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Polygons are closed shapes with straight sides, and their perimeter is the total length of these sides. As the number of sides in a polygon increases, several interesting changes occur. For regular polygons (those with equal side lengths and angles), the perimeter depends on both the number of sides and the side length. With a fixed side length, adding more sides increases the perimeter because more segments are being added. However, if the polygon’s overall size or circumcircle radius remains constant, the side lengths decrease as the number of sides increases, leading the perimeter to converge toward the circumference of a circle. This property highlights how polygons with more sides begin to resemble circles, bridging the gap between geometric shapes and continuous curves. Understanding this relationship provides insights into geometry, design, and nature, where similar patterns are often observed. #mathematics #whatinspiresme

Children would love this! Here's an easy way to understand how to count in a binary system. Learning made simple with a proper example that makes it engaging and exciting. Perfect for introducing kids to the fascinating world of numbers and technology!

Can you draw a circle with Straight Lines? ?? #mathematics #whatinspiresme

Origami, the ancient art of paper folding, has found innovative applications in space exploration and technology. Its unique properties make it valuable for spacecraft design, deployment mechanisms, and even protective shields. Spacecraft Design: Origami-inspired structures can be folded compactly for launch and then expanded in space, maximizing space utilization and reducing payload volume during transportation. This concept is particularly useful for large structures like solar panels and antennas. Deployable Structures: Origami techniques enable the creation of deployable structures that can unfold or expand upon reaching their destination in space. For example, solar sails and antennae can be folded for launch and then unfold to their full size in orbit, maximizing surface area and functionality. Packaging and Storage: Origami's ability to fold and unfold in a controlled manner makes it ideal for packaging delicate equipment and instruments for space missions. By minimizing space requirements during transportation, origami helps reduce launch costs and allows for more efficient use of spacecraft real estate. Radiation Shielding: Researchers have explored using origami-based designs for radiation shielding in space habitats. By folding layers of shielding material in specific patterns, it's possible to create structures that provide effective protection against cosmic radiation while minimizing weight and volume. Artificial Muscles and Actuators: Origami-inspired structures can mimic the movements of living organisms, making them useful for developing robotic systems and mechanisms for space exploration. These "artificial muscles" and actuators can be lightweight, flexible, and durable, making them well-suited for use in harsh space environments.

Did you know about this amazing math trick ?? Kindly share if you loved it!

Even though each dot moves in a straight line, their combined movement can result in a circular motion! This happens due to the clever phase shifts and synchronization between their linear paths. The resulting motion is a beautiful circle, often seen in physics and engineering, like in rotating machinery or wave interference. ?? Key Example: Imagine dots on spokes of a wheel—straight motion at one end leads to circular motion at the center!

Imagine you have a box of toys, and you want to sort them into two groups: one group for toys that are red, and another group for toys that are not red. In a binary system, everything is sorted into one of two groups, just like sorting toys into red and not red. In computers, instead of toys, we have something called “bits.” These are tiny units of information that can be either a 0 or a 1. Just like sorting toys, computers sort these bits into two groups: 0 or 1. This is the basic idea of how a binary system works - everything is organized into either a 0 or a 1. Computers use these Os and 1s to represent all kinds of information, like numbers, letters, colors, sounds, and more. By arranging these Os and 1s in different patterns, computers can do all sorts of amazing things, like showing pictures on a screen, playing music, or even talking to you! ?? knowledge.network/Tu

To understand the unit circle, the sine and cosine functions, and why cos2(x) + sin2(x) = 1 ??

Visual proof that: 6 ? (12 + 22 + ... + n2) = (n) (n+1) (2n+1) ?? Beau Janzen / reason4math

If someone asks why mathematics is so important: show them this video ??