On A = mP Heronian Triangles and V = mA cones

David R. Stone; John Hawkins

On A = mP Heronian Triangles and V = mA cones

Emeriti, Retired & In Memoriam (COSM)

Research output: Contribution to conference › Presentation

Abstract

A determining all such triangles with area = m (perimeter). We also consider the analogous problem of finding cones with integer radius and height satisfying volume = m (total surface area). Recent activity and results on both problems have appeared recently in the School Science and Mathematics Problem Section and in the Mathematics Magazine, where our conjecture that the largest A = mP triangle is m2 +2, (4m2 +1)2,(16m4 +12m2) +1 was settled affirmatively.

Original language	American English
State	Published - Mar 28 2008
Event	Southeast Section of the Mathematical Association of America Annual Meeting - Charleston, United States Duration: Mar 28 2008 → Mar 29 2008 Conference number: 87

Conference

Conference	Southeast Section of the Mathematical Association of America Annual Meeting
Abbreviated title	MAASE
Country/Territory	United States
City	Charleston
Period	03/28/08 → 03/29/08

Disciplines

Mathematics

Keywords

Cones
Integer radius

Cite this

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title = "On A = mP Heronian Triangles and V = mA cones",

abstract = "A determining all such triangles with area = m (perimeter). We also consider the analogous problem of finding cones with integer radius and height satisfying volume = m (total surface area). Recent activity and results on both problems have appeared recently in the School Science and Mathematics Problem Section and in the Mathematics Magazine, where our conjecture that the largest A = mP triangle is m2 +2, (4m2 +1)2,(16m4 +12m2) +1 was settled affirmatively.",

keywords = "Cones, Integer radius",

author = "Stone, {David R.} and John Hawkins",

year = "2008",

month = mar,

day = "28",

language = "American English",

note = "Southeast Section of the Mathematical Association of America Annual Meeting, MAASE ; Conference date: 28-03-2008 Through 29-03-2008",

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TY - CONF

T1 - On A = mP Heronian Triangles and V = mA cones

AU - Stone, David R.

AU - Hawkins, John

N1 - Conference code: 87

PY - 2008/3/28

Y1 - 2008/3/28

N2 - A determining all such triangles with area = m (perimeter). We also consider the analogous problem of finding cones with integer radius and height satisfying volume = m (total surface area). Recent activity and results on both problems have appeared recently in the School Science and Mathematics Problem Section and in the Mathematics Magazine, where our conjecture that the largest A = mP triangle is m2 +2, (4m2 +1)2,(16m4 +12m2) +1 was settled affirmatively.

AB - A determining all such triangles with area = m (perimeter). We also consider the analogous problem of finding cones with integer radius and height satisfying volume = m (total surface area). Recent activity and results on both problems have appeared recently in the School Science and Mathematics Problem Section and in the Mathematics Magazine, where our conjecture that the largest A = mP triangle is m2 +2, (4m2 +1)2,(16m4 +12m2) +1 was settled affirmatively.

KW - Cones

KW - Integer radius

M3 - Presentation

T2 - Southeast Section of the Mathematical Association of America Annual Meeting

Y2 - 28 March 2008 through 29 March 2008

ER -

On A = mP Heronian Triangles and V = mA cones

Abstract

Conference

Disciplines

Keywords

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Cite this