<p>Radial germs of holomorphic foliations in dimension two have a characteristic property: they are the only singular foliations whose reduction of singularities has no singular points. We also know that they are desingularized by a single dicritical blowing-up. Let us say that a foliated space <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((({\mathbb {C}}^3,{\textbf{0}}),E,{\mathcal {F}})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mrow> <mo stretchy="false">(</mo> <msup> <mrow> <mi mathvariant="double-struck">C</mi> </mrow> <mn>3</mn> </msup> <mo>,</mo> <mn mathvariant="bold">0</mn> <mo stretchy="false">)</mo> </mrow> <mo>,</mo> <mi>E</mi> <mo>,</mo> <mi mathvariant="script">F</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> is <i>almost radial</i> when it has a reduction of singularities without singular points; it will be “radial” under a certain additional condition on the morphism of reduction of singularities. We show that the radial condition corresponds to the “open book” situation. We end the paper with a discussion on the general almost radial case.</p>