geometry Tag Posts Index

Patterns, Lines, and Rough Surfaces

Black-and-white photography has always been interesting to me because it is not only about strong contrast between light and dark. Sometimes, what makes an image

The Art of Geometry and Light

Compositions with overlapping triangles magically attract the viewer's gaze, don't they? I have always loved such photos For some reason I often come across such

Geometric Series: Sum of x^n series = 1/(1 - x) if |x| is less than 1

In this video, I show that the infinite series xn = x0 + x1 + x2 + ... is just a geometric series, and converges if the absolute value of x is less than 1. By common

Converting the number 2.3171717... into the fraction 1147/495 via the Geometric Series

In this video, I go over an example of converting the number 2.3171717... (with infinite repeating 17) into a fraction by writing the repeating 17s as an infinite

Examples on Identifying Geometric Series and Determining if it Converges or Diverges

In this video, I go over two examples and two methods of identifying if a series is a geometric series, and then finding its sum if it converges. In the first example,

Examples on Identifying Geometric Series and Determining if it Converges or Diverges

3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over two examples and two methods of identifying if a series

Geometric Series: Deriving the Sum using an Ingenious Method (and via Similar Triangles)

In this video, I go over the geometric series, which is the sum a + a r + a r^2 + ..., and show that if the absolute value of the common ratio r is less than 1,

Geometric Series: Deriving the Sum using an Ingenious Method (and via Similar Triangles)

3Speak - YouTube - Telegram - Notes - Playlist - Sequences and Series - MES Links In this video, I go over the geometric series, which is the sum a + a r + a r^2

[religious brainwash] Money for Nothing The Scientists, Fraudsters, and Corrupt Politicians Who Reinvented Money, Panicked a Nation, and Made the... #7/177

He wasn’t completely free of the older view as he pondered the tricks that schoolmasters used to construct the canonical curves without bothering with any algebra:

[religious brainwash] Money for Nothing The Scientists, Fraudsters, and Corrupt Politicians Who Reinvented Money, Panicked a Nation, and Made the... #6/177

Some of the works Newton had already read used infinite series to attack a variety of questions—for one, chasing down ever more precise values for that bane of middle

[religious brainwash] Money for Nothing The Scientists, Fraudsters, and Corrupt Politicians Who Reinvented Money, Panicked a Nation, and Made the... #5/177

The study of curves was a central fascination of seventeenth-century mathematics, and Newton had plunged into the field when he read a translation of René Descartes’s

SINGLE FRAME JOURNEYS #3 - THE PATTERN ABOVE

Sometimes inspiration comes from the most unexpected places. This photo was taken inside a zoo building. I honestly wasn’t paying much attention to. I was mostly

Polygons

Warm greeting to the friend's of hive. Its a skme polygons shapes. I hope its informative for all of you.

Unboxing the thunderstorm generator

Bob Greenyer of the Martin Fleshman memorial project unboxing Malcolm Bendall’s Thunderstorm Generator Generator

Geometry Dash: A Journey Through Rhythm, Reflex, and Resilience

Geometry Dash isn’t just a game — it’s a test of rhythm, focus, and determination. Developed by RobTop Games, this rhythm-based platformer challenges players to

Free energy from the sky for you and your plants 🪴

Continuing my classes in electroculture with another 90sec film, fresh from the edit suite! Description: Most people seem aware that electricity can be harvested

Dynamical Equations too complex? Cellular automata might be simpler?

Note: this is a sequel to Note2: The first post of this "series" of posts is It has been seeming lately while bringing up many many wikipedia pages across

Gravitational-wave mechanics and circuitry... IS MEANS SO CAN DO?

(Note: this is a sequel to ) As I write, the Wikipedia entry on gravitational waves is telling me "Gravitational-wave astronomy has the advantage that, unlike

Example 4: Tangent Vector is Orthogonal to Vector of Constant Length

In this video I show that the tangent vector (derivative of a vector function) is orthogonal or perpendicular to a vector of constant length. Geometrically this

Lets not forget "Synergetics" (R. Buckminster Fuller)...

( Note: this is a sequel to ). IS MEANS SO CAN... DO? Geometry: Three dimensions implies / requires at least four points, like Bucky's fundamental tetrahedron, which