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Welcome to My Mathematical Art Page!
Welcome to My Mathematical Art Page!
From polytoroids to polyknots, this site showcases over 1,500 examples of models and art inspired by structural geometry—a field where geometric and topological structures, including knots, links, braids, weaves, and surfaces, are built from fundamental elements like points (spheroids, beads), lines (cylinders, rods), polygons (tiles), and polyhedra (solids).
A culmination of 37 years of creativity, my work has evolved from singular constructive sculptures to multiplicative design using Da Vinci design tables, and now to exponential design through the hierarchical organization of STEAM CAD—the conceptual aided design system I invented to optimize creative diversity, efficiency, and productivity.
I invite you to explore and immerse yourself in the world of structural geometry inspired by the dynamism of structural chemistry.
For a quick tour of the beauty of structural geometry on display throughout this site use the category guide below. Click on any category to dive into unique models, artworks, and STEM toys to discover the connections between mathematics and creativity. For a deep dive use the site index to the top right under More. Enjoy your journey!"
3D Printed Sculptures This Roelofs tetrahedral polyknot is 1 of over 100 3D printed mathematical sculptures
Da Vinci Elevations like this one are polyhedra inspired by artist Leonardo da Vinci
There are 100s of Escher Polyknots inspired by artist MC Escher
Fathauer Walkables are stepped for easy hiking or running inspired by artist Robert Fathauer
Grossman Polyknots are inspired by 3D printing pioneer Bathsheba Grossman
Hart Polyknots are 'decentralized' and distinctive to sculptor George W. Hart
Holden Surfaces include polysurfaces like this one inspired by chemist Alan Holden
Kepler Annuloids include 100s of structures like this Kepler link inspired by astronomer Johannes Kepler
Linear Structures including polytoroids like this one and more can be seen here
Metagons are polygons with atomic graphs that can be used to create Kepler Graphs and more
The Miscellanea section has lots of exotics like this one-sided surface
Paper Sculptures include models like this Star Icosahedron
Point Structures are built with points represented by spheroids like this pentafoil knot
Roelofs Polychains are inspired by sculptor Rinus Roelofs
There are over 100 Roelofs Polyknots to explore
STEM Brix are a free to 3D print geometry construction toy for home or classroom
STEM Clipz are another math manipulative for STEMath education
If you like stars, then these Stellations will illuminate
Stewart Toroids include 100s of structures built with polyhedra
Overlapping nets for knots and more can be made with
STEAMath Education
In addition to the artwork showcased here, this site features four mathematical manipulatives and access to my Thingiverse site that features over 750 frree 3D printable designs all intended to support the STEAM education community in teaching structural geometry:
STEM Brix – A print-and-play, LEGO-like construction toy for building geometric structures.
STEM Tilz – A tile-and-connector-based construction system for exploring surface geometry and tessellations.
Metagons – A graphing toy for constructing Kepler graphs and investigating geometric and topological relationships.
Topological Nets – Unlike traditional polyhedral nets, which fold into polyhedra, these overlap, twist, weave, and intertwine to form knots, links, braids, weaves, Kepler-Möbius surfaces, and polyknots.
STEM Clipz - Another STEMath manipulative construction toy that's a fun and easy way to play and learn about geometry and more.
750+ 3D Printable Designs: Designs - Thingiverse .
These hands-on tools provide an engaging way to explore the interplay between geometry, topology, and design.
License Statement
Unless otherwise noted, all content on this website is licensed under a Creative Commons Attribution 4.0 International License. This means you are free to: - Share: Copy and redistribute the material in any medium or format. - Adapt: Remix, transform, and build upon the material for any purpose, including commercially.
Under the following terms: - Attribution: You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
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