Polygon: Difference between revisions

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Revision as of 19:49, 10 December 2005

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=== Naming polygons ===

To construct the name of a polygon with more than 20 and less than 100 sides, combine the prefixes as follows

{| class="wikitable" style="vertical-align:center;"

|- style="text-align:center;"

! colspan="2" rowspan="2" | Tens

! ''and''

! colspan="2" | Ones

! final prefix

|-

! rowspan="9" | -kai-

| 1

| -hena-

! rowspan=9 | -gon

|-

| 20 || icosi- || 2 || -di-

|-

| 30 || triaconta- || 3 || -tri-

|-

| 40 || tetraconta- || 4 || -tetra-

|-

| 50 || pentaconta- || 5 || -penta-

|-

| 60 || hexaconta- || 6 || -hexa-

|-

| 70 || heptaconta- || 7 || -hepta-

|-

| 80 || octaconta- || 8 || -octa-

|-

| 90 || enneaconta- || 9 || -ennea-

|-

|}

That is, a 42-sided figure would be named as follows:

{| class="wikitable"

|-

! Tens

! ''and''

! Ones

! final prefix

! full polygon name

|-

| tetraconta-

| -kai-

| -di-

| -gon

| tetracontakaidigon

|-

|}

and a 50-sided figure

{| class="wikitable"

|-

! Tens

! ''and''

! Ones

! final prefix

! full polygon name

|-

| pentaconta-

| colspan="2"|  

| -gon

| pentacontagon

|-

|}

But beyond nonagons and decagons, professional mathematicians prefer the aforementioned numeral notation (for example, [[MathWorld]] has articles on 17-gons and 257-gons).

== Taxonomic classification ==