Artists
Statement
I create wood-carved sculptures of mathematical surfaces, geometric shapes, and mathematical knots to uncover the inherent beauty of mathematics in forms that present the highest level of challenge for wood carving. My work marries the precision of modern Computer-Aided Design (CAD) tools and Computer Numerically Controlled (CNC) processes with the craftsmanship of hand-carving, resulting in intricate geometric sculptures that celebrate the artistry of both technology and traditional woodworking.
Artworks
Geometric sculpture of mathematical surface with rotational symmetry of order 5 developed by Patrice Jeener (b. 1944) in 2020. Sculpture carved from Padauk wood.
Size: 7.5 cm x 7.5 cm x 7.5 cm
Mathematical implicit equation: $16z^5-20z^3+5z+x^5-10x^3y^2+5x y^4=0$
Geometric sculpture of mathematical surface studied by Alfred Clebsch in 1871. It is known as Clebsch diagonal cubic surface. 27 straight lines can be defined on the Clebsch surface. Sculpture carved from Maple wood.
Size: 6 cm x 6 cm x 7.5 cm
Mathematical implicit equation: $81(x^3+y^3+z^3)-189(x^2y+x^2 z+y^2 x+y^2 z+z^2 x+z^2 y)+$ $54x y z+126(x y+x z+y z)-9(x^2+y^2+z^2)-9(x+y+z)+1=0$
Presented Seifert surfaces of mathematical knots were manually modeled into 3D objects in CAD software "Fusion" with visual help of "SeifertView" by Jarke J.van Wijk, (at Technische Universiteit Eindhoven).
Geometric sculpture of Seifert surface bound by Prime Knot $3_1$, also known as Trefoil Knot. Carved from American Walnut wood.
Size: 7.5 cm x 5 cm
Geometric sculpture of Seifert Surface bound by Prime Knot $4_1$ (figure eight knot). Carved from African Rosewood (Bubinga) on Bubinga stand.
Size: 5 cm x 8 cm x 14 cm