Cap-replaced convex

Nets whose realization carries exact square or pentagon pyramid caps (planar unit ring, diagonals √2 or φ, tol 1e-4) and becomes CONVEX when every cap is replaced by its flat polygon — all 50 such prime nets v ≤ 30 (decap_search.py over the census coordinates).

v7CCCACACAAE v=7 · 0 sq, 2 pent · square pyramid
v9CCCACCACACAAAE v=9 · 3 sq, 0 pent · triangular prism
v10CCCACCACACAACAAE v=10 · 2 sq, 0 pent · biaug. triangular prism
v11CCCACCACACCACAADEE v=11 · 2 sq, 0 pent · gyrobifastigium
v12CCCACCACACCACACAAABE v=12 · 2 sq, 0 pent · sphenocorona
v12CCCACCACACCACACDEAAE v=12 · 4 sq, 0 pent · square antiprism
v12CCCACCACACCACACDEABE v=12 · 4 sq, 0 pent · cube
v13CCCACACCACCACACAACAABE v=13 · 2 sq, 0 pent
v13CCCACCACACCACACACAAABE v=13 · 3 sq, 0 pent · sphenocorona
v14CCCACCACCACCACACAACDEDEE v=14 · 2 sq, 0 pent · icosahedron
v14CCCACCCACCACCACAACDEDEBE v=14 · 6 sq, 0 pent · elong. tri. bipyramid
v15CCCACCACACCACACCAACACDEABE v=15 · 3 sq, 0 pent
v16CCCACCACACCACACACAACACAACAAE v=16 · 2 sq, 0 pent
v16CCCACCACCACCACACCACAACAADEBE v=16 · 3 sq, 0 pent
v17CCCACCACACACACCACACACACACADEAE v=17 · 1 sq, 0 pent
v17CCCACCCACCACCACAACCAACAACAAAAE v=17 · 3 sq, 0 pent · hebesphenomegacorona
v17CCCACCCACCACCACAACCAACDECAAAAE v=17 · 5 sq, 2 pent
v18CCCACCACACCACACCAACACCAACACDEABE v=18 · 2 sq, 0 pent
v18CCCACCCACCACCACAACCAACACACAAABBE v=18 · 2 sq, 0 pent
v18CCCACCCACCACCACAACCACAACAACAABBE v=18 · 6 sq, 0 pent · sphenomegacorona
v18CCCACCCACCACCACACACAACAACAAACAAE v=18 · 2 sq, 0 pent
v18CCCACCCACCACCACACCAACAACAADECAAE v=18 · 6 sq, 0 pent · cubocta / tri. orthobicupola
v19CCCACCACACCACACACACACCACAACACAAABE v=19 · 2 sq, 0 pent
v19CCCACCACCACACACCACACCACACACAADEDEE v=19 · 4 sq, 0 pent
v19CCCACCCACCACCACACACACAACAACAACAAAE v=19 · 3 sq, 0 pent
v20CCCACCACCACACACCACACCACACACAACAAAABE v=20 · 2 sq, 0 pent · cubocta / tri. orthobicupola
v20CCCACCCACCACCACAACCAACCAACCAAACAAAAE v=20 · 4 sq, 0 pent · snub square antiprism
v20CCCACCCACCACCACAACCACACDECACAAACADEE v=20 · 6 sq, 0 pent
v21CCCACCACACCACACCAACACCAACACCAACACDEABE v=21 · 2 sq, 0 pent
v21CCCACCCACCACCACACACCACAACAACACAACAAAAE v=21 · 3 sq, 0 pent
v21CCCACCCACCACCACACCAACAACACACAACCAAABAE v=21 · 3 sq, 0 pent
v22CCCACCACACCACACACACACCACAACACAACACAACAAE v=22 · 2 sq, 0 pent
v22CCCACCACACCACACCACACACCACACACACACAAABABE v=22 · 3 sq, 0 pent
v22CCCACCCACCACCACACCAACACACAACAACCAABACAAE v=22 · 0 sq, 2 pent
v24CCCACCACACCACACCAACACCAACACCA…CACDEABE v=24 · 2 sq, 0 pent
v24CCCACCCACCACCACACCAACAACACCAC…ACAADEAE v=24 · 6 sq, 0 pent · elong. tri. gyrobicupola
v24CCCACCCACCACCACACCACACACACACA…ACAAABAE v=24 · 1 sq, 0 pent
v25CCCACCACACCACACACACACCACAACAC…CACAAABE v=25 · 2 sq, 0 pent
v26CCCACCCACCACCACACACCACACACACA…ACADEAAE v=26 · 4 sq, 0 pent
v26CCCACCCACCACCACACCAACACACACCA…AADECAAE v=26 · 4 sq, 0 pent
v27CCCACCACACCACACCAACACCAACACCA…CACDEABE v=27 · 2 sq, 0 pent
v27CCCACCACACCACACCACACACCACACAC…CACAAABE v=27 · 1 sq, 0 pent
v28CCCACCACACCACACACACACCACAACAC…ACAACAAE v=28 · 2 sq, 0 pent
v28CCCACCCACCACCACAACCACACCAACCA…AAACADEE v=28 · 4 sq, 0 pent
v29CCCACCCACCACCACAACCACACCACACC…CAABBABE v=29 · 6 sq, 0 pent
v30CCCACCACACCACACCAACACCAACACCA…CACDEABE v=30 · 2 sq, 0 pent
v30CCCACCACACCACACCACACACCACACAC…ACAACAAE v=30 · 2 sq, 0 pent
v30CCCACCACACCACACCACACACCACACAC…CAAABABE v=30 · 2 sq, 0 pent
v30CCCACCCACCACCACACCACACACACACA…BCAADEAE v=30 · 3 sq, 0 pent
v30CCCACCCACCACCACACCACCACACCACA…DEAACAAE v=30 · 6 sq, 0 pent