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A number of attractive 6-compounds of the regular icosahedron can be constructed. The compounds illustrated above will be implemented in a future version of the Wolfram ...

The incentral circle is the circumcircle of the incentral triangle. It has radius R_I=(sqrt(abcf(a,b,c)f(b,c,a)f(c,a,b)))/(8Delta(a+b)(a+c)(b+c)), (1) where Delta is the area ...

The Lucas central circle is the circumcircle of the Lucas central triangle. The center, radius, and circle function appear to be complicated, and neither the center nor the ...

The boundaries of the cells of a Voronoi diagram.

AW, AB, and AY in the above figure are in a harmonic range.

The curve with trilinear coordinates a^t:b^t:c^t for a given power t.

The dual polyhedron of the small dodecicosahedron U_(50) and Wenninger dual W_(90).

Trisection is the division of a quantity, figure, etc. into three equal parts, i.e., k-multisection with k=3.

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There are two types of squares inscribing reference triangle DeltaABC in the sense that all vertices lie on the sidelines of ABC. The first type has two adjacent vertices of ...