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SpeakEasy Math: Part III

Geometry = Shapes

by Bill Lauritzen

Plane Geometry = Flats

Solid Geometry = Shapes

 

plane figure

3

flat

1

3-D figure or spacial figure

4

shape

1

perimeter

4

around or border or fence

2

area

3

skin or fill 

1

volume

2

 fill

1

 

Thus:

length of a line

skin of a flat

fill of a shape

 

Old: The area of a rectangle is length times width. To find the perimeter of a rectangle add the lengths of all the sides. The volume of a cube is length time width times height.
New: The skin of a rectangle is length times width. To fence a rectangle add the lengths of all the sides. The fill of a cube is length times width times height.

 

diameter

4

across

2

radius

3

spoke

1

circle

2

ring, wheel, roll, round, O (say “oh”)

1

sphere

1

ball

1

cylinder

3

can

1

degrees

2

twiks 

1

ellipse

2

oval

2

 

The Chinese use "straight-line" and "half-line" for diameter and radius.
ring = fat-ring


Old: The circumference of any circle divided by the diameter of the circle is the same: 3.14, or pi. A circle has 360 degrees. The volume of a cylinder equals pi times the radius squared times the height.
New: The around of any ring divided by the across of the ring is the same: 3.14, or pi. A ring has 360 twiks. The fill of a can evens pi times the spoke two’d times the height.

 

angle

2

nik

1

measure of an angle

6

turn of a nik

4

triangle

3

3-nik or simplat

2

vertex

2

nik-dot (2D) or nook-dot (3D)

1

2-D

2

flat

1

polygon

3

many-nik or n-nik

3

parallel

3

along

2

 

quadrilateral family = four-nik family

 

quadrilateral

 

5

4-nik

2

square

1

 square or even 4-nik

1 or 4

trapezoid

3

track-4-nik

4

parallelogram

5

all-track-4-nik

3

rhombus

2

same-side-4-nik

4

 

polygons = many-niks  or n-niks or flats

 

pentagon

3

5-nik

2

hexagon

3

6-nik

2

decagon

3

10-nik

2

icosagon

4

20-nik

3

regular

3

even

2

irregular

4

uneven

1

regular pentagon

6

even 5-nik

4

irregular pentagon

7

uneven 5-nik

3

 

etc.

Old: The regular hexagon has 6 equal sides and six equal angles.
New: The even 6-nik has 6 matching sides and 6 matching niks.

 

 

ruler

2

straight-edge

2

protractor

3

nik-ring

2

compass

2

ring-maker

3

chord

1

--

1

secant

2

ring-line

2

secant segment

4

ring-linet

3

exterior secant segment

8

out-ring-linet

4

 

Old: Triangles are the only stable polygon. If one puts string through drinking straws, this is easy to demonstrate. A quadrilateral, hexagon, decagon, icosagon, in fact all other polyhedra, will collapse, while the triangle keeps its shape.
New: Three-niks are the only stable many-niks. If one puts string through drinking straws, this is easy to demonstrate. A 4-nik, 6-nik, 10-nik, 20-nik, in fact all other many-niks, will collapse, while the 3-nik keeps its shape.

 

rectangle

3

right 4-nik

3

rhombus

2

--

2

point

1

dot or point

1

line

1

--

1

plane

1

flat or flat-go (infinite)

3

ray

1

--

1

segment

2

seg or linet

2

coplanar

2

same-flat

2

collinear

4

same-line

2

 

Old: The line crossed the plane at one point.
New: The line crossed the flat at one dot.

 

monomial

4

one-term

2

binomial

4

two-term

2

polynomial

5

many-terms

3

 

Polyhedra = many-nooks or n-nooks

 

polyhedron

4

many-nook or

n-nook

3

face

1

flat

1

edge

1

lip

1

vertex

2

nook

2

3-D

2

shape

1

 

 

tetrahedron

4

4-nook or simplex

2

octahedron

4

6-nook

2

hexahedron

4

8-nook

2

cube

1

even-box or box

1

icosahedron

5

12-nook

2

dodecahedron

5

20-nook

3

 

Nook is used because it is another name for a corner and the number of corners can identify the five elemental polyhedra.

 

Old: A tetrahedron has 4 vertices, 6 edges, and 4 sides.
New: A 4-nook has 4 nooks, 6 lips, and 4 flats.

Old: Sides + vertices – edges = 2

New: Flats + nooks – lips = 2

 

simplest flat figure = simplat = three-nik

simplest spacial shape = simplex = four-nook

 

regular tetrahedron

7

even 4-nook

4

irregular tetrahedron