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SpeakEasy Math: Part III
by Bill Lauritzen
Solid Geometry = Shapes
plane figure

3

flat

1

3D 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 "straightline" and
"halfline" for diameter and radius.
ring = fatring
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

3nik or simplat

2

vertex

2

nikdot (2D) or nookdot (3D)

1

2D

2

flat

1

polygon

3

manynik or nnik

3

parallel

3

along

2

quadrilateral family
= fournik family
quadrilateral

5

4nik

2

square

1

square
or even 4nik

1
or 4

trapezoid

3

track4nik

4

parallelogram

5

alltrack4nik

3

rhombus

2

sameside4nik

4

polygons = manyniks or nniks or flats
pentagon

3

5nik

2

hexagon

3

6nik

2

decagon

3

10nik

2

icosagon

4

20nik

3

regular

3

even

2

irregular

4

uneven

1

regular pentagon

6

even 5nik

4

irregular pentagon

7

uneven 5nik

3

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

2

straightedge

2

protractor

3

nikring

2

compass

2

ringmaker

3

chord

1



1

secant

2

ringline

2

secant segment

4

ringlinet

3

exterior secant segment

8

outringlinet

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: Threeniks are the only stable manyniks. If
one puts string through drinking straws, this is easy to demonstrate. A 4nik,
6nik, 10nik, 20nik, in fact all other manyniks, will collapse, while the
3nik keeps its shape.
rectangle

3

right 4nik

3

rhombus

2



2

point

1

dot or point

1

line

1



1

plane

1

flat or flatgo (infinite)

3

ray

1



1

segment

2

seg or linet

2

coplanar

2

sameflat

2

collinear

4

sameline

2

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

4

oneterm

2

binomial

4

twoterm

2

polynomial

5

manyterms

3

polyhedron

4

manynook or
nnook

3

face

1

flat

1

edge

1

lip

1

vertex

2

nook

2

3D

2

shape

1

tetrahedron

4

4nook or simplex

2

octahedron

4

6nook

2

hexahedron

4

8nook

2

cube

1

evenbox or box

1

icosahedron

5

12nook

2

dodecahedron

5

20nook

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 4nook has 4 nooks, 6 lips, and 4 flats.
Old: Sides + vertices – edges = 2
New: Flats + nooks – lips = 2
simplest flat figure = simplat =
threenik
simplest spacial shape = simplex =
fournook
regular tetrahedron

7

even 4nook

4

irregular tetrahedron

8

uneven 4nook

3

regular octahedron

7

even 6nook

5

irregular octahedron

8

uneven 6nook

3

regular hexahedron or cube

7

evenbox or even 8nook

4

helix

2

coil

1

conical helix

5

conecoil

2

spiral

2



2

conical sections

5

cone slices

3

hyperbola

4

farthrow

2

parabola

4

throw

2

dihedral angle

5

twoflat nik

3

prism = twobasematchtrack
[The two bases of the shape match and track.]
Some Archimedean polyhedra:
cubeoctahedron

5

cubic6nook

4

truncated tetrahedron

7

cutoff4nook

4

pentagonal prism

6

5nik
prism

4

Old: There are only five
regular polyhedra. Because they are made of triangles, tetrahedrons,
octahedrons, and icosahedron are stable. Hexahedrons and dodecahedrons are not.
New: There are only 5 even manynooks. Because
they are made of 3niks, 4nooks, 6nooks, and 20nooks are stable. 8nooks and
12nooks are not.
scalene triangle

5

nomatch 3nik

4

isosceles triangle

7

twomatch threenik

4

equilateral triangle

8

even threenik

4

Old: The measures of the
angles of a triangle always add up to 180 degrees. In an equilateral triangle,
all the sides and angles are equal.
New: The measure of the niks of a 3nik always
adds up to 180 twiks. In an even 3nik, all the sides and niks match.
right angle

3

right nik or fourthnik

2

right triangle

4

right 3nik

3

hypotenuse

4

long or shlong

1

legs

1



1

opposite side

4

far side

2

adjacent side

4

by side

2

Old: A right triangle has
two legs and a hypotenuse.
New: A right 3nik has two legs and a shlong.
congruent

3

matching

2

similar

3

zoom or zoomy

1

["Similar triangles" can be called "zoom triangles" or "zoomies" because of the widespread use of the zoom lens, which was unknown to the ancients. Of course, one may have to flip and/or spin the triangle to see the "zoomability." Zoom here does refer to an actual increase in size not an illusory increase in size as in a lens.]
similar triangles

6

zoomy threeniks

4

similar figures

5

zoomies

2

similarity

5

zoomity

3

scale factor

3

zoom factor

3

proportion

3

zoom or toto*

2

* a is to b as c is to d.
proportional

4

zoomable or toto

2

direct

2

straight

1

inverse

2

flip

1

direct proportion

5

straightzoom or boost

1

inverse proportion

5

flipzoom or shrink

2

positive

3

front

1

negative

3

back

1

positive numbers

5

fronts

1

negative numbers

5

backs

1

opposite

3

back

1

reciprocal

4

flip

1

corresponding side

5

likeside

2

Old: The corresponding sides of similar triangles
are directly proportional.
New: The like sides of zoom 3niks are zoomable.
The pull between masses boosts with an increase in mass and shrinks with an increase in distance.
acute angle

4

sharp nik

2

obtuse angle

4

blunt nik or dull nik

2

complementary angles

7

rightfill niks*

3

complement

3

rightfill

2

supplementary angles

7

straightfill niks

3

supplement

3

straightfill

2



3

ringfill niks

3

* The two angles fill a right angle.
90 = rightfill
180 = straightfill
360 = ringfill
Old: An acute angle is less
than 90 degrees. An angle and its complement add up to 90 degrees.
New: A sharp nik is less than 90 twiks. A nik and
its rightfill add to 90 twiks.
perpendicular

5

rightcrossing or right

1

induction

3

makingarule

4

deduction

3

usingarule

4

bisector

3

halfer

2

midpoint

2

halfpoint

2

perpendicular bisector

8

right halfer

3

interior

4

in

1

exterior

4

out

2

corresponding angles

6

kinniks or likeniks

2

adjacent angles

5

byniks

2

interior angle

5

innik

2

exterior angle

6

outnik

2

vertical angles

5

facing niks

3

transversal

3

crosser or cut

1

consecutive interior angles

8

sameside inniks

4

consecutive exterior angles

8

sameside outniks

4

alternate interior angles

9

otherside inniks

4

alternate exterior angles

9

otherside outniks

4

tangent line

3

touching line or touch

1

cone

1



1

arc

1



1

subtends

2

makes or forms

1

convex

2

out

1

convex polygon

5

outmanynik

4

concentric
circles

5

samecenter
rings

4

lateral

3

side

1

lateral
area

6

side
fill or side skin

2

inscribe

2

indraw
or infit

2

circumscribe

3

arounddraw
or outfit

2

Old: If two parallel lines
are crossed by a transversal, then each pair of alternate interior angles are
congruent.
New: If two along lines are crossed, then each
pair of otherside inniks match.
Old: If two parallel lines are crossed by a
transversal, then each pair of consecutive interior angles are supplementary.
New: If two along lines are crossed, then each
pair of sameside inniks straightfill.
Old: If two parallel lines are crossed by a
transversal, then each pair of alternate exterior angles are congruent.
New: If two along lines are crossed, then each
pair of otherside outniks match.
constant

2

still

1

intersection

4

cross* or cut 
1

union

2



2

axis of symmetry

6

line of turnsame

4

Venn diagram

4

overlap*

3

cumulative amount

6

sofarsum

3

dimensions

3

measures (of a blueprint)

2

consecutive

4

nextto

2

conjunction

3

andsay

2

disjunction

3

orsay

2

symmetry

3

turnsame

2

transformations

4

changes

2

rotation

3

spin

1

translation

3

slide

1

shear

1



1

stretch

1



1

reflection

3

mirror

1

center of rotation

6

spin point

2

proof

1

showing

2

prove

1

show

1

conjecture

3

guess

1

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