Wingeom Samples for Windows 95/98/ME/2K/XP/Vista/7

Many of the constructions are animated by the # slider, or the $ slider, or both.

Nets (12 July 10) contains nets for all eighteen Platonic and Archimedean polyhedra.


Samples (12 July 10) contains several diverse demonstrations, as follows:

The rhombic dodecahedron tiles 3-space, as suggested by rhdodecalatt.

120cell is a two-dimensional picture of a three-dimensional projection of a famous four-dimensional polytope. Move the # slider to take a Hamiltonian tour of all 120 dodecahedra.

fivecubes is a compound of five cubes, using the vertices of a regular dodecahedron.
fiveoctahedra is a compound of five octahedra, using the vertices of the Archimedean icosidodecahedron.
fivetetrahedra is a compound of five tetrahedra, using the vertices of a regular dodecahedron.

octahedron2 dissects an octahedron into tetrahedra and smaller octahedra.
tetrahedron2 dissects a tetrahedron into an octahedron and smaller tetrahedra.
binomcube shows a 27-piece dissection of a cube that is based on the expansion of (m+1)^3.

A famous result of Archimedes states that the volume of a cylinder equals the combined volume of an inscribed cone and an inscribed sphere.

The Pythagorean Theorem is illustrated by pythag1, pythag2, and pythag1.

Henry Dudeney devised a famous simultaneous dissection of a square and an equilateral triangle, illustrated by sqtr1 and sqtr2.

How many cubes do you see in cubes? This is a familiar optical illusion produced by drawing a couple of hexagons and doing some coloring.

The unit-circle definition of sine and cosine comes to life in circfns.

parab is a dynamic tangent-line construction for parabola. Drag either the focus or the bulleted point on the directrix. If you drag the focus, you should first enable Anim|Monitor Tracing, so that the parabolic tracing will be updated as you go.
parabola is like the preceding, except that the # slider controls the point on the directrix.
parabenv is like the preceding, except that the tracing shows an envelope of tangent lines.

Any quadrilateral can be used as a tile, as illustrated by checkers. Drag the bulleted points (gently) to alter the fundamental region.


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