Shape with finite volume and infinite surface area?
singleAnswer singleAnswer
Gabriel's horn Torricelli's trumpet
Gabriel's horn Torricelli's trumpet Gabriel's Horn
Koch snowflake Gabriel's Horn
Shape with finite volume and infinite surface area? finite volume and infinite surface area
Gabriel's Horn Koch snowflake Wikipedia:Reference desk/Archives/Mathematics/2008 December 2 ... Wikipedia:Reference desk/Archives/Mathematics/2010 July 23 ... Coastline paradox Portal:Mathematics/Did you know/17 Talk:Gabriel's Horn Menger sponge Portal:Mathematics/Did you know archive Shape of the universe
Gabriel&#39;s horn (also called Torricelli&#39;s trumpet) is a geometric <b>figure</b> which has 
<b>infinite surface area</b> but <b>finite volume</b>. The name refers to the Abrahamic tradition
&nbsp;... The Koch snowflake is a mathematical curve and one of the earliest fractals to 
have been ... Consequently, the snowflake encloses a <b>finite area</b>, but has an 
<b>infinite</b> ... A Koch curve–based representation of a nominally flat <b>surface</b> can 
similarly be ... The <b>shape</b> can be considered a three-dimensional extension of the 
curve in&nbsp;... A <b>finite volume</b> of an idealized paint can indeed have <b>infinite surface area</b>. ... OP 
is asking how a <b>shape with finite volume</b> can have infinite cross-sectional area. Gabriel&#39;s Horn is a <b>figure</b> with an <b>infinite surface area</b> and a <b>finite volume</b>. Is there 
any <b>figure</b> with the opposite: an infinite volume, but a finite surface area? The coastline paradox is the counterintuitive observation that the coastline of a 
landmass does ... Coastline problem &middot; Fractal dimension &middot; Gabriel&#39;s Horn, a 
geometric <b>figure</b> with <b>infinite surface area</b> but <b>finite volume</b>; How Long Is the 
Coast of&nbsp;... Jump to navigation Jump to search ...that it is possible for a three-dimensional 
<b>figure</b> to have a <b>finite volume</b> but <b>infinite surface area</b>, such as Gabriel&#39;s Horn? A <b>finite volume</b> of paint could have an <b>infinite surface area</b>, if a piece of metal ... of 
its particular <b>shape</b>, the surface area increases without limit, while the volume&nbsp;... In mathematics, the Menger sponge is a fractal curve. It is a three-dimensional 
generalization of ... The Menger sponge itself is the limit of this process after an 
<b>infinite</b> number of iterations. An illustration of ... Therefore the construction&#39;s 
<b>volume</b> approaches zero while its <b>surface area</b> increases without bound. Yet any 
chosen&nbsp;... More precisely, not all infinite cardinal numbers are equal? ... ...that it is possible 
for a three-dimensional <b>figure</b> to have a <b>finite volume</b> but <b>infinite surface area</b>,&nbsp;... The <b>shape</b> of the universe is the local and global geometry of the universe. The 
local features of ... <b>Finite</b> or <b>infinite</b>; Flat (no curvature), open (negative curvature), 
or closed (positive curvature); Connectivity, how the universe is put ... An 
example of a negatively curved <b>surface</b> would be the <b>shape</b> of a saddle or 
mountain pass.
Gabriel's Horn Koch snowflake Wikipedia:Reference desk/Archives/Mathematics/2008 December 2 ... Talk:Gabriel's Horn Menger sponge Coastline paradox Portal:Mathematics/Did you know/17 Wikipedia:Reference desk/Archives/Mathematics/2010 July 23 ... Finite volume method Portal:Mathematics/Did you know archive
Gabriel&#39;s horn (also called Torricelli&#39;s trumpet) is a geometric figure which has 
<b>infinite surface area</b> but <b>finite volume</b>. The name refers to the Abrahamic tradition
&nbsp;... The Koch snowflake is a mathematical curve and one of the earliest fractals to 
have been ... Consequently, the snowflake encloses a finite area, but has an 
infinite ... A Koch curve–based representation of a nominally flat surface can 
similarly be ... dimension &middot; Gabriel&#39;s Horn (<b>infinite surface area</b> but encloses a 
<b>finite volume</b>)&nbsp;... Any region of <b>finite volume</b> must have the property that the set of cross sections 
with <b>infinite area</b> has measure zero. This is easier to visualize in the <b>plane</b>;&nbsp;... A <b>finite volume</b> of paint could have an <b>infinite surface area</b>, if a piece of metal can 
also have those two quantities... Either I am missing something, or the original&nbsp;... In mathematics, the Menger sponge is a fractal curve. It is a three-dimensional 
generalization of ... The Menger sponge itself is the limit of this process after an 
<b>infinite</b> number of iterations. An illustration of ... Therefore the construction&#39;s 
<b>volume</b> approaches zero while its <b>surface area</b> increases without bound. Yet any 
chosen&nbsp;... The coastline paradox is the counterintuitive observation that the coastline of a 
landmass does ... Coastline problem &middot; Fractal dimension &middot; Gabriel&#39;s Horn, a 
geometric figure with <b>infinite surface area</b> but <b>finite volume</b>; How Long Is the 
Coast of&nbsp;... Jump to navigation Jump to search ...that it is possible for a three-dimensional 
figure to have a <b>finite volume</b> but <b>infinite surface area</b>, such as Gabriel&#39;s Horn? Gabriel&#39;s Horn is a figure with an <b>infinite surface area</b> and a <b>finite volume</b>. Is there 
any figure with the opposite: an infinite volume, but a finite surface area? The <b>finite volume</b> method (FVM) is a method for representing and evaluating 
partial differential equations in the form of algebraic equations [LeVeque, 2002; 
Toro, 1999]. In the <b>finite volume</b> method, volume integrals in a partial differential 
equation that contain a divergence term are converted to <b>surface</b> integrals, ... If 
we assume that equation (1) represents a flowing medium of constant <b>area</b>,&nbsp;... More precisely, not all infinite cardinal numbers are equal? ... ...that it is possible 
for a three-dimensional figure to have a <b>finite volume</b> but <b>infinite surface area</b>,&nbsp;...
Gabriel 's horn
Gabriel's Horn