SUMMARIZING TABLES

REGULAR SIMPLEX (R333: 5-CELL)
R333
 R333
 SUM
 Faces
 Cells
 
 cntC
 v: 5
e: 10
f: 10
c: 5
 f3:10
 Tetra: 5
cntE
 cntF
 v: 10
e: 30
f: 30
c: 10
 f3: 30
 Tetra: 5
Octa: 5
sclE: 1/3
cntF
sclC: 1/3
 v: 20
e: 40
f: 30
c: 10
 f3: 20
f6:10
 Tetra: 5
Cube: 5
sclF: 1/4
 cntE
sclC: 1/3
 v: 30
e: 90
f: 80
c: 20
 f3: 50
f4: 30
 Octa: 5
S4343: 5
Prism3: 10
sclC: 1/5
 sclC: 1/5
 v: 20
e: 60
f: 70
c: 30
 f3: 40
f4: 30
 Tetra: 10
Prism3: 20
cntE
sclF: 2/5
 cntE
sclF: 2/5
 v: 30
e: 60
f: 40
c: 10
 f3: 20
f6: 20
 S663: 10
sclE: 1/3
sclF: 2 – sr2
 cntE
sclF: 2/5
sclC: 5/9
 v: 60
e: 120
f: 80
c: 20
 f3: 20
f4: 30
f6: 30
 S664: 5
S663: 5
Prism3: 10
sclE: 1/3
sclC: 3/7
 sclF: 1/4
sclC: 1/2
 v: 60
e: 150
f: 120
c: 30
 f3: 40
f4: 60
f6: 20
 S663: 5
S4343: 5
Prism6: 10
Prism3: 10
sclE: 1/3
sclF: 1/2
sclC: 3/5
 sclE: 1/3
sclF: 1/2
sclC: 3/5		 v: 120
e: 240
f: 150
c: 30
 f4: 90
f6: 60
 S664: 10
Prism6: 20
R343 REGULAR 24-CELL
R343
 R343
 SUM
 Faces
 Cells
 
 cntC
 v: 24
e: 96
f: 96
c: 24
 f3:96
 Octa: 24
cntE
 cntF
 v: 96
e: 288
f: 240
c: 48
 f3: 96
f4: 144
 Cube: 24
S4343: 24
sclE: 1/3
cntF
sclC: 3/5
 v: 192
e: 384
f: 240
c: 48
 f4: 144
f6: 96
 Cube: 24
S664: 24
sclF: (3sr2 – 2)/7
 cntE
sclC: 2 – sr2
 v: 288
e: 864
f: 720
c: 144
 f3: 288
f4: 432
 S4443: 24
S4343: 24
Prism3: 96
sclC: sr2 – 1
 sclC: sr2 – 1 v: 144
e: 576
f: 672
c: 240
 f3: 384
f4: 288
 Octa: 48
Prism3: 192
cntE
sclF: 6sr2 – 8
 cntE
sclF: 6sr2 – 8 		v: 288
e: 576
f: 336
c: 48
 f3: 192
f8: 144
 S883: 48
sclE: 1/3
sclF: 2 – sr2
 cntE
sclF: 6sr2 – 8
sclC: (4sr2 + 7)/17
 v: 576
e: 1152
f: 720
c: 144
 f3: 192
f4: 288
f6: 96
f8: 144
 S883: 24
S864: 24
Prism3: 96
sclE: 1/3
sclC: (9 – 3sr2)/7
 sclF: (3sr2 – 2)/7
sclC: (sr2 + 3)/7
 v: 576
e: 1440
f: 1104
c: 240
 f3: 192
f4: 720
f6: 192
 S664: 24
S4443: 24
Prism6: 96
Prism3: 96
sclE: 1/3
sclF: 2 – sr2
sclC: (6sr2 – 3)/7
 sclE: 1/3
sclF: 2 – sr2
sclC: (6sr2 – 3)/7		 v: 1152
e: 2304
f: 1392
c: 240
 f4: 864
f6: 384
f8: 144
 S864: 48
Prism6: 192
CROSS POLYTOPE (R334: 16-CELL)
AND HYPER CUBE (R433: 8-CELL)
R334
 R433
 SUM
 Faces
 Cells

cntC
 v: 8
e: 24
f: 32
c:16
 f3: 32
 Tetra: 16
cntE
 CntF
 v: 24
e: 96
f: 96
c: 24
 f3: 96
 Octa: 24
sclE: 1/3
 cntF:
sclC: 1/2
 v: 48
e:120
f: 96
c: 24
 f3: 64
f6: 32
 Octa: 8
S663: 16
cntF
 cntE
 v: 32
e: 96
f: 88
c: 24
 f3: 64
f4: 24
 Tetra: 16
S4343: 8
sclF: 1/4
 cntE
sclC: 1/2
 v: 96
e: 288
f: 240
c: 48
 f3: 96
f4: 144
 Cube: 24
S4343: 24
cntC
v: 16
e: 32
f: 24
c: 8
 f4: 24
 Cube: 8
sclC: (2sr2 – 1)/7
 sclC: sr2 - 1
 v: 64
e: 192
f: 208
c: 80
 f3: 64
f4: 144
 Cube: 32
Tetra: 16
Prism3: 32
cntE
sclF: 2/5
 cntE
sclF: 1/2
 v: 96
e: 192
f: 120
c: 24
 f3: 32
f4: 24
f6: 64
 S664: 8
S663: 16
sclE: 1/3
sclF: 1/2
 cntE
sclF: 1/2
sclC: 2/3
 v: 192
e: 384
f: 240
c: 48
 f4: 144
f6: 96
 Cube: 24
S664: 24
cntE
sclC: sr2 – 1
 sclF: sr2 – 1
 v: 96
e: 288
f: 248
c: 56
 f3: 128
f4: 120
 Octa: 16
S4443: 8
Prism3: 32
sclE: 1/3
sclC: 9 – 6sr2
 sclF: sr2 – 1
sclC: (sr2 + 3)/7
 v: 192
e: 480
f: 368
c: 80
 f3: 64
f4: 240
f6: 64
 Cube: 24
S663: 16
S4443: 8
Prism6: 32
cntF
sclC: 9 – 6sr2
 sclE: sr2 – 1
 v: 64
e: 128
f: 88
c: 24
 f3: 64
f8: 24
 Tetra: 16
S883: 8
sclF: 1/4
sclC: 2 – sr2
 sclE: sr2 – 1
sclC: (sr2 + 3)/7
 v: 192
e: 480
f: 368
c: 80
 f3: 128
f4: 192
f8: 48
 S883: 8
S4343: 16
Prism8: 24
Prism3: 32
cntE
sclF: 2/5
sclC: (25 – 10sr2)/17
 sclE: sr2 – 1
sclF: (sr2 + 3)/7
 v: 192
e: 384
f: 248
c: 56
 f3: 64
f4: 96
f6: 64
f8: 24
 S864: 8
S663: 16
Prism3: 32
sclE: 1/3
sclF: 1/2
sclC: (9 – 3sr2)/7
 sclE: sr2 – 1
sclF: (sr2 + 3)/7
sclC: (sr2 + 11)/17 		v: 384
e: 768
f: 464
c: 80
 f4: 288
f6: 128
f8: 48
 S864: 8
S664: 16
Prism8: 24
Prism6: 32
R335 REGULAR 600-CELL AND
R533 REGULAR 120-CELL
R335
 R533
 SUM
 Faces
 Cells

cntC
 v: 120
e: 720
f: 1200
c: 600
 f3: 1200
 Tetra: 600
cntE
 CntF
 v: 720
e: 3600
f: 3600
c: 720
 f3: 3600
 Icosa: 120
Octa: 600
sclE: 1/3
 cntF:
sclC: (sr5 + 10)/19
 v: 1440
e: 4320
f: 3600
c: 720
 f3: 2400
f6: 1200
 Icosa: 120
S663: 600
cntF
 cntE
 v: 1200
e: 3600
f: 3120
c: 720
 f3: 2400
f5: 720
 Tetra: 600
S5353: 120
sclF: 1/4
 cntE
sclC: (sr5 + 5)/10
 v: 3600
e: 10800
f: 8640
c: 1440
 f3: 3600
f4: 3600
f5: 1440
 S4343: 600
S5353: 120
Prism5: 720
cntC
v: 600
e: 1200
f: 720
c: 120
 f5: 720
 Dodeca: 120
sclC: (2sr5 + 1)/19
 sclC: (2sr5 + 3)/11
 v: 2400
e: 7200
f: 7440
c: 2640
 f3: 2400
f4: 3600
f5: 1440
 Dodeca: 120
Tetra: 600
Prism3: 1200
Prism5: 720
cntE
sclF: 2/5
 cntE
sclF: (sr5 + 9)/19
 v: 3600
e: 7200
f: 4320
c: 720
 f3: 1200
f5: 720
f6: 2400
 S665: 120
S663: 600
sclE: 1/3
sclF: 1/2
 cntE
sclF: (sr5 + 9)/19
sclC: (sr5 + 10)/15
 v: 7200
e: 14400
f: 8640
c: 1440
 f4: 3600
f5: 1440
f6: 3600
 S665: 120
S664: 600
Prism5: 720
cntE
sclC: sr5/5
 sclF: (sr5 + 1)/6
 v: 3600
e: 10800
f: 9120
c: 1920
 f3: 4800
f4: 3600
f5: 720
 Octa: 600
S5434: 120
Prism3: 1200
sclE: 1/3
sclC: (6sr5 – 3)/19
 sclF: (sr5 + 1)/6
sclC: (3sr5 + 18)/31
 v: 7200
e: 18000
f: 13440
c: 2640
 f3: 2400
f4: 7200
f5: 1440
f6: 2400
 S663: 600
S5434: 120
Prism6: 1200
Prism5: 720
cntF
sclC: (6sr5 – 3)/19
 sclE: sr5/5
 v: 2400
e: 4800
f: 3120
c: 720
 f3: 2400
f8: 720
 Tetra: 600
SAA3: 120
sclF: 1/4
sclC: (sr5 – 1)/2
 sclE: sr5/5
sclC: (4sr5 + 15)/29
 v: 7200
e: 18000
f: 13440
c: 2640
 f3: 4800
f4: 7200
fA: 1440
 SAA3: 120
S4343: 600
PrismA: 720
Prism3: 1200
cntE
sclF: 2/5
sclC: (10sr5 – 15)/11
 sclE: sr5/5
sclF: (sr5 + 5)/10
 v: 7200
e: 14400
f: 9120
c: 1920
 f3: 2400
f4: 3600
f6: 2400
fA: 720
 SA64: 120
S663: 600
Prism3: 1200
sclE: 1/3
sclF: 1/2
sclC: 3.0sr5 – 6
 sclE: sr5/5
sclF: (sr5 + 5)/10
sclC: (5sr5 + 40)/59 		v: 14400
e: 28800
f: 17040
c: 2640
 f4: 10800
f6: 4800
fA: 1440
 SA64: 120
S664: 600
PrismA: 720
Prism6: 1200
Notations:
RXYZ: regular 4-dimensional polytope: {X, Y, Z}.
cntE, cntF, cntC: taking the centres of edges, faces, cells.
sclE, sclF, sclC: scaling edges, faces, cells from their centres with a given scaling factor.
v, e, f, c: vertices, edges, faces, cells.
fQ: regular Q-gon.  [A=10]
Tetra: tetrahedron;  Octa: octahedron;  icosa: Icosahedron;  Dodeca: dodecahedron.
SUVW, STUVW: semi-regular 3-dimensional polyhedron: (U, V, W),  (T, U, V, W).
PrismP:  prism with P lateral faces.