solids of revolution visualizer 3d models

This is a 3D printing project I did in order to make it easier to explain solids of revolution in math classes and to allow other people to create their own solids of revolution more easily. Print them out and pass them around in order for people to...

Customized version of https://www.thingiverse.com/thing:5176050 Created with Customizer! ...https://www.thingiverse.com/apps/customizer/run?thing_id=5176050

Enable calculus students to visualize methods for using washers or shells to calculate the volume of areas swept out about an axis – Solids of Revolution. ... This lesson plan does not include assessments to evaluate student understanding of the topic...

These four vases (solids of revolution) all have the inner volume equal to the solid of revolution they are based on. The dimentions are given in cm. Use these as an exercise in math class by calculating the volume of the solids, and testing it...

This solid of revolution was created using the washer method to approximate the area between y=x and y=x^2, with the axis of rotation set at the line y=1.25. The resulting 3D shape resembles a bowl-like object that is curved on its outer surface,...

The solid of revolution is dissected into manageable parts to facilitate a clear understanding of the process for calculating its volume. ...This was accomplished as part of a project undertaken at the Boston University School of Education in the ME565...

This volume can also be calculated using a definite integral at khanacademy.org/math/integral-calculus/solid_revolution_topic/shell-method/v/shell-method-for-rotating-around-vertical-line. For more information about approximating volumes with shells,...

This specific volume can also be calculated using a definite integral at khanacademy.org/math/integral-calculus/solid_revolution_topic/shell-method/v/shell-method-for-rotating-around-vertical-line for those who enjoy calculus. For further details...

The model on the left is a solid created by revolving the area between y=4-x^2 and the x-axis from 0 to 2 around the y-axis, while the model on the right approximates that solid using eight shells. For further information about approximating volumes...

The right model represents an eight shell approximation of that solid. For more information about approximating volumes with shells, visit this link: http://makerhome.blogspot.com/2014/04/day-237-shellmaker.html. An update is available on day 243...

For further insight into the mathematical concept of approximating volumes via shells, refer to MakerHome Day 238 or the blog post on mathgrrl.com. ...The design and accompanying images are licensed under Creative Commons Attribution Non-Commercial...

The model on the right represents an approximation of that solid using eight shells. To learn more about approximating volumes with shells, visit the link provided below. MakerHome Day 237:...

Sword of Revolution from Lineage 2.

This is one of four models employed in Calculus to examine volumes of revolution, and it utilizes washers to produce a solid. ...The accompanying worksheet can be accessed at https://graspthemath.wordpress.com/integral-calculus/, specifically under the...

The Hyperboloid of Revolution depicted here is precisely and intricately designed.

Revolutionary Spheres Unveiled: The Human Form of a Rotating Cylinder The human form is often associated with a three-dimensional shape known as a hyperboloid of revolution. ...This particular type of geometric figure is created when a rotating cylinder...

This is a Perl script that generates a solid figure of revolution, equivalent to a solid figure with a top surface conforming to a single-valued function of r in cylindrical coordinates - z = f(r). The example STL is a normalized sinc function, z(r)...

I created these models in my AP Calculus class after my classmates struggled with understanding volumes of revolution. As a thank you gift to my motivating teacher and in hopes that the next year's students could better grasp the lesson, I built...

If we denote a trigonometric function f(x) as sin(x)/x (except when x equals zero), and assign f(0) with the value of 1, then rotating its graph around the y-axis will yield an intriguing visual representation.

A pair of revolved hyperbolae, one concave and exhibiting cross-sections at the asymptotes, were printed at a 0.2 millimeter layer height accompanied by rafts but without support structures; their outcome was successful.

Mathematicians use solids of constant width to explore fascinating geometric properties and visualize complex concepts.

Made of equal volume and with edges slightly rounded for ease, these five Platonic solids are not just visually stunning but also great learning tools. ...My grandson loves them, and I'm happy to see him learn their names and appreciate their beauty.

Solids of Constant Width are non-spherical solids with a consistent width, regardless of their orientation. ... Check out my article on how we utilized them in the classroom:...

One of the key properties of solids with constant width is that they can be used to create shapes that maintain a consistent volume and surface area, regardless of how they are rotated or positioned in space. This property makes them particularly...

... rotation of a rather distinctive shape of unchanging diameter. ...There are also reuleaux tetrahedra, which aren't solids of constant width (yet extremely close to being one). ...For additional information, check out https://www.rad-head.com.

This is a collection of 8 different solids of constant width. Included models are Meissner tetrahedron, revolved Reuleaux triangle, revolved pentagon, revolved heptagon, and four more. ... All models are made to be the same scale Higher infill or wall...

Solid Shapes of Unwavering Proportions: Watch Demos on YouTube:https://www.youtube.com/watch?v=kGkR7xgBt6Ahttps://www.youtube.com/watch?v=y3UdHsCQpKo Based on a Thought-Provoking Variation:http://www.thingiverse.com/thing:234912 These Two Identical...

This summary outlines five solids of constant width, divided in two halves for enhanced print quality. ... Print Settings: Rafts: Don't worry about it Supports: Not necessary Resolution: The higher the better - I achieved excellent results at 0.1 mm...

I'm thrilled to announce an exciting update to my previous Solid of Constant Width post. This time, I've created a Customizer that I'm confident you'll love just as much as I do! I have to admit, I'm currently obsessed with them and find it...

We endeavored to elucidate the mechanic paradox (a double cone that seemingly reverses direction on the inclined plane) and observe the movement of various rotational solids. The class was divided into five groups of four students each, tasked with...