**The vertices of the solids touch the surface of the circumscribed sphere, the centre points of the polyhedron surfaces lie on the inner sphere.
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**Cones can be circumscribed within the Metaeder, in our example as a double cone inside a cube.
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**Sectional planes through a cone produce:
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**parallel to its base - a circle**

**obliquely to its base - an ellipse**

**parallel to its surface line - a parabola**

**parallel to its axis - an hyperbola**