# Happy New Year!

Here is a tree with 2015 nodes:

img

#### Mathematica Code:

 1 2 3 4 5 6 7 8 9 TreeGraph[RandomInteger[#] $DirectedEdge] # + 1 & /@ Range[0, 2013], VertexSize -> Table[i -> RandomReal[10], {i, 2013}], VertexStyle -> Table[i -> ColorData["CherryTones"] /@ RandomReal[1, 1], {i, 2013}], EdgeStyle -> RGBColor[0.3, 1, 0.5], ImageSize -> Full, Background -> Black, GraphLayout -> "RadialEmbedding", EdgeShapeFunction -> GraphElementData[{"HalfFilledArrow", "ArrowSize" -> .005}], PlotLabel -> Style["a tree with 2015 nodes", Gray, 20]]  Note by Agnishom Chattopadhyay 3 years, 5 months ago MarkdownAppears as *italics* or _italics_ italics **bold** or __bold__ bold - bulleted- list • bulleted • list 1. numbered2. list 1. numbered 2. list Note: you must add a full line of space before and after lists for them to show up correctly paragraph 1paragraph 2 paragraph 1 paragraph 2 [example link](https://brilliant.org)example link > This is a quote This is a quote  # I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world" # I indented these lines # 4 spaces, and now they show # up as a code block. print "hello world" MathAppears as Remember to wrap math in $$...$$ or \[ ...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

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well I have got one more thing which displays d beauty of math..

It is known as the Love graph.

Google this equation (just copy/paste) : " 5 + (-sqrt(1-x^2-(y-abs(x))^2))cos(30((1-x^2-(y-abs(x))^2))), x is from -1 to 1, y is from -1 to 1.5, z is from 1 to 6 "

You will be amazed by the curve it produces.

Love Graph

This is just a mere review of the curve. You can even edit the values and see the transformations.

- 3 years, 5 months ago

This is better and my original work:

img

Code:

 1 2 3 4 5 6 def f(z):  x = real(z)   y = imaginary(z)   return (x^2 + y^2 -1)^3 - x^2*y^3 complex_plot(lambda z: (1/f(z)*i^(z+1)),(-1.5,1.5),(-1.5,1.5),plot_points=300) 

- 3 years, 5 months ago

its superb nyc work..

- 3 years, 5 months ago