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Many scientists use various models in the course of their work. For this reason, a simple and efficient model is required. The Swiss model, also known as the Gute model, is a very simple two-dimensional solvable model to create equilibrium trees with a maximum of 5 internal line intersections. It is a method used in many research projects and to demonstrate that a model is structurally unstable.

The Swiss Model

In 1872, Friedrich Schwefel discovered the first solution of the Gute model. This solution consists of a single tree, with a total of four internal intersections. Schwefel published his findings in a book titled Über ein Extremgestell[1].

The Schwefel Pendant is a popular variant of the Gute model, with a total of 12 internal intersections.

The Gute model is based on the following constraints:

All line segments must have two internal intersections.

The ends of the line segments must be aligned with each other.

The final tree should be solvable on a 2D sheet.

The Swiss model consists of the following steps:

Draw a line segment with an endpoint.

Line segments with no intersections with the endpoint must be oriented clockwise or anticlockwise to the endpoint. These line segments are joined with the endpoint to form a new segment.

The new segment will be a line segment with two new internal intersections.

The line segment with two new intersections is oriented clockwise or anticlockwise to the endpoint.

The new endpoint is formed by the two endpoints of the line segments.

The last step can be repeated up to five times. When a solution is found, the number of intersections within the tree is recorded.

Swiss model

An example of the solvable solution of the Schwefel Pendant:

Casa Model for the Swiss Model

The Casa model is a variant of the Swiss model. It is named after Antonin Casa, who first proposed it as an example of a solution for the Schwefel Pendant.[2] It was developed by Armin Seybold and Christian Seybold, as a variation of the Swiss model.

The Casa model has the following restrictions:

All line segments have an endpoint.

The endpoint cannot be aligned with a line segment with one or zero intersections.

The last endpoint of a line segment must be aligned with the first

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External links

Autodesk—Official Autodesk website
Autodesk Autodesk 360—Official Autodesk 360 website
Autodesk AutoCAD Crack Mac documentation
How to get started with AutoCAD Crack Mac—Autodesk wiki.

Category:1985 software
Category:Computer-aided design software
Category:Computer-aided design software for Windows
Category:Computer-aided design software for Windows 3.1 clients

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