Search IntMath
Close

450+ Math Lessons written by Math Professors and Teachers

5 Million+ Students Helped Each Year

1200+ Articles Written by Math Educators and Enthusiasts

Simplifying and Teaching Math for Over 23 Years

Ellipses and crowd safety at the Hajj

By Murray Bourne, 19 Dec 2007

During the week of Hari Raya Haji, I thought it would be interesting to point out how crowd safety at the Hajj was improved using ellipses.

The Hajj is the annual pilgrimage to Mecca. Hari Raya Haji is celebrated at the end of the pilgrimage on the tenth day of the last month of the Muslim calendar. (In 2007, this falls on 20th December.)

One of the rituals (Ramy al-Jamarat, or 'stoning of the devil') involves 3 stone pillars. Pilgrims are required to throw 7 stones at each pillar. (This symbolises the 3 times that Abraham refused the devil's taunts over the sacrifice of his son.)

With 2 million pilgrims attending the Hajj and with several serious fatal incidents arising from inadequate crowd control, in 2004 Crowd Dynamics Ltd was consulted to improve the situation.

Crowd Dynamics [...] advised on several safety improvements to the site (increasing the width of the Al-Kubra stoning area, changing positions of the exit barriers (al-Kubra area) and pillar locations (ground floor).

Originally, the walls surrounding the stoning pillars were circular with a small radius (the dots on the Jamarat Bridge are people):

As pilgrims surged around the pillar and tried to throw stones, the situation could easily become chaotic and very dangerous.

So the company suggested that the walls surrounding the stoning area should be elliptical:

Stoning wall in the shape of an ellipse

The above image is from a computer animation of the effect of using ellipse-shaped barriers. The dots are people and the colour represents people densities.

Footnote: To get an idea of the crowds in Mecca, check out this traffic scene:

[Image source]

See the 1 Comment below.

One Comment on “Ellipses and crowd safety at the Hajj”

1. Movement Strategies says:

It's one of the most important times of the year to ensure that everything has been accounted for. well done for ensuring a safe festival!

Comment Preview

HTML: You can use simple tags like <b>, <a href="...">, etc.

To enter math, you can can either:

1. Use simple calculator-like input in the following format (surround your math in backticks, or qq on tablet or phone):
a^2 = sqrt(b^2 + c^2)
(See more on ASCIIMath syntax); or
2. Use simple LaTeX in the following format. Surround your math with $$ and $$.
$$\int g dx = \sqrt{\frac{a}{b}}$$
(This is standard simple LaTeX.)

NOTE: You can mix both types of math entry in your comment.

From Math Blogs