Simplex

Loading...
Wiki info

In layman's terms, an n-simplex is a simple shape (a polygon) that requires n dimensions. Consider a line segment AB as a "shape" in a 1-dimensional space (the 1-dimensional space is the line in which the segment lies). One can place a new point C somewhere off the line. The new shape, triangle ABC, requires two dimensions; it cannot fit in the original 1-dimensional space. The triangle is the 2-simplex, a simple shape that requires two dimensions. Consider a triangle ABC, a shape in a 2-dimensional space (the plane in which the triangle resides). One can place a new point D somewhere off the plane. The new shape, tetrahedron ABCD, requires three dimensions; it cannot fit in the original 2-dimensional space. The tetrahedron is the 3-simplex, a simple shape that requires three dimensions. Consider tetrahedron ABCD, a shape in a 3-dimensional space (the 3-space in which the tetrahedron lies). One can place a new point E somewhere outside the 3-space. The new shape ABCDE, called a 5-cell, requires four dimensions and is called the 4-simplex; it cannot fit in the original 3-dimensional space. (It also cannot be visualized easily. ) This idea can be generalized, that is, adding a single new point outside the currently occupied space, which requires going to the next higher dimension to hold the new shape. This idea can also be worked backward: the line segment we started with is a simple shape that requires a 1-dimensional space to hold it; the line segment is the 1-simplex. The line segment itself was formed by starting with a single point in 0-dimensional space (this initial point is the 0-simplex) and adding a second point, which required the increase to 1-dimensional space.

A-Z Keywords

Keyword Suggestions

Linked Keywords

Images for Simplex

     
Simplex communication - Wikipedia
Simplex communication - Wikipedia
w
Motion and Flow Control Brands: Who We Work With | MFCP, Inc.
Motion and Flow Control Brands: Who We Work With | MFCP, Inc.
m
Pesquisa Operacional - Simplex - YouTube
Pesquisa Operacional - Simplex - YouTube
y
Simplex Fire Alarm Control Panel: 4100-7158
Simplex Fire Alarm Control Panel: 4100-7158
q
Simplex Homeopathic Stress & Sleeplessness Tablets | Walgreens
Simplex Homeopathic Stress & Sleeplessness Tablets | Walgreens
d
Fire Detection Product Publications
Fire Detection Product Publications
s
Carrier Sense Multiple Access Collision Detect (CSMA/CD ...
Carrier Sense Multiple Access Collision Detect (CSMA/CD ...
b
Simplex | Download logos | GMK Free Logos
Simplex | Download logos | GMK Free Logos
g
Simplex - Blesse
Simplex - Blesse
h
Simplex Cards and Print
Simplex Cards and Print
b
NEW SIMPLEX 4098-9750 SSD IN-DUCT SENSOR HOUSE (INCLUDES ...
NEW SIMPLEX 4098-9750 SSD IN-DUCT SENSOR HOUSE (INCLUDES ...
e
Johnson Controls - Fire Detection - ANZ Region - Home
Johnson Controls - Fire Detection - ANZ Region - Home
t
Simplex 2903-9101 w/ 2901-9833 Fire Alarm Demo/Test - YouTube
Simplex 2903-9101 w/ 2901-9833 Fire Alarm Demo/Test - YouTube
y
Simplex P82A Steel Compact Hand Pump for Single Acting ...
Simplex P82A Steel Compact Hand Pump for Single Acting ...
s
Simplex 4901-9816 Fire Alarm Horn - YouTube
Simplex 4901-9816 Fire Alarm Horn - YouTube
y
share facebook twitter pinterest currently unavailable we ...
share facebook twitter pinterest currently unavailable we ...
i
60FPS Alarm: Simplex 2903-9101 Strobe Plate Demo - YouTube
60FPS Alarm: Simplex 2903-9101 Strobe Plate Demo - YouTube
y
Introducing My Simplex 4007ES Hybrid Fire Alarm Control ...
Introducing My Simplex 4007ES Hybrid Fire Alarm Control ...
y
SIMPLEX 4251-30 3A 30 V FIRE ALARM PULL STATION - NO BREAK ...
SIMPLEX 4251-30 3A 30 V FIRE ALARM PULL STATION - NO BREAK ...
e
Simplex 4906-9151 TrueAlert Fire Alarm - YouTube
Simplex 4906-9151 TrueAlert Fire Alarm - YouTube
y
SIMPLEX 4903-9418 22-29V FIRE ALARM HORN WITH STROBE ...
SIMPLEX 4903-9418 22-29V FIRE ALARM HORN WITH STROBE ...
e
Simplex 2903's with Faraday horns - YouTube
Simplex 2903's with Faraday horns - YouTube
y
Simplex tab.c/60
Simplex tab.c/60
c
S.E.R. Shorts: Showing/Testing A Simplex 4093-9219 Horn ...
S.E.R. Shorts: Showing/Testing A Simplex 4093-9219 Horn ...
y
The Schumin Web » Simplex 2099-9756
The Schumin Web » Simplex 2099-9756
s
The Schumin Web » Simplex 2099-9756
The Schumin Web » Simplex 2099-9756
s
Simplex 4903-9101 w/ 2902-9732 (LifeAlarm Speaker) Fire ...
Simplex 4903-9101 w/ 2902-9732 (LifeAlarm Speaker) Fire ...
y
SIMPLEX 4004R 4004-9302 Suppression Release Panel With key ...
SIMPLEX 4004R 4004-9302 Suppression Release Panel With key ...
e
SIMPLEX FIRE ALARM 2099-9795 RED MANUAL LEVER PULL STATION ...
SIMPLEX FIRE ALARM 2099-9795 RED MANUAL LEVER PULL STATION ...
e
Tech-Experts: Simplex, Half Duplex,Full Duplex
Tech-Experts: Simplex, Half Duplex,Full Duplex
b
SIMPLEX 4903-9350 15CD FIRE ALARM SPEAKER STROBE | eBay
SIMPLEX 4903-9350 15CD FIRE ALARM SPEAKER STROBE | eBay
e
Simplex 4906-9151 TrueAlert - YouTube
Simplex 4906-9151 TrueAlert - YouTube
y
SimplexGrinnell
SimplexGrinnell
r
Simplex 4208 trouble piezo - YouTube
Simplex 4208 trouble piezo - YouTube
y
Modos Simplex, Half-Duplex y Full-Duplex ~ Buscamos ser ...
Modos Simplex, Half-Duplex y Full-Duplex ~ Buscamos ser ...
b
Simplex Code-3 Chime - YouTube
Simplex Code-3 Chime - YouTube
y
Simplex 4903-9219 Fire Alarm Horn/Strobe - YouTube
Simplex 4903-9219 Fire Alarm Horn/Strobe - YouTube
y
Fire Alarm Systems Miami, Miami-Dade County, Fire Alarm ...
Fire Alarm Systems Miami, Miami-Dade County, Fire Alarm ...
a
Simplex 4906-9153 Speaker Strobe Test (Few Tones) - YouTube
Simplex 4906-9153 Speaker Strobe Test (Few Tones) - YouTube
y
Simplex (Nederland) - Wikipedia
Simplex (Nederland) - Wikipedia
w
SimplexGrinnell's 4007ES Fire Alarm Panel ...
SimplexGrinnell's 4007ES Fire Alarm Panel ...
s
Manual fire alarm activation - Wikipedia
Manual fire alarm activation - Wikipedia
w
Simplex Truealert Code 3 - YouTube
Simplex Truealert Code 3 - YouTube
y
Simplex 4090-9121 FIRE ALARM IAM SECURITY MONITOR | eBay
Simplex 4090-9121 FIRE ALARM IAM SECURITY MONITOR | eBay
e
Simplex Fire Alarm 4903 9168 2 - YouTube
Simplex Fire Alarm 4903 9168 2 - YouTube
y
Algoritmo símplex - Wikipedia, la enciclopedia libre
Algoritmo símplex - Wikipedia, la enciclopedia libre
w
Simplex 4603-9101 Annunciator Test - YouTube
Simplex 4603-9101 Annunciator Test - YouTube
y
Simplex - Wikipedia
Simplex - Wikipedia
w
The World's Best Photos of simplexgrinnell - Flickr Hive Mind
The World's Best Photos of simplexgrinnell - Flickr Hive Mind
f
Farmacias del Ahorro | Simplex oral 60 tabletas 2600 ...
Farmacias del Ahorro | Simplex oral 60 tabletas 2600 ...
f

Keyword examples: · Early Georgian Furniture · Luxurious Living Room With Tv ·