Math, asked by vikram9999, 1 year ago

name four natural objects with faces which have atleast one line of symmetry

Answers

Answered by sakshi506166
5
honeycomb
sunflower..
.
.
is the answer ✌ ✌
all have line of symmetry..
@ be brainly ❤❤
Answered by Anonymous
0

Answer:


Step-by-step explanation:

For centuries, symmetry has remained a subject that’s fascinated philosophers, astronomers, mathematicians, artists, architects, and physicists. The ancient Greeks were downright obsessed with it—and even today we tend to side with symmetry in everything from planning our furniture layout to styling our hair.No one’s sure why it’s such an ever-present property, or why the mathematics behind it seem to permeate everything around us—but the ten examples below prove that it’s definitely there.Just be warned: once you’re aware of it, you’ll likely have an uncontrollable urge to look for symmetry in everything you see.

10

Romanesco Broccoli

Romanesco Brassica Oleracea Richard BartzYou may have passed by romanesco broccoli in the grocery store and assumed, because of its unusual appearance, that it was some type of genetically modified food. But it’s actually just one of the many instances of fractal symmetry in nature—albeit a striking one.In geometry, a fractal is a complex pattern where each part of a thing has the same geometric pattern as the whole. So with romanseco broccoli, each floret presents the same logarithmic spiral as the whole head (just miniaturized). Essentially, the entire veggie is one big spiral composed of smaller, cone-like buds that are also mini-spirals.Incidentally, romanesco is related to both broccoli and cauliflower; although its taste and consistency are more similar to cauliflower. It’s also rich in carotenoids and vitamins C and K, which means that it makes both a healthy and mathematically beautiful addition to our meals.9

Honeycomb

HoneycombNot only are bees stellar honey producers—it seems they also have a knack for geometry. For thousands of years, humans have marveled at the perfect hexagonal figures in honeycombs and wondered how bees can instinctively create a shape humans can only reproduce with a ruler and compass. The honeycomb is a case of wallpaper symmetry, where a repeated pattern covers a plane (e.g. a tiled floor or a mosaic).How and why do bees have a hankering for hexagons? Well, mathematicians believe that it is the perfect shape to allow bees to store the largest possible amount of honey while using the least amount of wax. Other shapes, like circles for instance, would leave a gap between the cells since they don’t fit together exactly. Other observers, who have less faith in the ingenuity of bees, think the hexagons form by “accident.” In other words, the bees simply make circular cells and the wax naturally collapses into the form of a hexagon. Either way, it’s all a product of nature —and it’s pretty darn impressive.

8

Sunflowers

Helianthus WhorlSunflowers boast radial symmetry and an interesting type of numerical symmetry known as the Fibonacci sequence. The Fibonacci sequence is 1, 2, 3, 5, 8, 13, 21, 24, 55, 89, 144, and so on (each number is determined by adding the two preceding numbers together). If we took the time to count the number of seed spirals in a sunflower, we’d find that the amount of spirals adds up to a Fibonacci number. In fact, a great many plants (including romanesco broccoli) produce petals, leaves, and seeds in the Fibonacci sequence, which is why it’s so hard to find a four-leaf clover. Counting spirals on sunflowers can be difficult, so if you want to test this principle yourself, try counting the spirals on bigger things like pinecones, pineapples, and artichokes. But why do sunflowers and other plants abide by mathematical rules? Like the hexagonal patterns in a beehive, it’s all a matter of efficiency. For the sake of not getting too technical, suffice it to say that a sunflower can pack in the most seeds if each seed is separated by an angle that’s an irrational number. As it turns out, the most irrational number is something known as the golden ratio, or Phi, and it just so happens that if we divide any Fibonacci or Lucas number by the preceding number in the sequence we get a number close to Phi (1.618033988749895 . . .) So, for any plant following the Fibonacci sequence, there should be an angle that corresponds to Phi (the “golden angle”) between each seed, leaf, petal, or branch.7

Nautilus Shell

addition to plants, some animals, like the nautilus, exhibit Fibonacci numbers. For instance, the shell of a nautilus is grown in a “Fibonacci spiral.” The spiral occurs because of the shell’s attempt to maintain the same proportional shape as it grows outward. In the case of the nautilus, this growth pattern allows it to maintain the same shape throughout its whole life (unlike humans, whose bodies change proportion as they

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