#visualizing math

[art-of-mathematics]

Icosahedron model

The sketch/doodle/idea on paper:

My model has a side length of a = 5cm.

The result:

Ingredients:

- The icosahedron net (uncoiled): [Analogy terms: Red part is the "top", blue part the "bottom" and the yellow part is the "belt".]

- three rectangles with ratio 1 to Phi (~1.618) put together: [Hence, a = 5cm and b = 5cm*1.618 = ~ 8cm]

Assembly

[art-of-mathematics]

Some quick 3d function plot

[binnoy]

WHY SIN( ) = OPPOSITE SIDE/HYPOTENUSE =OPP/HYPO FORMULA VISUALIZED TRIGO...

[zenbubbha]

Visualizing quaternions (4d numbers) with stereographic projection

[meganleppla]

Spent last week making mathematically beautiful art with my students, talking about the Fibonacci sequence, and how to manipulate space.

[meganleppla]

Can an Algorithm Determine Art History’s Most Creative Paintings?

[chromesthetic-dream]

visualizingmath's logo is a dragon curve fractal. Here's a gif of one growing from a pair of line segments.

[bennbatt-blog]

A girl told me "I never want you to fall into the spiral I've let myself become trapped in" I appreciate this, however my path is not a spiral, but rather a downward travelling helix that has an oscillation in it's z-component that exponentially decays. To parametrize my love life I do so with the following: Let Life(t) be a 3 dimensional vector-valued function that changes with time. Let x(t) be the effort I put into women Let y(t) be the effort I put into school  Let z(t) be my overall happiness Then Life(t) = <sin(t), cos(t) + 1, -t+0.5*e^(-0.4*t)*6*sin(10*t)>

For anyone who actually would care to see my Life(t) function, and cannot visualize it in their head:

http://www.flashandmath.com/advanced/motion3d/motion3d.html enter: x(t) = sin(t) y(t) = cos(t) + 1 z(t) = -t+0.5*e^(-0.4*t)*6*sin(10*t) tmin = 0 tmax = 18