breakthrough in islamic
mathematics –the discovery of a new way to construct
girih line patterns decorated tessellations.

7. Quasi-Periodic Tiling
Self-Similarity Transformation
The Mezquita

8. Egyptian Architecture
• The basic relationships are used to create a right
triangle ,it forms the dimensions of a great pyramids of
Egypt , creating an angle of 51.83 degrees ,the cosine of
which is (reciprocal of ) or 0.618 (approx).
• When the perimeter of the pyramid of Egypt (1760
cubits) is divided by its height (280 cubits) we get
6.28571429 which is equal to 2π….
INTERESTING FACT: the Egyptians developed
rules for determining the areas of rectangles , triangles ,
trapezoids and circles.

11. From Vedic period onwards , Indian architecture was based
on principles of Vastu Shashtra which was based on
mathematical calculations.
These are texts found on the that describe
principles of design, layout, measurements,
ground preparation, space arrangement ,
spatial geometry and other mathematical
drawings called mandalas.

12. Jaipur was designed using the Pitaphada mandala as
the basis. In this mandala of 9 squares that represents the universe ,
earth occupies the central square. In the city that consists of 9 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=777.1/340.5=2.26
length of middle town/length of castle=340.5/151=2.26

14. Fun facts about Maths
• If you shock a person’s brain , their maths skills can
greatly improve upto 6 months.
• Letters ‘a’, ‘b’ , ’c’ and ‘d’ don't appear anywhere in the
spellings of 1-99.
• Letter ‘c’ doesn’t appear anywhere in the spellings of
entire English counting.
• Zero is the only number that can’t be written in roman
numerals.
• What comes after million , billion and trillion? A
quadrillion , quintillion , sextillion , septillion , octillion ,
nonillion , decillion and undecillion.