An e -book created by ''Inspired by geometry'' project members telling the geometry around us and benefits in daily life in different fields noticed.

GEOMETRY AROUND US

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Innovation&nbsp;is the practical implementation of&nbsp;ideas&nbsp;that result in the introduction of new&nbsp;goods&nbsp;or&nbsp;services&nbsp;or improvement in offering goods or services. Geometry is the tool for developing many industrial products.&nbsp;The introduction of digital production technologies requires new geometric research for the design and development of 3D modeling software. In robotics, architecture, and various other fields, geometric insights have also led to remarkable innovations.

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Mathematics has always played an important role in architecture, in the past just as in the present. Despite this continuity, however, reconstructing exactly how the relationship between architecture and mathematics worked in an ancient culture may prove rather complicated.

Ancient Egyptians are most important society  in architecture history. The most successful among the geometrical figures applied to ancient Egyptian architecture (with or without a precise connection with the Golden Section), was the triangle. In particular, three triangles: the 3-4-5, the equilateral and the triangle called ‘Egyptian’ by Viollet-le-Duc and 8:5 by Choisy and Badawy. The first is a right-angled triangle which belongs to a peculiar group of right-angled triangles in which all the three sides correspond to whole numbers. The second is a triangle with three equal sides, while the third is an isosceles triangle (two sides equal and one different) in which the ratio between the base and the height is about 8:5. Originally, as we shall see in the next paragraph, in Viollet-le-Duc’s suggested theory the equilateral and the ‘Egyptian’ or 8:5 triangle were geometrically connected, the latter depending on the former. 

Hello everyone:) Me and my friends decided to make cookies on the subject of "cooking"

First of all, we designed the geometric shapes that we decided together with my friends to use in our cookies with the Tınkercad application, 

We printed out the shapes we designed with the 3D printer at school.

We also have innovations in new ways of teaching geometry using different AR, VR and 3D technologies and the like. New innovative ways of teaching geometry help students to better understand various mathematical concepts.

Izrađujemo 3D modele

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Caves remind me a form of a square

Archery and chess are sports fields where geometry is frequently seen.

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What Is Geometric Design?

Geometric patterns are often used in textile design. Some of the most popular geometric patterns used in textiles include stripes, polka dots, and chevron patterns. Geometric patterns can be used to create a modern and minimalist look in textile design.

Geometry in Textile Design - Video & Lesson Transcript | Study.com

Peacock should be called the king of geometry...

The armour of the saddleback tortoise is made up of similar polygons.

Another interesting aspect of Geometry in animals is the use of stripes or spots of distinctive geometric shapes, which help the animal hide from predators.

When we start talking about symmetry, the first thing we think of is the butterfly.

The geometric shape of the planes in different sports fields is remarkable.

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You can find geometric shapes almost everywhere in nature. animals, trees, Be careful when you look at flowers or even celestial bodies. Maybe a circle, square, oval, triangle or And you see another geometric shape. And when you go out and observe your surroundings...

... the shape of most evergreen tree species resembles a triangle when viewed from the front,

... of honey bees in honeycombs each of your eyes hexagonal is,

... In this photograph what you see morning glory flower of the plant some flowers like pentagon of the shape looks like,

... a cut off tree trunk on immediately straight away to a circle similar shapes exists,

We made geometric measurements with my students.

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About geometry in chemistry you can see in the video.

Volaspire - Air Habitat/Transportation System

Geometry is used in the design of sustainable transportation systems. Engineers use geometric principles to design efficient and safe transportation networks, such as bike lanes and pedestrian paths. For example, circular roundabouts can reduce traffic congestion and improve safety for cyclists and pedestrians.

Sustainable transport around the word

A circle - shaped deposit is formed around the rock

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Geometry of Architecture

As for circles, you might think they’re rarely used in buildings but that’s not true in reality. Sure, you don’t&nbsp;see&nbsp;them as much, but they’re doing a lot of the legwork in things like domes and arches. They work well in sustainable architecture for a number of reasons (e.g. less material is needed overall; they allow wind to flow more easily around them), and they are nearly as strong as triangles because stress is distributed evenly across the whole shape. However, circles are much harder to work with (imagine cutting a square of wood, then imagine cutting a circle).&nbsp;

Architecture without geometry would be impossible. Buildings would collapse (or look awful) if the proper calculations weren’t made. But there’s another reason why 21st century architects are especially interested in this subject. the triangle is the ‘strongest’ shape, because it can’t be distorted. A rectangle will become a parallelogram if it’s pushed hard enough, but a triangle always holds its form. That’s why it’s so often used in bridges, roofs and electricity pylons, whose collapse would be disastrous. It also tessellates beautifully, of course.

style patterns that follow the principles of tessellation

Fashion designers use geometry in a variety of ways in their designs. Some common ways include using geometry to create patterns, choosing colors, and creating silhouettes.&nbsp;

The most popular diamond cut is the round brilliant cut which has 58 facets and is designed to maximize the diamond’s brilliance and fire.

Geometric shapes and patterns are often used in jewelry design. Some of the most popular geometric shapes used in jewelry include circles, squares, triangles, and hexagons. Geometric shapes are often used to create a modern and minimalist look in jewelry design.

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Drawings made by my students in 3D format

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MEASUREMENT

The lean of the tower of Pisa is 5,5 degrees.

Once the wheel turns,it travels as far as its circumference.

Da Vinci wrote, “The workings of the human body are an analogy of the workings of our universe.”

Human Geometry by Sadeck. Is it amazing?

“The drawing itself is often used as an implied symbol of the essential symmetry of the human body, and by extension, the symmetry of the universe as a whole.”

Our little fella sends warm wishes to everyone. 

Hey there, young geometry explorers! Are you ready to discover the world around us through the eyes of geometry? 

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Geometrical design (GD) is&nbsp;a branch of computational geometry. It deals with the construction and representation of free-form curves, surfaces, or volumes and is closely related to geometric modeling. Core problems are curve and surface modelling and representation.

ASTRONOMY - planets are spherical in shape - their orbits are eliptical

BIOLOGY - symetry in nature - golden section found in nature

PHYSICS - lences has geometric shapes - we use geometry in calculating forces

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Geometric measurements are made with the instrument and each measurement is expressed in units.

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Stained glass is glass coloured by adding metallic salts when it is made. The coloured glass is made into stained glass windows. Small pieces of glass are arranged to form patterns or pictures. The glass is held together by strips of lead and supported by a rigid frame. Painted details and yellow stain are often used to improve the design. The term stained glass is also applied to windows in which the colours have been painted onto the glass and then fused to the glass in a kiln. It is still popular today, and often called art glass.[2] It is often used in luxury homes and commercial buildings.[3]

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Geology is broadly the study of the Earth and other  planets, moons and smaller planetary bodies. Fields of geology range from the initial formation and differentiation of the Earth to modern surface processes, such as erosion, and soil formation, and include Earth systen history and the evolution of life.

Geometry is used in recycling and waste management to sort and process different materials efficiently. For example, sorting machines use geometric algorithms to separate plastic, metal, and paper waste, and recycling facilities use geometric principles to compact and transport waste materials.

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Mostly we created our contents using bookcreator app components and apps . We selected images or photos from the free library ,we used Canva components to create pictures,for animated pictures gif app.Mostly videos are embedded from Youtube for free or common creations licenced.

Educational Websites: Researched from educational websites like Khan Academy, MathWorld, or MathIsFun, which offer resources and articles explaining the applications of geometry in various real-life contexts. Online Forums and Communities: Engage with online forums, discussion boards, or social media groups that cater to mathematics enthusiasts or educators. These platforms often foster knowledge sharing and can provide insights or real-life examples of geometry in everyday contexts. Documentaries and Videos: Researched and embedded videos like documentaries, educational videos, or lectures available on platforms like YouTube or educational websites. These visual resources can provide real-life examples and explanations of geometry in various contexts.

The system that allows us to reach the destination address in the shortest possible time is called navigation. If it had been found in ancient times, perhaps we would have called navigation navigation. Thanks to this system that provides road guidance, we can easily reach an address we have never been to before without getting lost.

The components that make up the navigation system are software, hardware and map.

As equipment, it is able to detect the location of people on the earth by using the GPRS signal. When GPRS is used extremely effectively, it is very useful for locating and marking locations.

Then we made cookie dough and shaped the dough with our designs. After placing it on the tray, we decorated it as we wanted and cooked it.

Sports equipment in various disciplines are examples of geometric shapes.

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Fibonacci Sequence in Nature

When we look at a tree, we are actually looking at a mathematical beauty. Plants and trees follow the Fibonacci sequence. Each number in the Fibonacci sequence is equal to the sum of the two numbers before it. For example: 1,1,2,3,5,8,13,21,… In order to detect the Fibonacci sequence in a tree, we need to calculate the number of leaves in the direction of a selected leaf, with the number of turns until a new leaf is encountered.

<a href="https://www.un.org/en/climatechange/what-is-renewable-energy#:~:text=Renewable%20energy%20is%20energy%20derived,plentiful%20and%20all%20around%20us.">Renewable energy</a>

Geometry is also critical in sustainable agriculture. Farmers use geometric principles to optimize the use of space, water, and nutrients in their fields. For example, using triangular plantings can increase crop yields, and designing irrigation systems using circular shapes can reduce water waste.

 Geometry plays a vital role in developing renewable energy technologies. Engineers use geometric principles to design solar panels, wind turbines, and other renewable energy systems that capture and convert energy from natural resources. For example, solar panels are designed using hexagonal shapes to maximize the surface area exposed to the sun.

Finally, we distributed our cookies to our teachers and friends and informed them about our project.

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...when you look very closely most of the black grains the shape inside is hexagon.You may notice that it looks like.

The pattern repeats itself to a smaller and smaller size. Therefore, when we magnify a portion of a geometric fractal, it looks exactly like the original. The fern is one of the best examples of this.

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Nature offers us the beauty of mathematics in itself. Fractal geometry is also known as the geometry of nature. Speaking of snowflakes, let's talk about fractal geometry.

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Introduction-Sevinç Kılıç -Liuda Mikelaitienė &amp;students Human and animals-Liuda Mikelaitienė students Nature- Büşra Topcu &amp; student Science-Jana &amp; students Geology-Inga &amp; students Cooking-Merve Duman &amp; students &nbsp;Mesasurement-Aslı Eren &amp; students Sports-Cansu Küçük &amp; students Art-Polia(inga) &amp; students Fashion-Sanem Pak &amp; students Design-Tea Alimbrashivili &amp; students Architechture-Şeyda Dalkılıç &amp; students Navigation-Berivan Ekinci &amp; students Innovation-Marijana Karničnik &amp; students Sustainable Future-Sevinç Kılıç &amp; students

Spherical geometry is important in navigation because the shortest distance between two points on a sphere is the path along a great circle.&nbsp; Euclidean geometry is also used in navigation.&nbsp;<a href="http://www.science4all.org/article/euclidean-geometry-and-navigation/">In order to navigate on a ship or on land, you need to know two basic facts: which direction you’re heading and how far you have traveled</a>.

Examples of geometry in architecture

The patterns on the&nbsp;gopuram&nbsp;(entrance tower) divide and repeat as they ascend – just as in they do towards the edges of a snowflake or a leaf. The temple is example of fractal architecture.

1. Virupashka Temple , Hampi&nbsp;

This house by Soviet architect and artist Melnikov, who refused to build in the style demanded by Stalin, is one of the few cylindrical buildings that has stood the test of time. It actually comprises two cylinders, made of bricks in a honeycomb lattice formation, with asymmetrically-organized hexagonal windows.

2. Milenkov House

The CN Tower was the world’s tallest tower for over three decades (Guangzhou’s Canton Tower swiped its crown in 2009), a title you don’t win without the help of geometry. The ratio of the observation deck to the tower’s total height is 0.618, taking into account the principle of the golden ratio.&nbsp;

INTRODUCTION In this common product we explained the relationship between geometry and other areas by students researches. Geometry is intricately intertwined with our daily lives and the world around us. We encounter geometry in various forms, whether consciously or subconsciously, throughout our day. From the shapes and structures of buildings we inhabit to the patterns and arrangements in nature, geometry is ever-present. It guides the design of our furniture, the layout of our cities, and the functionality of our gadgets. We witness geometry in the symmetry of a flower, the spirals of seashells, and the fractal patterns in a tree branch. Even our own bodies follow geometric principles, with proportional measurements and intricate networks of bones and muscles. Geometry is not merely a subject studied in textbooks; it is a language that speaks to us through the world we inhabit, enriching our experiences and offering insights into the fundamental order and beauty of the universe.

Human and animals

Looking at animals through the prism of geometry can lead to some very interesting...

The kitten's ears resemble a triangle.

Art — a broad concept of human activities that involves the creation of visual, audio or expressive works, conveying the author's imagination or technical talent, the purpose of which is to appreciate beauty or emotional force.

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