## Virtual Laboratory

creative software environments

## MathKit 6

dynamic mathematics software

 We Offer cooperation What Can You Do with the models we make Sample Models in new html5 format More About MathKit objects, tools, formats

# SAMPLE MODELS

## 3D Workshop

### 3D models in a 2D Environment

Having been designed, predominantly, as an aid in the study of plane geometry, two-dimensional dynamic geometry software, in particular, MathKit proved to be a convenient environment for the construction of and work with 3D models as well. Compared to models constructed with specialized 3D dynamic software, the activities created with two-dimensional DGS have a simpler interface, require more spatial imagination, and in general are more like ordinary constructive paper-and-pencil problems of solid geometry. These features, we believe, make such 2D implementations of 3D activities more instructive and efficient from the viewpoint of studying solid geometry at early stages.

#### Models of Polyhedra Three rotating models of basic polyhedra (a cube, quadrilateral pyramid, and triangular prism) are supplied with tools that allow you to create simple 3D illustrations of various solid geometry problems. Constructions attached to the figures will rotate with them as the sliders that control the view of the figures are dragged.

#### Drawing a cube section through the three points on the edges Draw the section of the cube ABCDA'B'C'D' by the plane that passes through the three points K, L, and M given on the edges AD, BB', and D'C', respectively.

#### Drawing a cube section through the three points on the faces Draw the section of the cube ABCDA'B'C'D' by the plane that passes through three points K, L, and M given on the faces ABCD, A'B'C'D', and BCC'B', respectively.

#### Drawing a pyramid section through the three points on the faces Rotating the pyramid, determine the faces on which points K, L, and M lie and construct the section of the pyramid by the plane KLM.

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