Manuals/calci/Pascal Triangle Fun - Revision history

Joseph: /* Pascal Triangle and Figurate Numbers */

2020-08-07T17:33:25Z

Pascal Triangle and Figurate Numbers

2020-08-07T16:07:21Z

Pascal Triangle and Figurate Numbers

2020-08-07T16:06:11Z

Sierpiński triangle

2020-08-07T16:05:53Z

Sierpiński triangle

2020-08-07T16:05:29Z

Sierpiński triangle

2020-08-07T16:05:17Z

Pretty Pascal Triangle

2020-08-07T03:25:12Z

Pretty Pascal Triangle

2020-08-07T02:37:36Z

Pretty Pascal Triangle

2020-08-06T23:12:12Z

Fibonacci and Pascal Triangle

2020-08-06T23:10:18Z

== Sierpiński triangle ==

@@ Line 49: / Line 49: @@
 ==Pascal Triangle and Figurate Numbers==
-PASCALTRIANGLE(20)
+PASCALTRIANGLE(10)
 [https://en.wikipedia.org/wiki/Figurate_number]

@@ Line 53: / Line 53: @@
 [https://en.wikipedia.org/wiki/Figurate_number]
 figuratenumbers=(n,r)=>(n+r-1)!C!r;
 a=[1..10,0..10]@figuratenumbers;
 a.parts(10)
 ==Lucas, Fibonacci, Golden Ratio Relationship ==

@@ Line 5: / Line 5: @@
 === Sierpiński triangle ===
-[https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle | Sierpi%C5%84ski_triangle]
+[https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle Sierpierski Triangle]
 <pre>

@@ Line 5: / Line 5: @@
 === Sierpiński triangle ===
-[https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle]
+[https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle | Sierpi%C5%84ski_triangle]
 <pre>

@@ Line 4: / Line 4: @@
 === Sierpiński triangle ===
 <pre>
 //with 32
@@ Line 23: / Line 26: @@
 </pre>
 ===Fibonacci and Pascal Triangle===

← Older revision		Revision as of 03:25, 7 August 2020
Line 67:		Line 67:
	PASCALTRIANGLE(10,true)		PASCALTRIANGLE(10,true)
	<pre>		<pre>
		+
		+	==Lucas, Fibonacci, Golden Ratio Relationship ==
		+
		+	<pre>
		+	FIBONACCI(50)
		+
		+	LUCAS(50)
		+
		+	FIBONACCI(50)
		+	.pieces(2)
		+	.map(r=>r[1]/r[0])
		+
		+	GOLDENRATIO()
		+
		+	LUCAS(50)
		+	.pieces(2)
		+	.map(r=>r[1]/r[0])
		+
		+	ROUND((GOLDENRATIO())^(1..10))
		+
		+	[(1+√5)/2,(1+√5)/2]
		+
		+	ops.on;
		+	[(1+√5d100)/2,(1-√5d100)/2]
		+
		+	</pre>

← Older revision		Revision as of 23:12, 6 August 2020
Line 43:		Line 43:
	)		)
	</pre>		</pre>
		+
		+	===Pretty Pascal Triangle===
		+	<pre>
		+	m=10;
		+	pt=PASCALTRIANGLE(m)
		+	pt
		+	.map(
		+	function (r,i)
		+	{
		+	var prefix= (REPEATCHAR(" ",(2m-(2i+1))/2).split(""));
		+	return(
		+	prefix
		+	.concat(r.join(", ,").split(","))
		+	.concat(prefix)
		+	)
		+	}
		+	);
		+
		+	<pre>

@@ Line 3: / Line 3: @@
 ==Pascal Triangle Fun==
-=== Sierpiński triangle == =
+=== Sierpiński triangle ===
 <pre>
 //with 32