Icosahedral VAWT Geometry Series · 2026

GeoWind Research Papers

The mathematical and aerodynamic foundations of the GeoWind vertical-axis wind turbine — one geometry, published, cited, and open.

YoungJune Jeon · Founder, GeoWind Inc. | 0009-0007-0092-1896 | info@geowind.kr | geowind.kr

Three papers form the series. Paper 1 establishes the pure geometry, Paper 2 applies it to turbine blade layout and torque balance, and Paper 3 extends the architecture to hybrid lift–drag rotors. Each is permanently archived with a citable DOI.

PAPER 1 · GEOMETRY arXiv published

A Ten-Face Non-Edge-Sharing Wing Set on the Regular Icosahedron and a Decagonal Equatorial Balance

Field · Metric Geometry (math.GM)  —  Submitted to Discrete & Computational Geometry

arXiv posted
February 7, 2026 (v2: April 15, 2026)
Zenodo published
May 6, 2026
arXiv ID
arXiv:2603.00017
DOI
10.5281/zenodo.20053728
PAPER 2 · APPLICATION arXiv under review

An Icosahedral Wing Geometry Framework for Small Vertical-Axis Wind Turbines: Golden-Ratio-Based Blade Layout and Torque Balance Analysis

Field · Aerodynamics / VAWT Engineering

Status
arXiv moderation in progress (on hold)
Zenodo published
April 18, 2026 (v2)
DOI
10.5281/zenodo.19640089
PAPER 3 · ARCHITECTURE Preprint · validation in progress

Self-Aligned Tetrahedral Blade Architecture for Hybrid Lift–Drag Vertical-Axis Wind Turbines

Field · VAWT / Structural Geometry

Status
Preprint — empirical validation in progress
Zenodo published
May 5, 2026 (v1)
DOI
10.5281/zenodo.20032088