Construction of the polygonal and faceted polyhedral elements with high order completeness based on the scaled boundary coordinates

Key Points

• The construction of polygonal and faceted polyhedral elements enhances geometric modeling capabilities, emphasizing high order completeness.
• Key improvements include scalable boundary coordinates, leading to more sophisticated and flexible design methods.
• Observational analysis across various geometric configurations reveals novel approaches to polyhedral element construction.
• This work may enable advancements in computational geometry and architectural design through improved modeling techniques.