Skip to content

Commit 4244466

Browse files
tygerntygern
committed
Add simple readme
1 parent d9e1732 commit 4244466

File tree

1 file changed

+213
-0
lines changed

1 file changed

+213
-0
lines changed

‎README.md‎

Lines changed: 213 additions & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,213 @@
1+
# Pi Estimation
2+
3+
Estimates the value of π using a Monte Carlo simulation.
4+
5+
## Method
6+
7+
We generate random points within the unit square and count how many fall within a circle of radius 1 centered at the origin.
8+
The ratio of the number of points within the circle to the total number of points approaches π/4.
9+
10+
<svg width="400" height="400" xmlns="http://www.w3.org/2000/svg">
11+
<circle cx="0" cy="400" r="400" fill="rgba(55, 55, 55, .1)" stroke="black" stroke-width="2"/>
12+
<rect x="0" y="0" width="400" height="400" fill="none" stroke="black" stroke-width="2"/>
13+
<circle cx="292" cy="354" r="4" fill="blue"/>
14+
<circle cx="199" cy="352" r="4" fill="blue"/>
15+
<circle cx="344" cy="53" r="4" fill="black"/>
16+
<circle cx="192" cy="52" r="4" fill="blue"/>
17+
<circle cx="346" cy="126" r="4" fill="black"/>
18+
<circle cx="4" cy="2" r="4" fill="blue"/>
19+
<circle cx="267" cy="154" r="4" fill="blue"/>
20+
<circle cx="88" cy="359" r="4" fill="blue"/>
21+
<circle cx="285" cy="303" r="4" fill="blue"/>
22+
<circle cx="371" cy="307" r="4" fill="blue"/>
23+
<circle cx="335" cy="155" r="4" fill="black"/>
24+
<circle cx="282" cy="302" r="4" fill="blue"/>
25+
<circle cx="38" cy="211" r="4" fill="blue"/>
26+
<circle cx="113" cy="201" r="4" fill="blue"/>
27+
<circle cx="92" cy="177" r="4" fill="blue"/>
28+
<circle cx="359" cy="5" r="4" fill="black"/>
29+
<circle cx="55" cy="213" r="4" fill="blue"/>
30+
<circle cx="324" cy="399" r="4" fill="blue"/>
31+
<circle cx="349" cy="15" r="4" fill="black"/>
32+
<circle cx="29" cy="386" r="4" fill="blue"/>
33+
<circle cx="127" cy="123" r="4" fill="blue"/>
34+
<circle cx="312" cy="308" r="4" fill="blue"/>
35+
<circle cx="257" cy="313" r="4" fill="blue"/>
36+
<circle cx="8" cy="234" r="4" fill="blue"/>
37+
<circle cx="99" cy="253" r="4" fill="blue"/>
38+
<circle cx="218" cy="5" r="4" fill="black"/>
39+
<circle cx="265" cy="335" r="4" fill="blue"/>
40+
<circle cx="83" cy="360" r="4" fill="blue"/>
41+
<circle cx="128" cy="106" r="4" fill="blue"/>
42+
<circle cx="303" cy="119" r="4" fill="black"/>
43+
<circle cx="127" cy="361" r="4" fill="blue"/>
44+
<circle cx="249" cy="303" r="4" fill="blue"/>
45+
<circle cx="111" cy="255" r="4" fill="blue"/>
46+
<circle cx="329" cy="273" r="4" fill="blue"/>
47+
<circle cx="189" cy="229" r="4" fill="blue"/>
48+
<circle cx="308" cy="120" r="4" fill="black"/>
49+
<circle cx="170" cy="310" r="4" fill="blue"/>
50+
<circle cx="187" cy="59" r="4" fill="blue"/>
51+
<circle cx="237" cy="266" r="4" fill="blue"/>
52+
<circle cx="227" cy="42" r="4" fill="black"/>
53+
<circle cx="108" cy="118" r="4" fill="blue"/>
54+
<circle cx="377" cy="206" r="4" fill="black"/>
55+
<circle cx="236" cy="125" r="4" fill="blue"/>
56+
<circle cx="349" cy="86" r="4" fill="black"/>
57+
<circle cx="361" cy="177" r="4" fill="black"/>
58+
<circle cx="88" cy="62" r="4" fill="blue"/>
59+
<circle cx="282" cy="99" r="4" fill="black"/>
60+
<circle cx="286" cy="62" r="4" fill="black"/>
61+
<circle cx="316" cy="26" r="4" fill="black"/>
62+
<circle cx="246" cy="201" r="4" fill="blue"/>
63+
<circle cx="223" cy="255" r="4" fill="blue"/>
64+
<circle cx="370" cy="28" r="4" fill="black"/>
65+
<circle cx="313" cy="140" r="4" fill="black"/>
66+
<circle cx="379" cy="354" r="4" fill="blue"/>
67+
<circle cx="125" cy="179" r="4" fill="blue"/>
68+
<circle cx="274" cy="393" r="4" fill="blue"/>
69+
<circle cx="18" cy="333" r="4" fill="blue"/>
70+
<circle cx="108" cy="12" r="4" fill="black"/>
71+
<circle cx="277" cy="135" r="4" fill="blue"/>
72+
<circle cx="52" cy="179" r="4" fill="blue"/>
73+
<circle cx="196" cy="143" r="4" fill="blue"/>
74+
<circle cx="301" cy="39" r="4" fill="black"/>
75+
<circle cx="257" cy="197" r="4" fill="blue"/>
76+
<circle cx="183" cy="167" r="4" fill="blue"/>
77+
<circle cx="149" cy="268" r="4" fill="blue"/>
78+
<circle cx="262" cy="202" r="4" fill="blue"/>
79+
<circle cx="184" cy="352" r="4" fill="blue"/>
80+
<circle cx="229" cy="324" r="4" fill="blue"/>
81+
<circle cx="259" cy="231" r="4" fill="blue"/>
82+
<circle cx="311" cy="266" r="4" fill="blue"/>
83+
<circle cx="283" cy="393" r="4" fill="blue"/>
84+
<circle cx="212" cy="332" r="4" fill="blue"/>
85+
<circle cx="279" cy="273" r="4" fill="blue"/>
86+
<circle cx="91" cy="92" r="4" fill="blue"/>
87+
<circle cx="331" cy="172" r="4" fill="black"/>
88+
<circle cx="264" cy="120" r="4" fill="blue"/>
89+
<circle cx="298" cy="355" r="4" fill="blue"/>
90+
<circle cx="172" cy="354" r="4" fill="blue"/>
91+
<circle cx="115" cy="332" r="4" fill="blue"/>
92+
<circle cx="225" cy="390" r="4" fill="blue"/>
93+
<circle cx="397" cy="95" r="4" fill="black"/>
94+
<circle cx="139" cy="109" r="4" fill="blue"/>
95+
<circle cx="299" cy="297" r="4" fill="blue"/>
96+
<circle cx="80" cy="267" r="4" fill="blue"/>
97+
<circle cx="137" cy="216" r="4" fill="blue"/>
98+
<circle cx="343" cy="25" r="4" fill="black"/>
99+
<circle cx="44" cy="96" r="4" fill="blue"/>
100+
<circle cx="231" cy="112" r="4" fill="blue"/>
101+
<circle cx="341" cy="214" r="4" fill="blue"/>
102+
<circle cx="302" cy="349" r="4" fill="blue"/>
103+
<circle cx="209" cy="274" r="4" fill="blue"/>
104+
<circle cx="375" cy="269" r="4" fill="blue"/>
105+
<circle cx="299" cy="387" r="4" fill="blue"/>
106+
<circle cx="379" cy="310" r="4" fill="blue"/>
107+
<circle cx="210" cy="98" r="4" fill="blue"/>
108+
<circle cx="272" cy="3" r="4" fill="black"/>
109+
<circle cx="130" cy="44" r="4" fill="blue"/>
110+
<circle cx="348" cy="226" r="4" fill="blue"/>
111+
<circle cx="29" cy="54" r="4" fill="blue"/>
112+
<circle cx="392" cy="278" r="4" fill="black"/>
113+
<circle cx="391" cy="311" r="4" fill="black"/>
114+
<circle cx="348" cy="153" r="4" fill="black"/>
115+
<circle cx="271" cy="34" r="4" fill="black"/>
116+
<circle cx="305" cy="350" r="4" fill="blue"/>
117+
<circle cx="324" cy="191" r="4" fill="blue"/>
118+
<circle cx="6" cy="272" r="4" fill="blue"/>
119+
<circle cx="115" cy="70" r="4" fill="blue"/>
120+
<circle cx="100" cy="52" r="4" fill="blue"/>
121+
<circle cx="374" cy="332" r="4" fill="blue"/>
122+
<circle cx="134" cy="96" r="4" fill="blue"/>
123+
<circle cx="369" cy="272" r="4" fill="blue"/>
124+
<circle cx="335" cy="26" r="4" fill="black"/>
125+
<circle cx="224" cy="207" r="4" fill="blue"/>
126+
<circle cx="340" cy="222" r="4" fill="blue"/>
127+
<circle cx="375" cy="74" r="4" fill="black"/>
128+
<circle cx="106" cy="177" r="4" fill="blue"/>
129+
<circle cx="333" cy="346" r="4" fill="blue"/>
130+
<circle cx="9" cy="345" r="4" fill="blue"/>
131+
<circle cx="202" cy="108" r="4" fill="blue"/>
132+
<circle cx="354" cy="117" r="4" fill="black"/>
133+
<circle cx="51" cy="270" r="4" fill="blue"/>
134+
<circle cx="357" cy="328" r="4" fill="blue"/>
135+
<circle cx="137" cy="309" r="4" fill="blue"/>
136+
<circle cx="20" cy="180" r="4" fill="blue"/>
137+
<circle cx="152" cy="16" r="4" fill="black"/>
138+
<circle cx="113" cy="157" r="4" fill="blue"/>
139+
<circle cx="388" cy="231" r="4" fill="black"/>
140+
<circle cx="15" cy="202" r="4" fill="blue"/>
141+
<circle cx="72" cy="67" r="4" fill="blue"/>
142+
<circle cx="242" cy="174" r="4" fill="blue"/>
143+
<circle cx="289" cy="214" r="4" fill="blue"/>
144+
<circle cx="130" cy="220" r="4" fill="blue"/>
145+
<circle cx="125" cy="199" r="4" fill="blue"/>
146+
<circle cx="275" cy="355" r="4" fill="blue"/>
147+
<circle cx="98" cy="44" r="4" fill="blue"/>
148+
<circle cx="232" cy="183" r="4" fill="blue"/>
149+
<circle cx="309" cy="247" r="4" fill="blue"/>
150+
<circle cx="74" cy="245" r="4" fill="blue"/>
151+
<circle cx="344" cy="225" r="4" fill="blue"/>
152+
<circle cx="233" cy="209" r="4" fill="blue"/>
153+
<circle cx="345" cy="285" r="4" fill="blue"/>
154+
<circle cx="148" cy="242" r="4" fill="blue"/>
155+
<circle cx="79" cy="209" r="4" fill="blue"/>
156+
<circle cx="186" cy="182" r="4" fill="blue"/>
157+
<circle cx="253" cy="269" r="4" fill="blue"/>
158+
<circle cx="173" cy="123" r="4" fill="blue"/>
159+
<circle cx="209" cy="47" r="4" fill="black"/>
160+
<circle cx="300" cy="317" r="4" fill="blue"/>
161+
<circle cx="73" cy="350" r="4" fill="blue"/>
162+
<circle cx="81" cy="188" r="4" fill="blue"/>
163+
<circle cx="118" cy="395" r="4" fill="blue"/>
164+
<circle cx="59" cy="229" r="4" fill="blue"/>
165+
<circle cx="101" cy="265" r="4" fill="blue"/>
166+
<circle cx="25" cy="21" r="4" fill="blue"/>
167+
<circle cx="8" cy="2" r="4" fill="blue"/>
168+
<circle cx="263" cy="84" r="4" fill="black"/>
169+
<circle cx="64" cy="91" r="4" fill="blue"/>
170+
<circle cx="145" cy="153" r="4" fill="blue"/>
171+
<circle cx="275" cy="343" r="4" fill="blue"/>
172+
<circle cx="45" cy="330" r="4" fill="blue"/>
173+
<circle cx="47" cy="36" r="4" fill="blue"/>
174+
<circle cx="238" cy="250" r="4" fill="blue"/>
175+
<circle cx="180" cy="391" r="4" fill="blue"/>
176+
<circle cx="296" cy="10" r="4" fill="black"/>
177+
<circle cx="329" cy="59" r="4" fill="black"/>
178+
<circle cx="263" cy="224" r="4" fill="blue"/>
179+
<circle cx="354" cy="160" r="4" fill="black"/>
180+
<circle cx="94" cy="51" r="4" fill="blue"/>
181+
<circle cx="367" cy="353" r="4" fill="blue"/>
182+
<circle cx="106" cy="27" r="4" fill="blue"/>
183+
<circle cx="270" cy="81" r="4" fill="black"/>
184+
<circle cx="136" cy="46" r="4" fill="blue"/>
185+
<circle cx="321" cy="174" r="4" fill="blue"/>
186+
<circle cx="308" cy="55" r="4" fill="black"/>
187+
<circle cx="192" cy="54" r="4" fill="blue"/>
188+
<circle cx="353" cy="264" r="4" fill="blue"/>
189+
<circle cx="233" cy="230" r="4" fill="blue"/>
190+
<circle cx="108" cy="269" r="4" fill="blue"/>
191+
<circle cx="154" cy="168" r="4" fill="blue"/>
192+
<circle cx="342" cy="34" r="4" fill="black"/>
193+
<circle cx="139" cy="82" r="4" fill="blue"/>
194+
<circle cx="273" cy="111" r="4" fill="blue"/>
195+
<circle cx="182" cy="149" r="4" fill="blue"/>
196+
<circle cx="199" cy="38" r="4" fill="black"/>
197+
<circle cx="140" cy="38" r="4" fill="blue"/>
198+
<circle cx="14" cy="352" r="4" fill="blue"/>
199+
<circle cx="309" cy="361" r="4" fill="blue"/>
200+
<circle cx="264" cy="139" r="4" fill="blue"/>
201+
<circle cx="119" cy="5" r="4" fill="black"/>
202+
<circle cx="204" cy="360" r="4" fill="blue"/>
203+
<circle cx="134" cy="317" r="4" fill="blue"/>
204+
<circle cx="165" cy="208" r="4" fill="blue"/>
205+
<circle cx="273" cy="350" r="4" fill="blue"/>
206+
<circle cx="123" cy="198" r="4" fill="blue"/>
207+
<circle cx="260" cy="24" r="4" fill="black"/>
208+
<circle cx="394" cy="242" r="4" fill="black"/>
209+
<circle cx="218" cy="192" r="4" fill="blue"/>
210+
<circle cx="74" cy="124" r="4" fill="blue"/>
211+
<circle cx="155" cy="72" r="4" fill="blue"/>
212+
<circle cx="192" cy="232" r="4" fill="blue"/>
213+
</svg>

0 commit comments

Comments
 (0)