#axis of symmetry

[biology-geology-beaches-india]

The Science Research Diaries of S. Sunkavally, p 615.

[math-journal2]

<— Unit 27: Part 3 —>

Trick

F + V —> Eq

F + e —> Eq

C, V, F —> Eq

Eq —> V, F, e

Non-Standard —> Standard

Page 76

[math-journal]

Parabolas

X

X

.

[funsizedcrow]

traditional art is fun until you have to draw something symmetrical

[sonic-adventure-3]

i shouldve been asleep 7 hours ago. i opened up blender just to quickly check out a couple things and then suddenly i was modelling jerry. weirdly higher poly than rig or squabble, super scuffed, but i am indeed able to model in blender. i need to go to beddddddd

[sciencesolutions]

[tenth-sentence]

Take the letter "A," flip it about a vertical axis passing through its apex, and it will provide you with a perfect replica of the original.

"The Fabric of the Cosmos" - Brian Greene

[fall24iksection]

ARCHITECTURAL DESIGN - ORDERING PRINCIPLES

consider these principles "fundamental ideas" that serve as the foundation for a system. these principles can structure your design and bring order to the lay-out of a building.

AXIS

SYMMETRY

HIERARCHY

TRANSFORMATION

DATUM

RHYTHM

PATTERN

REPETITION

[unravelingwires]

Paraboloidal

“You know,” Lakshmi mused. “I really hate math.”

Sam had finally figured out how to make alcohol on the ship. This may or may not have been a good thing, but Campbell hadn’t banned it, so the rest of them were taking advantage.

“You’re a physicist,” Lucian said incredulously.

“Yeah, but physics is just physics.” Lakshmi waved her bottle in emphasis. Ally, slumped into her side, snorted. “I get it when you have to calculate the strength of gravity or whatever, I just hate it when someone says ‘this pringle’s a parabola, actually,” and you have to nod along like that makes sense.”

“Pringles are actually hyperbolic paraboloids,” Sam corrected, the only sign of his inebriation a slight hesitation before “paraboloids.”

“That shit!” Lakshmi gestured. “That’s exactly what I’m talking about.”

“Think it’s better than your tachyon negative-mass bullshit,” Lucian muttered.

Lakshmi straightened. They all braced for an argument, but she just said “fuck you” before bursting into laughter. Shae rolled their eyes.

[cee-sees-the-sea]

Imagine yourself submerged in the prehistoric ocean. There are no fish, instead the only life forms consist of feather-like sessile organisms that sit on the seabed, filtering the current. The early organisms that evolved out of this, such as Jellyfish and Starfish, had radial anatomy. Their body structure entails a central axis from which you can split everything else. These bodies are simple, not designed for active mobility, lacking a ‘forwards’ or ‘backwards’. They didn’t even have eyes, instead interacting with and responding to the world via photoreceptive cells. What emerged from this were two developments: the evolution of complex eyes and the emergence of bilateral anatomy in early vertebrates and arthropods. In contrast to radial anatomy, bilateral anatomy entails an organism that can be split down the middle with rough symmetry. This is to say that they are built for direction. A body that is built for mobility entails significantly more complex behaviour behind its operation. Behaviour, in this sense, also becomes significantly more directed. These creatures now living in the ocean or on the sea-floor now begin to directly interact with one another. The mechanisms facilitating this interaction become pretty apparent in the fossil record; eyes, claws and antennae. The evolutionary consequences of this are the emergence of a complex nervous system alongside the presence of predation and, as Godfrey-Smith puts it “[From this point on] The mind evolved in response to other minds”. 

[spencerslover-blog]

did you know that jellyfish are radially symmetrical? they are symmetrical because of a central axis that runs through the length of their body. They have an upper and lower part, but no left or right sides. They are different from other types of animals such as reptiles, fishes, birds and arthropods, which exhibit bilateral symmetry. I love them

[art-of-mathematics]

I know I have drawn this shape so often already, but the process of drawing it is so soothing.

And for that, I have drawn a kind of step-by-step guide how to draw that shape in the top of this drawing:

(from left to right: ) [sorry in advance if I make it sound more complicated than it actually is. If you want to draw it, I would advice you to focus more on these illustrations rather than on my gibberish-text.]

1. draw a 2-dimensional Cartesian plane - or, in other words: just draw a cross like depicted

1.1. mark 2 points on the y-axis/vertical line with same distance to the coordinate origin, then mark 2 points on the x-axis/horizontal line with the same distance to the coordinate origin. (The markings on the y-axis need to be farther away from the origin than the markings of the x-axis)

2. connect the 4 marked points like depicted above. This is a function plot of a tractrix. (it has two mirror symmetry axes. )

3. draw an ellipse and connect the two markings on the x-axis. This becomes a kind of "belt" for the pseudosphere (4th picture)

4. part the ellipse into whatever-amount-you-want of partings (like you would cut a cake) and slightly mark these.

5. now imagine you cut that shape horizontally on the outer surface. (In the 5th picture I depicted that with red-ish pen across the pseudosphere. ) -

6. then the cut shape needs to be "(shape) shifted". For that we use a set of marked points we did in step 4). Furtherly, we "cut" the ellipse open, and push one end of it to the top, and the other end to the bottom. (depicted in picture 6 )

7. Then we connect the rest to get that shape:

[math-journal2]

<— Unit 16 — Unit 17: Parabolas — Unit 18 —>

Unit 17: Parabola

Part 1 —>

Basics

Misc

Domain & Range

Min & Max & x-intercepts

Graph —> Vertex Form

*new point, not new porn. Too lazy to change it.

Quadratic —> Graph

Page 45

[mashedbootatoes]

Drew Ed asking Double D to prom instead of finding the Axis of Symmetry, vertex, domain, and range

[literaryvein-reblogs]

Some Greek Art Vocabulary

for your next poem/story

Alabastron - A small vase for olive oil, often scented.

Amphora - A two-handled terracotta storage jar used by the ancient Greeks to hold or measure oil, wine, or milk.

Calyx - The external, cup-shaped, leafy part of a flower.

Calyx-krater - A krater with handles in the cupped shape of a calyx.

Epitaph - A funerary inscription.

Krater - A large pottery vessel with a mouth broad enough to allow a jug to be dipped into it; used for mixing wine with water in ancient Greece.

Negative space - The area around the decorative subject on a work of art; the external or outside area that defines the subject.

Palmette - An ornament of radiating petals on a calyx-shaped or budlike base; along with the sphinx, palmettes often top Greek grave markers.

Positive space - The area on a work of art where the subject is represented; the internal area.

Registers - In art, horizontal bands of images that often appear in vertical series on walls, vases, and so forth.

Relief - A sculpted surface in which the decorations stand out, in varying degrees of depth; reliefs are meant to be viewed frontally, not in the round.

Sphinx - A fabled creature that is half human and half animal; in Greek art and legend the sphinx has the head and torso of a woman.

Stele - An upright slab of stone usually inscribed and sometimes decorated with designs or figures that are painted or carved in relief; used by the Greeks as grave markers or for displaying public notices.

Symmetry - The duplication of an image on either side of a real or imaginary central axis.

Terracotta - Clay that has been fired at a relatively low temperature, brownish-red or buff in color.

Source ⚜ More: Word Lists

[astrolovecosmos]

Aries - Libra Axis: Tells a story about taking action vs. indecision, inaction, and procrastination. Tells a story about selfishness but also giving to the detriment of self, lack of boundaries, assertion, charm, persuasion, force, peace and war, leadership and cooperation, independence vs. partnerships, passion, romance, self-awareness vs. shallowness and detachment, insensitivity vs. tact, cheating and deception, winning and losing, honesty and bravery. Tells a story about lovers and fighters.

Taurus - Scorpio Axis: Tells a story about control, power, jealousy, resentment, stubbornness, indulgence and sensuality, comfort and thrill, safety and danger, possessive behavior, materialism, emotional strength and influence, inner security or contentment and inner empowerment and passion, willpower, revenge, grudges, manipulation, obsession, seduction, self-destruction, transformation and rebuilding. Tells a story about self-mastery and self-esteem.

Gemini - Sagittarius Axis: Tells a story about communication, learning, knowledge, teaching, exploration of mind, body, and the world, trickery, con artists, betrayal, support, lies and truth, versatility, duality, variety, curiosity, superficiality vs. depth, philosophy, morals, logic, spontaneity and fickleness, symmetry vs. asymmetry, restlessness, carelessness, freedom, exaggeration vs. factual, movement, cunning wit and intellect as well as wisdom, optimism vs. skepticism, dissembling, analyzing, deception, schemes, gossip, boasting, charm vs. tactlessness, and promises. Tells a story about storytelling - lessons and adaptation.

Cancer - Capricorn Axis: Tells a story about protection, self-preservation, endurance, practicality, emotions and rationality, defense vs. offense, vulnerability, attachment, clinging vs. self-reliance, sentiment, nostalgia, home and family, ambition, purpose, clans, tribes, societies, private world vs. external/outer world, moods, cycles, authority, parents/mothers and fathers, caution, responsibility, duty, patience, compassion vs. cruelty, intuition, shrewdness, strategy, contentment vs. dissatisfaction, security vs. insecurity. Tells a story about needs and being uninhibited, as well as control and discipline.

Leo - Aquarius Axis: Tells a story about leadership, charisma, confidence, individuality, self-expression, creativity, innovation, the power of one vs. the power of the many, attention, compulsion, pride, ego, play and discovery, experimentation and rebellion, drama, curiosity, socialization, influence, dignity, generosity, benevolence and/or common good, chaos, destruction, passion vs. dispassion, humanity, divinity, fellowship, organized groups, separation or standing apart, control or tyranny, strangeness and what's rejected vs. what's accepted or even celebrated. Tells a story about the king/queen/politician and anarchist/rebellion/revolutionist.

Virgo - Pisces Axis: Tells a story about the spirit and body, healing, helping others, service, caring for others, listening to your body or your intuition, purity vs. corruption, compassion, sensitivity, impressions, flexibility, logic, imagination, being receptive, mysticism, confusion, illusions, clarity, distillation, categorizing, researching, analyzing - a thorough search for facts/truth. Tells a story about sacrifice, empathy, saving others, discernment, efficiency and productivity vs. procrastination and rest, modesty, free and flowing energy vs. precise and predictable energy, perfectionism vs. admiring flaws, realism or skepticism vs. idealism, details vs. big picture. Tells a story about the dreamer and the worker, the ability to make our dreams come true.