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Given a differential operator D on the space of differential forms, an eigenform is a form alpha such that Dalpha=lambdaalpha (1) for some constant lambda. For example, on ...

The involute of an ellipse specified parametrically by x = acost (1) y = bsint (2) is given by the parametric equations x_i = ...

The parallel curves for (outward) offset k of an ellipse with semi-axis lengths a and b are given by x_p = (a+(bk)/(sqrt(a^2sin^2t+b^2cos^2t)))cost (1) y_p = ...

Given a spheroid with equatorial radius a and polar radius c, the ellipticity is defined by e={sqrt((a^2-c^2)/(a^2)) c<a (oblate spheroid); sqrt((c^2-a^2)/(c^2)) c>a (prolate ...

A n-gonal cupola adjoined to a 2n-gonal prism.

Johnson solid J_(16).

Johnson solid J_(41).

A pentagonal rotunda adjoined to a decagonal prism which is Johnson solid J_(21).

An n-gonal pyramid adjoined to an n-gonal prism.

Johnson solid J_(19).