Hands-on Original Forms
The Mathematics of Polyhedra You Can Learn by Touch

Developing New Tactile Tools for People with Visual Impairments and the Elderly
Tsukuba University of Technology — Tactile Art and Therapy Project
FY2023–2027 Grant-in-Aid for Scientific Research (A), Project No. 23H00064
"Research and Development of a Spatial Perception Enhancement Program Using a Unit-based Modeling System for People with Visual Impairments"

Overview

In the education and concept formation of people with visual impairments, the use of alternative senses such as touch and hearing, together with the notion of dimension of information, plays a critical role. Braille expresses one-dimensional written information through a two-dimensional pattern of six dots, and tactile diagrams provide two-dimensional graphic representations of objects and concepts. However, three-dimensional tactile observation tools are currently limited mainly to educational replicas and museum exhibits.

The sculptor Mitsunobu Matsuo has proposed "INFORMART" — a system of original polyhedral blocks based on geometric construction principles such as the silver ratio — and has developed support tools including tactile-form notation (shokei-fu) for haptic understanding.

Building on Braille (1D) and tactile diagrams (2D), this project aims to develop "tactile forms" (shokkei) as 3D representations, creating socially-implementable tools that contribute to art and geometry education for people with visual impairments as well as to the fields of healthcare and rehabilitation.

Articles & Reports

Main Units of the "Tactile Form Program"

Ellipse Unit
A unit formed by cutting a 45-degree elliptical cylinder at a 45-degree angle, with cross-sections combining circles and ellipses. Just two to four identical parts can produce an enormous variety of forms.
Figures Unit
A unit designed to express the bearing and silhouettes of human figures.
Heart Cube
A three-part unit created by carving a cube with three elliptical cylinders. Different combinations of the parts reveal heart shapes.
Diagonal Cube (1/4)
A unit obtained by dividing a cube into four equal congruent parts, connecting a quarter square section of the top face with a congruent face on the bottom through diagonal cuts.

Major Conference Presentations

Related Patents

Proponent of INFORMART and Tactile Art — Mitsunobu Matsuo

Environmental sculptor. Professor at the School of City Design, Central Academy of Fine Arts, China / Visiting Professor at the Academy of Arts and Design, Tsinghua University. President of the Japan NPO Welfare Art and Culture Research Society. Advisor to the China Sculpture Society. Joint Researcher at Tsukuba University of Technology. Founder of the Matsuo Sokei Foundation, the Netherlands. Born in Kumamoto in 1943; graduated from the Faculty of Fine Arts, Tokyo University of the Arts in 1970.

www.matsuo-formart.com

Project Members

Principal Investigator

  • KANAHORI Toshihiro — Associate Professor, Tsukuba University of Technology (Visual Impairment Engineering)

Co-Investigators

  • TANAKA Hitoshi — Associate Professor, Tsukuba University of Technology (Mathematics)
  • SHIMA Toshiki — Lecturer, Tsukuba University of Technology (Education for the Visually Impaired)
  • MORIYA Seitaro — Associate Professor, Tsukuba University of Technology (Art Education)
  • HIROSE Kojiro — Professor, National Museum of Ethnology

Research Collaborators

  • MATSUO Mitsunobu — Joint Researcher, Tsukuba University of Technology
  • OTAKE Nobuyuki — Joint Researcher, Tsukuba University of Technology
  • KATO Hiroshi — Joint Researcher, Tsukuba University of Technology
  • YOSHIDA Tsuguo — Joint Researcher, Tsukuba University of Technology
  • KUBOTA Tomohiro — Associate Professor, R Professional University of Rehabilitation
  • TESHIMA Yoshinori — Professor, Chiba Institute of Technology