ref - antiprism

Author: valbert4

codes/classical/spherical/polytope/3d/antiprism/antiprism.yml

@@ -16,14 +16,16 @@ protection: |
   The antiprism vertices consists of two \(q\)-gon vertices with the \(q\)-gons rotated by \(2\pi/q\) degrees.
   The relative height and radii of the \(q\)-gons can be modulated while still staying on the sphere.
   For the case when the two \(q\)-gons are such that the \(q=2,3\) cases reduce to the tetrahedron and octahedron, respectively, the antiprism is a spherical 3-design for \(q \geq 3\), and a \(2\)-design for \(q=2\) \cite{manual:{V. V. Albert, private communication, 2025.}}.
+  This can be seen as a consequence of \cite[Lemma 6.11]{doi:10.1007/s00010-024-01036-6}.
 # transversal 002 - real design test
 
 
 relations:
   parents:
     - code_id: polyhedron
+  cousins:
     - code_id: spherical_design
-      detail: 'For the case when the two \(q\)-gons are such that the \(q=2,3\) cases reduce to the tetrahedron and octahedron, respectively, the antiprism is a spherical 3-design for \(q \geq 3\), and a \(2\)-design for \(q=2\) \cite{manual:{V. V. Albert, private communication, 2025.}}.'
+      detail: 'For the case when the two \(q\)-gons are such that the \(q=2,3\) cases reduce to the tetrahedron and octahedron, respectively, the antiprism is a spherical 3-design for \(q \geq 3\), and a \(2\)-design for \(q=2\) \cite{manual:{V. V. Albert, private communication, 2025.}}. This can be seen as a consequence of \cite[Lemma 6.11]{doi:10.1007/s00010-024-01036-6}.'
 
 
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