GiacoGala

itsasweetlifelivingbythesaltysea: theamericankid: It’s...

Mon, 27 May 2013 07:58:43 +0200

itsasweetlifelivingbythesaltysea:

theamericankid:

It’s Memorial Day Weekend.

Is it me, or does Gen. Odierno’s PC look ate up?

69…O.o

Sat, 18 May 2013 18:58:29 +0200

69…O.o

Photo

Sat, 18 May 2013 18:57:18 +0200

Photo

Sat, 18 May 2013 18:57:01 +0200

1ucasvb: The familiar trigonometric functions can be...

Fri, 22 Feb 2013 09:12:59 +0100

1ucasvb:

The familiar trigonometric functions can be geometrically derived from a circle.

But what if, instead of the circle, we used a regular polygon?

In this animation, we see what the “polygonal sine” looks like for the square and the hexagon. The polygon is such that the inscribed circle has radius 1.

We’ll keep using the angle from the x-axis as the function’s input, instead of the distance along the shape’s boundary. (These are only the same value in the case of a unit circle!) This is why the square does not trace a straight diagonal line, as you might expect, but a segment of the tangent function. In other words, the speed of the dot around the polygon is not constant anymore, but the angle the dot makes changes at a constant rate.

Since these polygons are not perfectly symmetrical like the circle, the function will depend on the orientation of the polygon.

More on this subject and derivations of the functions can be found in this other post

Now you can also listen to what these waves sound like.

This technique is general for any polar curve. Here’s a heart’s sine function, for instance

godthanks: Wacom Inkling - site ♥_♥

Tue, 30 Oct 2012 07:13:22 +0100

godthanks:

Wacom Inkling - site

♥_♥

godthanks: The Future???

Tue, 30 Oct 2012 07:12:42 +0100

godthanks:

The Future???

Listening to One Day / Reckoning Song (Wankelmut Remix) by Asaf Avidan & The Mojos

Fri, 12 Oct 2012 13:32:08 +0200

Che bella canzone…. at Casa Mia – Preview it on Path.

department5: Hello World! Now Department 5 is on Tumblr!!

Fri, 12 Oct 2012 12:25:33 +0200

department5:

Hello World!

Now Department 5 is on Tumblr!!

Thought via Path

Sat, 06 Oct 2012 06:36:25 +0200

Pronti! Partenza! Via! #Firenze stiamo arrivando!!! – Read on Path.

Watching Inception

Thu, 27 Sep 2012 22:19:02 +0200

Stupendo film!!!!Chi non lo ha mai visto è pregato di guardarlo! at Casa Mia – View on Path.

Thought via Path

Thu, 27 Sep 2012 19:39:44 +0200

O.o ma sono solo come la particella di sodio dell’acqua Lete in questo Path?!? ;( at Casa Mia...

Reading New York City City Guide by Lonely Planet

Wed, 26 Sep 2012 13:30:58 +0200

Bella guida … Fatta veramente bene!!! at Casa Mia – View on Path.

Thought via Path

Sun, 23 Sep 2012 22:17:20 +0200

Appena tornato da Milano….che giornatine piene…stasera finalmente mi...

At Hotel Kennedy

Thu, 20 Sep 2012 14:06:06 +0200

Ciao da Milano…. – at Hotel Kennedy – See on Path.

#converse #dondup #dondupcasamilano (Scattata con Instagram...

Thu, 20 Sep 2012 12:12:54 +0200

#converse #dondup #dondupcasamilano (Scattata con Instagram presso DonDup)

Ma dove è finita #milano??? (Scattata con Instagram presso Hotel...

Thu, 20 Sep 2012 09:10:42 +0200

Ma dove è finita #milano??? (Scattata con Instagram presso Hotel Kennedy)

Thought via Path

Sun, 16 Sep 2012 21:21:25 +0200

Sono un poketto cotto!!!!:( at Casa Mia – Read on Path.

La Diana in #treno (Scattata con Instagram presso Hotel Aurora)

Thu, 06 Sep 2012 13:57:05 +0200

La Diana in #treno (Scattata con Instagram presso Hotel Aurora)

Is this the #wall of #facebook?!? (Scattata con Instagram)

Wed, 22 Aug 2012 14:06:43 +0200

Is this the #wall of #facebook?!? (Scattata con Instagram)