Sunday, November 12, 2017

Swastika Tiling

An implicit curve: swastika(x,y) = 0


The swastika here is an ancient Buddhist symbol, not the Nazi one.


Composition of swastika(x,y), arctan(x) and tan(x)
(k = 0.25)

Composition of swastika(x,y), arctan(x) and tan(x)
(k = 0.125)

Composition of swastika(x,y), arctan(x) and tan(x)
(k = 0.4)

Composition of swastika(x,y), arcsin(x) and sin(x)
(k = 0.25)

Composition of swastika(x,y), arcsin(x) and sin(x)
(k = 0.4)

Swastika of Swastikas
(k = 1/4, 5/24)

Swastika of Swastikas of Swastikas
(k = 1/4, 1/4, 5/24)

Swastika of Swastikas of Swastikas
(Unicode of 卍: 0x534D)

A Maze of Swastikas
(k = 0.1)


( Mathematical software used: Graph )


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