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FEBRUARY, 2015

Math Art: Hamid Naderi Yeganeh

 

 

Hamid Naderi Yeganeh, a Bachelor student of mathematics at the University of Qom, Iran, sends captures of his Math Art to celebrate Joseph-Louis Lagrange’s birthday on WUMATH (January 25, 1736).

Yeganeh won a gold medal at the 38th Iranian Mathematical Society’s Competition in 2014. His works have been featured on the web site of the AMS, see http://www.ams.org/mathimagery/thumbnails.php?album=40, and on the site of The New York Times http://wordplay.blogs.nytimes.com/2015/01/05/moriconi/.

 

We define A(n) for n=1,2,3,...,800 :

We define A(n) for n=1,2,3,...,800 :<BR> A(n)=(n/100, 0) if n=1,2,3,...,100<BR> A(n)=(1, (n-100)/100) if n=101,102,103,...,200<BR> A(n)=((300-n)/100, 1) if n=201,202,203,...,300<BR> A(n)=(0, (400-n)/100) if n=301,302,303,...,400<BR> A(n)=A(n-400) if n=401,402,403,...,800

 

Corridor

Shows 400 line segments. For each i=1,2,3,...400 the endpoints of the i-th line segment are A(i) and A(i+199).

Star

Shows 400 line segments. For each i=1,2,3,...400 the endpoints of the i-th line segment are A(i) and A(i+150).
A(4i) A(4j)

Matrix

Shows all line segments of the form

A(4i) A(4j)     ,

for i=1,2,3,...,99 and j=2,3,4,...,100 such that i<j.

More images by Hamid Naderi Yeganeh are below.

1,000 line segments. For each i=1,2,3,...,1000 the endpoints of the i-th line segment are:

((3/2)(sin((2pi/1000)+(p/3)))^5, (1/4)(cos(6pi/1000))^2) and ((1/5)(sin(6pi/1000)), (-2/3)(sin((2pi/1000)-(p/3)))^2). View full size image.

 

16,000 line segments. For each i=1,2,3,...,16000 the endpoints of the i-th line segment are:

((sin(120pi/16000))^3, (cos(118pi/16000))^3) and ((sin(116pi/16000))^3, (cos(114pi/16000))^3). View full size image.

 

5,000 line segments. For each i=1,2,3,...,5000 the endpoints of the i-th line segment are:

(sin(46pi/5000), (1/2)cos(6pi/5000)) and ((1/2)sin(6pi/5000), cos(34pi/5000)). View full size image.

 

8,000 line segments. For each i=1,2,3,...,8000 the endpoints of the i-th line segment are:

(sin(48pi/8000), (1/2)cos(30pi/8000)) and ((1/2)sin(32pi/8000), cos(38pi/8000)). View full size image.

 

6,000 line segments. For each i=1,2,3,...,6000 the endpoints of the i-th line segment are:

(sin(54pi/6000), cos(53pi/6000)) and (sin(52pi/6000), cos(51pi/6000)). View full size image.

 

Enjoyed this news bite?  Read more January 2015 News stories in WUSTL Math News⇨

— Math news, stories, videos, and interviews by Marie C. Taris, http://www.math.wustl.edu/marietaris/math.html⇨

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