Making Mathematics Visible: Taylor University

Steve Phelps, Jan 7, 2019

https://tinyurl.com/tayorujan07

Table of Contents

  1. Motivation
    1. The Vortex
    2. A New Way to Knit
    3. Emmanuel Maths Curve Stitching
    4. The Haze
    5. Rings and Strings
    6. A Look into Heaven
    7. The Art of Problem Posing
  2. Simple curve stitching
    1. The Simplest Curve Stitch
    2. Curve Stitching and Transformations 1
    3. Curve Stitching and Transformations 2
    4. Curve Stitching and Transformations 3
    5. Curve Stitching and Transformations 4
    6. Curve Stitching and Transformations 5
  3. Modular addition curve stitching
    1. Curve Stitching mod 13
    2. Curve Stitching mod 17
    3. Modular Addition for Selected Mods
    4. Modular Addition in 3D
  4. Modular multiplication curve stitching
    1. Curve Stitching mod 13
    2. Curve Stitching mod 17
    3. Curve Stitching mod 24
  5. Modular multiplication: The doubling map
    1. The Doubling Map for Selected Mods
    2. Rolling Circle
    3. Reflecting Light Rays
    4. Complex Numbers Squaring Map
  6. Modular multiplication: The tripling map
    1. The Tripling Map for Selected Mods
    2. Rolling Circle Tripling Map
    3. Reflecting Light Rays Tripling Map
    4. Complex Number Tripling Map
  7. What-If-Not Modular Curve Stitching
    1. Different Maps for Selected Mods
    2. Continuous Multiples for Selected Mods
    3. Different Multiples, Selected Mods, with Inversion
    4. Different Functions for mod 360

1.

Motivation

  • 1. The Vortex
  • 2. A New Way to Knit
  • 3. Emmanuel Maths Curve Stitching
  • 4. The Haze
  • 5. Rings and Strings
  • 6. A Look into Heaven
  • 7. The Art of Problem Posing

1.1.

The Vortex

– Steve Phelps

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

1.7.

–

2.

Simple curve stitching

  • 1. The Simplest Curve Stitch
  • 2. Curve Stitching and Transformations 1
  • 3. Curve Stitching and Transformations 2
  • 4. Curve Stitching and Transformations 3
  • 5. Curve Stitching and Transformations 4
  • 6. Curve Stitching and Transformations 5

2.1.

The Simplest Curve Stitch

– Steve Phelps

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

3.

Modular addition curve stitching

  • 1. Curve Stitching mod 13
  • 2. Curve Stitching mod 17
  • 3. Modular Addition for Selected Mods
  • 4. Modular Addition in 3D

3.1.

Curve Stitching mod 13

– Steve Phelps

3.2.

–

3.3.

–

3.4.

–

4.

Modular multiplication curve stitching

  • 1. Curve Stitching mod 13
  • 2. Curve Stitching mod 17
  • 3. Curve Stitching mod 24

4.1.

– Steve Phelps

4.2.

–

4.3.

–

5.

Modular multiplication: The doubling map

  • 1. The Doubling Map for Selected Mods
  • 2. Rolling Circle
  • 3. Reflecting Light Rays
  • 4. Complex Numbers Squaring Map

5.1.

The Doubling Map for Selected Mods

– Steve Phelps

5.2.

–

5.3.

–

5.4.

–

6.

Modular multiplication: The tripling map

  • 1. The Tripling Map for Selected Mods
  • 2. Rolling Circle Tripling Map
  • 3. Reflecting Light Rays Tripling Map
  • 4. Complex Number Tripling Map

6.1.

The Tripling Map for Selected Mods

– Steve Phelps

6.2.

–

6.3.

–

6.4.

–

7.

What-If-Not Modular Curve Stitching

  • 1. Different Maps for Selected Mods
  • 2. Continuous Multiples for Selected Mods
  • 3. Different Multiples, Selected Mods, with Inversion
  • 4. Different Functions for mod 360

7.1.

Different Maps for Selected Mods

– Steve Phelps

7.2.

–

7.3.

–

7.4.

–

Information