pythagoras theorem images 3d models

The timeless Pythagorean theorem challenge from the 1970s is being utilized as a rigorous benchmark to evaluate the accuracy of my state-of-the-art three-dimensional printing technology.

This Pythagoras Glass was my introduction to fusion 360, so don't expect perfection. The idea is that if you pour too much into the glass, everything drains out from the bottom. ...I haven't printed this model yet because I lack a printer; I'll update...

I'm thrilled to share my latest creation, the human-sized mug rendition of the famous "Pythagoras Cup". ...If you've enjoyed my craftsmanship and would like to show your appreciation, consider treating yourself or a friend to a cup of coffee as a small...

This design is based on the principle of the Pythagorean (Pythagoras) cup. The main features of this design are that the drain tube is hidden within the handle and that the hole inside the mug is hidden from view by an overhanging lip. The...

Unlike conventional pythagoras cups, the inlet tube is discreetly positioned on the side rather than at the center. This design makes it easier to surprise unsuspecting users by releasing water suddenly when held upright and filled quickly. The...

having an understanding will make using it so much easier. I have created this model to help demonstrate the beautiful simplicity of Pythagoras. Using this kit will help students actually understand why the equations work and what they mean rather...

The Pythagoras Tree is a fractal born from a simple yet intricate process. Start with a square and create two duplicates that are scaled down by the precise fraction of sqrt(2) / 2. Place these duplicate squares atop the original square so that the...

Triangles for proving the Pythagorean theorem.

The right triangle altitude theorem or geometric mean theorem is a result in elementary geometry that describes a relation between the altitude on the hypotenuse in a right triangle and the two line segments it creates on the hypotenuse. ...It states...

... a rectangular prism with a right triangle embedded on one side and another passing through its core. ...The design effectively illustrates the application of the Pythagorean theorem in calculating the diagonal length of a three-dimensional object.

This model is used as a geometric proof of the Pythagorean theorem. ...To that proof you need to print 8 x triangle, 1 x large, medium and small square.

This model can be filled with some fluid or anything else, that can fall through the connecting corridors and is used to prove Pythagorean theorem. ...To complete that model, you need to cover it with plexiglass or something like that.

... By using this model, we aimed to help students grasp the geometric significance of the Pythagorean theorem. Following construction on a 3D printer, students were able to visually comprehend and confirm the theorem's proof in their own hands.

I designed this model to illustrate the Nicomachus theorem from number theory, which describes how the sum of cubes of the first N integers is equal to the square of their total. Specifically, it states that 1^3 + 2^3+ 3^3 + ... N^3 = (1 + 2 + 3 +...

This models visualizes the theorem of Thales. The fixed piece symbolizing on vertex can be moved along the semicircle while being connected to the other two verteces. Some minor post-precessing (e.g. filing the pins and/or holes) might be...

This is a simple visualization for the inscribed angle theorem that is supposed to make teaching geometry easier. As a student I think that learning geometrical principles is way more interesting when you can try things in real life and with your own...

Euclidean theorem for right triangle describes a relation between the cathetus and two line segments that altitude creates on the hypotenuse. Each leg of the triangle is the mean proportional of the hypotenuse and the segment of the hypotenuse that...

I designed this visual aid for math teachers to bring the Pythagorean theorem to life in an engaging way. The cubes fill up the A and B sides before combining to form the C side. To maximize its effectiveness, magnets fit perfectly into the small...

I found four educational videos of visual proofs for my students which I am using with my classes to supplement our learning on the Pythagorean Theorem. These videos feature visual aids exclusively, eliminating any reliance on audio explanations that...

This particular puzzle has more pieces than my other Pythagorean Theorem puzzles and features additional triangles, as well as two frame components that fit together snugly (printing these components separately resolved an issue with attempting to...

This allows visual learners to work with the Pythagorean Theorem and see how it really works, so they don't just memorize the formula but also understand what that formula means. (B.B., C.F., and R.H., MAT 363 Fall '16) Inspired by xoan's version:...

# Pythagorean Theorem Pieces One of my favorite Pythagorean proofs involves a square having sides that are "a+b" long. This is a physical example of that proof with two different sizes of "a" and "b". * Print four of the right triangles and one of...

I designed a box showcasing the Pythagorean theorem for a math teacher colleague, demonstrating how students could build it themselves. To make this box, I used a laser cutter and 5mm-thick HDF wood. I combined two different SVG files, adjusting...

This is a Taylor's Theorem approximation created in Mathematica version 10 for George Mason University Math 493: Mathematics Through 3D Printing. The project demonstrates Taylor's theorem by giving an approximation to the cosine function. The Taylor...

This is a simple manipulative that shows how the Pythagorean Theorem can be proven using rearrangement.We start with a tray with a fixed internal area equal to (a+b) squared and four identical triangles with sides of length a, b and c.If we arrange...

I discovered three engaging videos featuring visual demonstrations of the Pythagorean Theorem, which I've chosen to incorporate into my classes. I appreciate these videos because they solely focus on visuals, offering students an immersive experience...

This allows visual learners to manipulate the theorem, making it easier for them not only to memorize the formula but also to understand its meaning. (B.B., C.F., and R.H., MAT 363 Fall '16) Citation: Our design project was inspired by mshscott's...

These two distinct shapes, Region E and Region F, are designed to be a crucial part of a multivariable calculus lesson on three-dimensional solid regions and the principles of Fubini's Theorem and Cavalieri's Principle. Students receive two sets of...

Pythagoras of Samos (570–495 BC) was an Ionian Greek philosopher and mathematician who laid the groundwork for the influential Pythagoreanism movement, rumored to be its founder. ...Revered as a brilliant mathematician and scientist, he is especially...

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