Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_name_29 (edges INTEGER, dual_archimedean_solid VARCHAR, vertices VARCHAR)

### Question ###
Which Edges have a Dual Archimedean solid of truncated icosidodecahedron, and Vertices larger than 62?

### Accurate SQL ###

SELECT MIN(edges) FROM table_name_29 WHERE dual_archimedean_solid = "truncated icosidodecahedron" AND vertices > 62