150 Irregular Hexagons, Rotating About a Common Axis
There are sixty of the irregaular, pentagonal gaps. Also, the hexagons themselves are of three types, two of which are sixty in number, and one of which is thirty in number.
If the gaps are filled, and the color scheme changed to make each of the four polygon-types into its own color-group, this looks, instead, like this (click on it if you wish to see it enlarged). It has 210 faces.
On the Geography of Eurasia, and Its Major Divisions
By any reasonable non-political definition, Eurasia is a single continent. Its area is 54,759,000 km², which is over one-third the earth’s total land area.
The politics of history have created, however, the “continents” of Europe, with an area of 10,180,000 km² (18.59% of Eurasia), and Asia, with an area of 44,579,000 km² (81.41% of Eurasia). These figures for Asia’s land area include that of…
The Deconstruction of the Compound of Five Cubes
To make the compound of five cubes, begin with a dodecahedron, as seen above. Next, add segments as new edges, and let them be all of the diagonals of all the dodecahedron’s faces. Then, remove the pentagonal faces, as well as the original edges. What’s left is five cubes, in this arrangement. In this (and subsequent) images, simply click on it to see it enlarged.
Using polyhedral manipulation…