Made of five tetrahedra, its Petrie polygon is a regular pentagon and its orthographic projection is equivalent to the complete graph K5. It is one of six regular 4-polytopes, made of thirty-one elements: five vertices, ten edges, ten faces, five tetrahedral cells and one 4-face. A regular 120-cell, the dual polychoron to the regular 600-cell, can fit one hundred and twenty 5-cells. Also, five 24-cells fit inside a small stellated 120-cell, the first stellation of the 120-cell.A subset of the vertices of the small stellated 120-cell are matched by the great duoantiprism star, which is the only uniform nonconvex duoantiprismatic solution in the fourth dimension, constructed from the polytope cartesian product {5}⊗{5/3} and made of fifty tetrahedra, ten pentagrammic crossed antiprisms, ten pentagonal antiprisms, and fifty vertices.The grand antiprism, which is the only known non-Wythoffian construction of a uniform polychoron, is made of twenty pentagonal antiprisms and three hundred tetrahedra, with a total of one hundred vertices and five hundred edges.The abstract four-dimensional 57-cell is made of fifty-seven hemi-icosahedral cells, in-which five surround each edge. The 11-cell, another abstract 4-polytope with eleven vertices and fifty-five edges, is made of eleven hemi-dodecahedral cells each with fifteen dodecahedra.
Medical tests
On the basis of the above, a number of tests may be ordered:
An electrocardiogram (ECG)
Chest radiograph or chest x rays are frequently performed
Echocardiography can be useful in patients with known cardiac disease or aortic dissection
CT scanning is used in the diagnosis of aortic dissection
V/Q scintigraphy or CT pulmonary angiogram (when a pulmonary embolism is suspected)
Blood tests:
Troponin I or T (to indicate myocardial damage)
Complete blood count
Electrolytes and renal function (creatinine)
Liver enzymes
Creatine kinase (and CK-MB fraction in many hospitals)
D-dimer (when suspicion for pulmonary embolism is present but low)
serum lipase to exclude acute pancreatitis

Management
Management of chest pain varies with the underlying cause of the pain and the stage of care. Prehospital care
Chest pain is a common symptom encountered by emergency medical services. Aspirin increases survival in people with acute coronary syndrome and it is reasonable for EMS dispatchers to recommend it in people with no recent serious bleeding. Supplemental oxygen was used in the past for most people with chest pain but is not needed unless the oxygen saturations are less than 94% or there are signs of respiratory distress. Entonox is frequently used by EMS personnel in the prehospital environment. However, there is little evidence about its effectiveness. Hospital care
Hospital care of chest pain begins with initial survey of a persons vital signs, airway and breathing, and level of consciousness. This may also include attachment of ECG leads, cardiac monitors, intravenous lines and other medical devices depending on initial evaluation.