Pascal's Triangle/Graphical Presentation

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Graphical Presentation of Pascal's Triangle

Modulo $2$

Entries $n$ are colour coded as follows:

$n \equiv 0 \pmod 2$: $\color {black} {\text {White} }$
$n \equiv 1 \pmod 2$: $\color {black} {\text {Black} }$


Pascals-Triangle-Mod-2.png


Modulo $3$

Entries $n$ are colour coded as follows:

$n \equiv 0 \pmod 3$: $\color {black} {\text {White} }$
$n \equiv 1 \pmod 3$: $\color { Black } {\text {Black} }$
$n \equiv 2 \pmod 3$: $\color { Red } {\text {Red} }$


Pascals-Triangle-Mod-3.png


Modulo $4$

Entries $n$ are colour coded as follows:

$n \equiv 0 \pmod 4$: $\color {black} {\text {White} }$
$n \equiv 1 \pmod 4$: $\color { Black } {\text {Black} }$
$n \equiv 2 \pmod 4$: $\color { Green } {\text {Green} }$
$n \equiv 3 \pmod 4$: $\color { Red } {\text {Red} }$


Pascals-Triangle-Mod-4.png


Modulo $5$

Entries $n$ are colour coded as follows:

$n \equiv 0 \pmod 5$: $\color {black} {\text {White} }$
$n \equiv 1 \pmod 5$: $\color { Black } {\text {Black} }$
$n \equiv 2 \pmod 5$: $\color { Blue } {\text {Blue} }$
$n \equiv 3 \pmod 5$: $\color { Green } {\text {Green} }$
$n \equiv 4 \pmod 5$: $\color { Red } {\text {Red} }$


Pascals-Triangle-Mod-5.png


Modulo $6$

Entries $n$ are colour coded as follows:

$n \equiv 0 \pmod 6$: $\color {black} {\text {White} }$
$n \equiv 1 \pmod 6$: $\color { Black } {\text {Black} }$
$n \equiv 2 \pmod 6$: $\color { Yellow } {\text {Yellow} }$
$n \equiv 3 \pmod 6$: $\color { Blue } {\text {Blue} }$
$n \equiv 4 \pmod 6$: $\color { Green } {\text {Green} }$
$n \equiv 5 \pmod 6$: $\color { Red } {\text {Red} }$


Pascals-Triangle-Mod-6.png