Documentation
Image credits
& exhibition records
The artworks shown in this portfolio are by Bernat Espigulé. Historical photographs and the animation still are reproduced from his published entries in the Mathematical Art Galleries. The records below document the exhibited works, materials and dates. The current table photograph was supplied by the artist.
2013 works · Joint Mathematics Meetings, 2014
The Sierpinski SuperFractal and The Ternary Self-Contacting Golden Trees. Exhibition photographs from the artist's 2014 entry. The SuperFractal image shows different material versions; it should not be read as four separately titled works.
View the original exhibition record ↗ICERM · Illustrating Mathematics, 2019
Arboretum of 3D-Printed Complex Trees, ABS sculptures; Tour into a one-parameter space of connected self-similar sets, digital animation; and The Beauty of Roots, photographic print, 40 × 56 cm. These are separate exhibited works, brought together here to explain the relationship between physical specimens, moving families and mathematical cartography.
View the original exhibition record ↗Watch the original animation ↗
2021 work · Bridges, 2022
The Starry Pentagasket, laser-cut plywood, 5 × 5 cm. Exhibition photograph from the artist's Bridges 2022 entry. The smaller source image has not been artificially upscaled.
View the original exhibition record ↗Complex-Tree Table, 2026
Artist-provided workshop photograph of a scale prototype. The composition is preserved, including the workshop and display materials. Their presence does not imply a commission, endorsement or established collaboration. No load rating or production specification is asserted.
Image preparation and rights
Images are hosted with this portfolio rather than loaded from temporary download links. Preparation is limited to orientation correction, proportionate resizing, removal of embedded metadata and WebP encoding. No generative alteration has been applied.
Exhibition sources are credited above. Where a separate photographer is not identified in the source record, no photographer attribution has been invented. Rights in artworks, photographs and video remain with their respective rights holders. Publication here does not grant permission for reuse. Please contact bernat@espigule.com for image requests or credit corrections.
Research connection
Benedetti et al., Engineered Kidney Tubules for Modeling Patient-Specific Diseases and Drug Discovery. EBioMedicine 33 (2018), 253–268. The portfolio describes a citation to earlier fractal-tree research, not participation in that study or clinical validation of the sculptures.
Publication record ↗Collinear Fractals Interactive Explorer, 2026
The software preview is an actual browser screenshot of Bernat Espigulé's research explorer, version 0.2.0-alpha, captured in September 2026. It shows the n = 4 example at c = (3 + i√11)/2 in the original-attractor view. The screenshot is hosted locally; no live explorer is embedded in the portfolio.
The repository retains its historical name, Collinear Fractals GPU. Its current browser implementation is Canvas/CPU. Visualisation and finite inverse-search exports support exploration and reproducibility; they are not a formal proof checker. Consult the documentation for the scope of numerical results and implemented features.
Software, documentation and licence information ↗
Site information
This edition was prepared in September 2026. The page uses locally hosted assets and system fonts. It contains no third-party analytics or embedded video players; choosing an external video or other link takes the visitor to that provider's site. Core text, images and navigation remain available without JavaScript.