Difference between revisions of "Manuals/calci/Pascal Triangle Fun"
Jump to navigation
Jump to search
| Line 4: | Line 4: | ||
=== Sierpiński triangle === | === Sierpiński triangle === | ||
| + | |||
| + | [https://en.wikipedia.org/wiki/Sierpi%C5%84ski_triangle] | ||
| + | |||
<pre> | <pre> | ||
//with 32 | //with 32 | ||
| Line 23: | Line 26: | ||
</pre> | </pre> | ||
| − | |||
===Fibonacci and Pascal Triangle=== | ===Fibonacci and Pascal Triangle=== | ||
Revision as of 10:05, 7 August 2020
Pascal Triangle Fun
Sierpiński triangle
//with 32
m=32;
pt=PASCALTRIANGLE(m).$(x=>x%2)
a=pt
.map(
function (r,i)
{
var prefix= (REPEATCHAR(" ",(2*m-(2*i+1))/2).split(""));
return(
prefix
.concat(r.join(", ,").split(","))
.concat(prefix)
)
}
);
(a);
Fibonacci and Pascal Triangle
FIBONNACI(100)
b=PASCALTRIANGLE(100)
b.map(
function calcfib(r,i,d)
{
var fib=0;
var j=0;
for(var xi=i;xi>=0;xi--)
{
fib+=isNaN(d[xi][j])?0:d[xi][j];
j++;
}
return(fib)
}
)
Pascal Triangle and Figurate Numbers
PASCALTRIANGLE(20)
figuratenumbers=(n,r)=>(n+r-1)!C!r; a=[1..10,0..10]@figuratenumbers; a.parts(10)
Lucas, Fibonacci, Golden Ratio Relationship
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]
Pretty Pascal Triangle
m=10;
pt=PASCALTRIANGLE(m)
pt
.map(
function (r,i)
{
var prefix= (REPEATCHAR(" ",(2*m-(2*i+1))/2).split(""));
return(
prefix
.concat(r.join(", ,").split(","))
.concat(prefix)
)
}
);
Now we can use:
PASCALTRIANGLE(10,true)