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<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><st1:place>=
<st1:PlaceName><span
  style=3D'font-size:16.0pt'>Kathmandu</span></st1:PlaceName><span
 style=3D'font-size:16.0pt'> </span><st1:PlaceType><span style=3D'font-size=
:16.0pt'>University</span></st1:PlaceType></st1:place><span
style=3D'font-size:16.0pt'><o:p></o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><st1:place>=
<st1:PlaceType>School</st1:PlaceType>
 of <st1:PlaceName>Education</st1:PlaceName></st1:place></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>M.Ed (Mathe=
matics)</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Third Semes=
ter: Ethnomathematics.</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span
style=3D'font-size:18.0pt'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><st1:City><=
st1:place><span
  class=3DGramE><span style=3D'font-size:18.0pt'>Temples</span></span></st1=
:place></st1:City><span
class=3DGramE><span style=3D'font-size:18.0pt'> in </span></span><st1:count=
ry-region><st1:place><span
  class=3DGramE><span style=3D'font-size:18.0pt'>Nepal</span></span></st1:p=
lace></st1:country-region><span
class=3DGramE><span style=3D'font-size:18.0pt'>.</span></span><span
style=3D'font-size:18.0pt'><o:p></o:p></span></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><span class=
=3DSpellE>Khara</span>
Nanda <span class=3DSpellE>Neopaney</span> &amp; Nilam Shrestha</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal>The main religion of Nepali is Hindu. They worship Bis=
hnu,
Shiva, Madhau, <st1:place>Krishna</st1:place> as the main god and goddess. =
They
often visit temples to worship god and goddess. Within the vicinity of <st1=
:place>Kathmandu</st1:place>
valley the main temples are Pashupatinath for Hindus; Boudhanath and
Shayumbhunath for the Buddhist. Due to westo-centric influence of culture o=
ur
youngsters have almost forgotten their own custom and traditions which had =
been
transcended from generations for its own beauty for power, significance and
adequacy. Thus, Shimkhada (2006) maintained that: </p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

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</v:group><![endif]--><![if !vml]><img width=3D448 height=3D160
src=3D"templeproject.ku_arquivos/image002.gif" align=3Dleft v:shapes=3D"_x0=
000_s1104 _x0000_s1105 _x0000_s1106 _x0000_s1107 _x0000_s1108 _x0000_s1109 =
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15 _x0000_s1116"><![endif]>&#8220;By
doing away with harmless age-old customs, I personally believe that we are
wiping out our culture, our history and our identity as Nepalese. Cultural
identity is more important than political identity. As we move toward assum=
ing
essential human rights for all, we should preserve those customs that make =
use
who we are&#8230;.We should distinguish between social practices which harm=
 or
deny people basic human rights and religious practices which enrich our
cultural traditions&#8221;.<span style=3D'display:none;mso-hide:all'>hose c=
ustoms
that make use who we are...den</span></p>

<p class=3DMsoNormal>Each temple is associated with the mathematical artifa=
cts
and mentifacts.No temple resembles the same in architecture and thus each
symbolizes the unique feature. </p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><span style=3D'mso-tab-count:3'>&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&=
nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbs=
p;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>Fig:<b
style=3D'mso-bidi-font-weight:normal'><span style=3D'color:#333333'> A tria=
ngle
drawn on a Nepali temple bell</span><o:p></o:p></b></p>

<p class=3DMsoNormal>Nevertheless, we did encounter the bells to enchant the
prayers and to symbolize the presence of the devotee in the temple to worsh=
ip
the god. My teacher in the University classes taught me about the Non-Eucli=
dean
geometry which comprises of hyperbolic geometry and elliptical geometry. He
gave us different characteristics of distinct features of these two types of
geometries but I was failed to contextualize them. The Hyperbolic geometry =
can
be resemblance to the &#8220;temple bell&#8221;. The distinct type of trian=
gle
can be drawn on the plane of the bell. From the above hyperbolic triangle, =
it
is seen that the sum of the angles of a triangle is always less than 180
degrees, which contradicts the notion that the sum of the angles of the
triangle in Euclidean plane is always equal to 180 degrees.</p>

<p class=3DMsoNormal>To distinguish the different types of plane, we would =
like
to draw three different planes which may be helpful to generalize the diffe=
rent
types of geometrical figures.</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

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<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><span
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style=3D'mso-bidi-font-weight:normal'>Fig: Euclidean Plane<span style=3D'ms=
o-tab-count:
2'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>Fig:
Elliptic plane<span style=3D'mso-tab-count:1'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp=
;&nbsp; </span>Fig:
Hyperbolic plane.<o:p></o:p></b></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal>To commemorate happiness, in our Hindu society, the ob=
ject
called &#8220;shanai&#8221; symbolizes its distinct feature. To share happi=
ness
in our culture we have the tradition of blowing shanai or the Pseudo- spher=
e.
Mainly, it is blown during the wedding ceremony. Also, not the least, it wi=
ll
also have its room to give enjoyment during the cultivation of paddy in the
monsoon season. We called this occasion as &#8220;Bethi&#8221;.</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span><!--[if gte vml 1]><v:shape id=3D"_x0000_i1027" type=3D"#_x0000_t75"
 style=3D'width:179.25pt;height:111pt' o:bordertopcolor=3D"this" o:borderle=
ftcolor=3D"this"
 o:borderbottomcolor=3D"this" o:borderrightcolor=3D"this" fillcolor=3D"wind=
ow">
 <v:imagedata src=3D"templeproject.ku_arquivos/image011.jpg" o:title=3D"Pse=
udosphere"
  grayscale=3D"t"/>
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src=3D"templeproject.ku_arquivos/image012.jpg" v:shapes=3D"_x0000_i1027"><!=
[endif]></p>

<p class=3DMsoNormal><b style=3D'mso-bidi-font-weight:normal'><span
style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
</span>Fig: Shanai</b><span
style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;
</span><span
style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;=
&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nb=
sp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;</span><b
style=3D'mso-bidi-font-weight:normal'>Fig: Pseudo-sphere</b>.</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal>However, this pseudo-sphere is too blown in the temple=
s of
Buddhist. I even encountered of blowing the pseudo-sphere during the
&#8220;Jatra&#8221; (festival) in Newari culture among the Hindu society. In
and around the temples of Machindra Nath people blow this pseudo-sphere and
process a religious rally in and around the vicinity of <span class=3DSpell=
E>Newari</span>-community.</p>

<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal>To contextualize the hyperbolic geometry; the shanai a=
nd
pseudo-sphere reveals that two parallel lines meet in a plane asymptoticall=
y.</p>

<p class=3DMsoNormal>To remember my earlier school days in <st1:country-reg=
ion><st1:place>Bhutan</st1:place></st1:country-region>,
Lamas, the religious gurus of Buddhist used to blow this pseudo sphere to m=
ark
the important religious ceremony with orchestra. It gives the religious tone
that harmonizes the peace and tranquility among the humans. Such practices =
have
been transcended from their ancestors and have been used with much systemat=
ic
way. <span class=3DGramE><span style=3D'display:none;mso-hide:all'>y,</span=
></span><span
style=3D'display:none;mso-hide:all'>ematic<span style=3D'mso-spacerun:yes'>=
&nbsp;
</span>im much impoverished transcended from ancestors and have been used w=
ith
much impoverized way</span></p>

</div>

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