﻿ Johnson Solids — Keep Talking and Nobody Explodes Module

## On the Subject of Johnson Solids

If your Johnson solid for mor than four hours you should see a doctor.

On the module is one polyhedron which is a member of the Johnson solids. To defuse the module, you must name it and input its corresponding number into the module.

The polyhedron may be hidden by pressing the J. Pressing the J again will cause the polyhedron to become visible again.

### Finding Its Name

The Johnson solids fall into three main types: Pyramids, cupolae and rotundae, Modified uniform solids, and Elementary solids.

#### Pyramids, cupolae, and rotundae

Solids in this category are one of the eponymous pyramids, cupolae, or rotundae, or a modification of one or more of them.

All sections of a solid's name should be ordered by appearance in this list:

• Elongated: having a ring of squares separating two halves.
• Gyroelongated: having a ring of alternating triangles separating two halves.
• Triangular: using a triangle.
• Square: using a square.
• Pentagonal: using a pentagon.
• Gyro-: having one half gyrated (twisted), indicated by their main polygon.
• Ortho-: not having one half gyrated (twisted).
• Ortho- is only used when a cupola or rotunda is opposite another.
• Bi-: having two instances of.
• Pyramid: having a polygon surrounded by triangles which converge to a single point.
• Cupola: having a polygon surrounded by alternating squares and triangles.
• The digonal cupola, also known as a triangular prism, is referred to as a fastigium.
• Rotunda: having a polygon surrounded by triangles and pentagons.
• If both a cupola and a rotunda appear in the solid, both names are used.

#### Modified uniform solids

Solids in this category are created by augmenting, diminishing, and/or gyrating an existing uniform solid.

Sections of a solid's name should be ordered by appearance in this list:

• Para-: happening on opposite sides of the solid.
• Meta-: not happening on opposite sides of the solid.
• Bi-: happening twice.
• Tri-: happening three times.
• Augmented: having a pyramid or cupola attached to one side.
• Augmented is the inverse of Diminished, but both can be applied.
• Gyrate: having a section gyrated (twisted).
• Diminished: having a section removed and replaced with a polygon.
• The prefixes Bi- and Tri- can appear after Augmented or Gyrate when directly applied to Diminished.

The uniform solid is one of the following unfolded polyhedra:

Triangular Prism Pentagonal Prism Hexagonal Prism

Dodecahedron Icosahedron Rhombicosidodecahedron
Truncated Tetrahedron Truncated Cube Truncated Dodecahedron

#### Elementary solids

Solids in this category cannot be constructed in the ways outlined above.

Sections of a solid's name should be ordered by appearance in this list:

• Augmented: having a pyramid attached to one side.
• Triangular: Exact meaning unclear: use if the solid has a hexagon.
• Bi-: having two instances of.
• Luna-: a square with triangles on opposite sides.
• If there are three instances, use Hebespheno- instead.
• Otherwise, if there are two neighboring instances, use Spheno- to refer to the resulting compound.
• Use Di- instead of Bi- to prefix Spheno-.
• Cingulum: related to Gyroelongated; having a ring of alternating triangles.
• Corona: having a "crown" of 8 triangles.
• Megacorona: having a "crown" of 12 triangles.
• Corona and Megacorona do not count triangles that are part of a Luna.
• Rotunda: referring to a section of a pentagonal rotunda, notably a vertex surrounded by two triangles and two pentagons alternating.

Two solids do not fit with the rest. They have been unfolded below.

Snub Disphenoid Snub Square Antiprism

### Finding Its Number

Each Johnson solid was assigned a number by Norman Johnson himself.

To solve the module, set the display to the number to the left of the solid's name and press the button labelled SUBMIT. An incorrect input will cause a strike.

 01 Square Pyramid 47 Gyroelongated Pentagonal Cupolarotunda 02 Pentagonal Pyramid 48 Gyroelongated Pentagonal Birotunda 03 Triangular Cupola 49 Augmented Triangular Prism 04 Square Cupola 50 Biaugmented Triangular Prism 05 Pentagonal Cupola 51 Triaugmented Triangular Prism 06 Pentagonal Rotunda 52 Augmented Pentagonal Prism 07 Elongated Triangular Pyramid 53 Biaugmented Pentagonal Prism 08 Elongated Square Pyramid 54 Augmented Hexagonal Prism 09 Elongated Pentagonal Pyramid 55 Parabiaugmented Hexagonal Prism 10 Gyroelongated Square Pyramid 56 Metabiaugmented Hexagonal Prism 11 Gyroelongated Pentagonal Pyramid 57 Triaugmented Hexagonal Prism 12 Triangular Bipyramid 58 Augmented Dodecahedron 13 Pentagonal Bipyramid 59 Parabiaugmented Dodecahedron 14 Elongated Triangular Bipyramid 60 Metabiaugmented Dodecahedron 15 Elongated Square Bipyramid 61 Triaugmented Dodecahedron 16 Elongated Pentagonal Bipyramid 62 Metabidiminished Icosahedron
 17 Gyroelongated Square Bipyramid 63 Tridiminished Icosahedron 18 Elongated Triangular Cupola 64 Augmented Tridiminished Icosahedron 19 Elongated Square Cupola 65 Augmented Truncated Tetrahedron 20 Elongated Square Cupola 66 Augmented Truncated Cube 21 Elongated Pentagonal Cupola 67 Biaugmented Truncated Cube 22 Elongated Pentagonal Rotunda 68 Augmented Truncated Dodecahedron 23 Gyroelongated Triangular Cupola 69 Parabiaugmented Truncated Dodecahedron 24 Gyroelongated Square Cupola 70 Metabiaugmented Truncated Dodecahedron 25 Gyroelongated Pentagonal Cupola 71 Triaugmented Truncated Dodecahedron 26 Gyroelongated Pentagonal Rotunda 72 Gyrate Rhombicosidodecahedron 27 Gyrobifastigium 73 Parabigyrate Rhombicosidodecahedron 28 Triangular Orthobicupola 74 Metabigyrate Rhombicosidodecahedron 29 Square Orthobicupola 75 Trigyrate Rhombicosidodecahedron 30 Square Gyrobicupola 76 Diminished Rhombicosidodecahedron 31 Pentagonal Orthobicupola 77 Paragyrate Diminished Rhombicosidodecahedron 32 Pentagonal Gyrobicupola 78 Metagyrate Diminished Rhombicosidodecahedron
 33 Pentagonal Gyrocupolarotunda 79 Bigyrate Diminished Rhombicosidodecahedron 34 Pentagonal Orthobirotunda 80 Parabidiminished Rhombicosidodecahedron 35 Elongated Triangular Orthobicupola 81 Metabidiminished Rhombicosidodecahedron 36 Elongated Triangular Gyrobicupola 82 Gyrate Bidiminished Rhombicosidodecahedron 37 Elongated Square Gyrobicupola 83 Tridiminished Rhombicosidodecahedron 38 Elongated Pentagonal Orthobicupola 84 Snub Disphenoid 39 Elongated Pentagonal Gyrobicupola 85 Snub Square Antiprism 40 Elongated Pentagonal Orthocuploarotunda 86 Sphenocorona 41 Elongated Pentagonal Gyroc 87 Augmented Sphenocorona 42 Elongated Pentagonal Orthobirotunda 88 Sphenomegacorona 43 Elongated Pentagonal Gyrobirotunda 89 Hebesphenomegacorona 44 Gyroelongated Triangular Bicupola 90 Disphenocingulum 45 Gyroelongated Square Bicupola 91 Bilunabirotunda 46 Gyroelongated Pentagonal Bicupola 92 Triangular Hebesphenorutuunda