• Corpus ID: 6054165

Thinking like Archimedes with a 3D printer

  title={Thinking like Archimedes with a 3D printer},
  author={Oliver Knill and Elizabeth Slavkovsky},
We illustrate Archimedes' method using models produced with 3D printers. This approach allowed us to create physical proofs of results known to Archimedes and illustrate ideas of a mathematician who is known both for his for his mechanical inventions as well as his breakthroughs in geometry and calculus. We use technology from the 21st century to trace intellectual achievements from the 3rd century BC. While we celebrate the 2300th birthday of Archimedes (287-212 BC) in 2013, we also live in an… 

Illustrating Mathematics using 3D Printers

3D printing technology can help to visualize proofs in mathematics. In this document we aim to illustrate how 3D printing can help to visualize concepts and mathematical proofs. As already known to

Studying, designing and 3d-printing an operational model of the Antikythera Mechanism

3D printing technology is an established industrial practice for rapid prototyping and manufacturing across a range of products, components and commercial sectors and at the same time possesses great

Integrating three dimensional visualization and additive manufacturing into K-12 classrooms

With the increased availability and affordability of three dimensional visualization and additive manufacturing tools, the opportunity to bring these technologies into the classroom has never been

Making Manipulatives for Mathematics Education

This paper describes the efforts of an interdisciplinary team of researchers as they collaborated to create a digital fabrication curriculum module for mathematics teacher education. The initial

O Princípio de Cavalieri: numa abordagem apoiada pelas tecnologias atuais

A melhoria dos processos de ensino e aprendizagem da matematica pode se beneficiar dos avancos tecnologicos.. Uma das diversas possibilidades e a utilizacao de uma dessas tecnologias como a impressao



A Fresh Look at the Method of Archimedes

The volume ratio for the sphere and cylinder can be derived from first principles without using levers and centroids (see [5]), and this simpler and more natural method paves the way for generalizations.

The Works of Archimedes

THIS is a companion volume to Dr. T. L. Heath's valuable edition of the “Treatise on Conic Sections” by Apollonius of Perga, and the same patience, learning and skill which have turned the latter

Rapid Prototyping Technology: Selection and Application

What is rapid prototyping?. Part 1 Concept modellers: the JP system 5 ballistic particle manufacturing the model maker series multi jet modelling 3d printing, Z402 the Genisys modeller. Part 2

The calculus : a genetic approach.

Reissued for the first time since 1981 and updated with a new foreword, this classic text is experiencing a resurgence of interest among students and teachers of calculus today.

A Manual of Greek Mathematics

Rapid Prototyping Technology

The current developments of rapid prototyping at home and abroad,the molding methods of rapid prototyping,their characteristics and the condition of applications are introduced,indicating that

3-D Printing of Open Source Appropriate Technologies for Self-Directed Sustainable Development

This study critically examines how open source 3-D printers enable the use of designs in the public domain to fabricate open source appropriate technology (OSAT), which are easily and economically made from readily available resources by local communities to meet their needs.

Rapid Prototyping

This orientation is improved by a 3D CT-controlled manufactured 1:1 model of the pelvis, which enables an exact classification of defect and deformity, planning of resection planes, design of the suitable custom-made implant and simulation of the operation technique as preoperative quality control.

Two Extensions of Results of Archimedes

The two results in the Method of Archimedes are reviewed, it is shown how they follow from Cavalieri's principle, and two extensions of them can also be proved using Cavalieri’s principle.